Multiple Regression Models On Play-boy Models
This is just the raw data set, SAS program, and SAS output for the analysis on this page.




Appendix: SAS Program and Data Set

*Alexplorer;
*Regression Models on Play-boy Models;
data playmates;
input year age bust waist hips wt ht @@;

cards;
1959 20 40 22 37 135 68.5
1959 17 36 24 36 125 65
1959 20 36 24 36 124 66
1959 22 36 24 36 105 63
1959 19 34 24 34 110 66
1959 20 39 25 37 130 68
1959 23 36 22 36 115 63.5
1959 20 35 20 35 110 64
1960 21 37 23 36 130 67
1960 21 37 24 36 126 68
1960 20 38 23 36.5 112 64
1960 21 36 23 36 125 65
1960 22 36 20 36 108 62
1960 17 37 22 35 110 65
1960 21 34 23 35 120 64
1960 22 38 20 35 105 62
1960 18 34 21 34 114 65
1960 21 33 18 32 100 62
1960 18 37 23 35 120 66
1961 20 37 21 36 110 65
1961 18 36 24 36 120 67
1961 23 37 22 36 117 64
1961 21 36 24 36 125 67
1961 23 36 22 35 108 63
1961 20 36 22 34 105 64
1961 20 35 23 35 126 69
1961 19 38 22 36 122 65
1961 20 38 24 37 120 64
1961 23 36 22 35 120 67
1961 22 35 22 35 115 66.5
1962 20 38 22 34 112 65
1962 23 36 23 35 117 64
1962 19 39 23 35 104 61
1962 19 34 21 34 102 62
1962 20 37 23 36 126 68.5
1962 22 36 22 36 116 64.5
1962 19 39 23 39 129 67
1962 23 39 23 35 120 65
1962 21 36 18 34 100 60
1962 24 36 25 36 125 66
1962 18 39 22 36 124 65.5
1962 20 36 20 34 102 62
1963 18 34 22 33 100 61
1963 18 38 22 36 120 65
1963 21 38 22 36 125 67
1963 25 37 24 36 137 68.5
1963 18 36 23 36 110 64
1963 25 34 23 34 115 66
1963 19 39 24 36 123 65
1963 25 34 22 35 115 61
1963 20 35 22 35 110 63
1963 18 37 26 37 150 72
1963 19 36 21 35 120 66
1963 17 38 22 37 118 64
1964 21 35 22 35 109 62
1964 20 36 21 36 105 66
1964 22 34 25 34 120 66
1964 18 37 24 36 118 65
1964 19 36 23 36 117 65
1964 19 34 23 34 110 62.5
1964 21 39 22 35 110 62
1964 22 35 22 35 112 64
1964 24 36 23 36 120 67
1964 21 41 25 38 145 66
1964 21 35 23 35 117 63
1964 19 36 24 36 112 64
1965 22 35 22 34 110 65
1965 18 36 23 36 115 65
1965 20 36 23 36 130 68.5
1965 19 34 20 34 98 59
1965 19 36 22 36 105 63
1965 19 34 22 35 120 65.5
1965 22 36 23 35 120 65
1965 24 34 22 36 115 66
1965 18 34 19 34 113 65
1965 21 36 24 36 117 66
1965 24 35 22 35 118 67
1965 20 37 23 36 115 68
1966 18 36 22 34 100 63
1966 21 38 23 36 119 64
1966 22 34 19 35 105 62
1966 19 35 22 35.5 98 59
1966 21 37 24 37 120 64.5
1966 21 34 22 33.5 100 60
1966 19 34 23 34 108 65
1966 19 37 24 36.5 130 67
1966 18 39 24 36 125 65
1966 21 35 23 35 132 68
1966 18 35 22 35 105 63
1967 19 35 22 34 100 62
1967 20 35 20 34 108 64
1967 18 39 24 36 110 62
1967 24 35 23 34 100 60
1967 22 35 23 35 108 64
1967 21 39 24.5 36 128 66
1967 20 36.5 20 35 116 66
1967 20 34 21 33 98 62
1967 22 36 21 35 109 65
1967 20 40 25 35 135 70
1967 21 35.5 23 34 115 66
1967 20 34 23 34 100 60
1968 20 35 23 36 118 65
1968 19 35.5 22 35 115 67
1968 19 38 23 35 110 64.5
1968 18 35 24 35 118 66
1968 23 33 21 35 93 62
1968 22 34 21.5 34 108 64
1968 23 34 23 34 100 65
1968 22 36 22 35 110 64
1968 19 36 24 35 122 64
1968 21 34 22 34 108 65
1968 24 36 24 36 118 65
1968 18 39 24 36 119 63
1969 21 36 24 37 130 67
1969 20 36.5 21 36 118 66
1969 22 36 24 34 120 64.5
1969 18 35 23 34 105 64
1969 27 36 24 35 110 64
1969 18 35.5 24 34 110 63
1969 21 36 24 34 105 62
1969 21 36 24.5 36 112 63
1969 24 36 23 34.5 110 63
1969 19 34 23 36 117 64
1969 19 35 23 36 115 66
1969 21 34 23 34 105 62
1970 18 37 24 36 120 64
1970 19 35 23 35 115 63
1970 22 35 24 35 120 67
1970 21 36.5 24 35 118 66
1970 22 36 22 34 105 64.5
1970 20 35 24 35 110 65
1970 21 35 25 36 120 66
1970 26 35 24 36 115 66
1970 21 35 24 36 118 66.5
1970 18 36 25 36 114 66.5
1970 18 34 22 34 110 66
1970 24 39 26 37 140 69
1970 22 37.5 24.5 35 118 65
1971 25 36 22.5 34 108 67.5
1971 21 34 23 34 108 64
1971 19 37 25 36 120 63
1971 24 35.5 24 35.5 126 67.5
1971 28 35.5 23 35.5 123 68
1971 23 35.5 23 35.5 117 65.5
1971 19 32 23 33.5 103 64
1971 21 35 23 35 110 65.5
1971 20 37 22 35 118 67
1971 20 36 24 36 133 71
1971 21 36 25 34 120 64.5
1971 20 37 24 36 120 66
1972 22 36 24 35 119 68
1972 22 36 25 36 121 64.5
1972 19 36.5 23.5 35 107 63
1972 23 34 22 34 115 68
1972 22 35 22 35 110 67
1972 20 36 24 36 122 67
1972 23 35 25 35 117 66
1972 21 35.5 23 34.5 105 62
1972 24 38.5 25 39 140 73
1972 23 40 22 37 125 68
1972 21 34 26 36 110 66
1972 22 36 23 36 115 64
1973 25 38 22 36 108 64
1973 22 34 22 34 103 65
1973 20 36 23 36 113 65.5
1973 22 35 24 35 125 68
1973 22 35 23 35 105 64
1973 25 35 23 35 103 62
1973 20 36 23 35 110 66
1973 23 35 23 35 120 67
1973 24 38 24 36 125 68
1973 24 37 24 36 125 67
1973 19 37 24.5 36 108 62.5
1973 23 38 23 36.5 125 68
1974 19 35 23 35 118 68
1974 23 36 24 34 110 65
1974 18 36 24 36 112 63
1974 20 36 25 36 125 68.5
1974 19 35 24 34 114 66
1974 25 37 22 35 115 66
1974 22 34 23 35 112 65.5
1974 27 36 24 36 123 67.5
1974 21 34.5 24 35 120 69.5
1974 23 38 26 37.5 143 70
1975 22 37 22 35 120 67
1975 21 37 24 36 110 65
1975 26 36 24 35 116 66.5
1975 22 36 23 35 115 66
1975 18 35 23 34 105 66
1975 26 36 23 36.5 119 66
1975 24 36 22.5 35 108 63
1975 19 36 24 35 125 68
1975 22 35 24 34 110 64.5
1975 22 34 23 34 102 67
1975 25 39 24 36 125 66
1975 21 36 24 35 110 66
1976 21 36 25 36 127 67
1976 21 35 25 37 120 65
1976 25 34 25 35 110 65.5
1976 22 36 25 36 120 66.5
1976 19 34 24 37 125 68
1976 21 36 24 34 118 66
1976 19 34 22 34.5 102 64.5
1976 23 35 24 35 100 66
1976 19 35 23 34 105 63
1976 20 36.5 25 36 120 68
1976 25 35 23 35 115 65
1976 21 35 23 35 118 68
1977 23 37 24 37 135 68
1977 22 33.5 23 35 112 65
1977 22 35 24 35 120 68
1977 19 38 25 36 130 69
1977 20 36 22 32 105 62.5
1977 20 34 24 35 110 66
1977 22 36 23 32 112 66
1977 22 35 24 36 114 64
1977 21 34 24.5 34 119 66
1977 24 36 23 36 125 70
1977 21 36 24 35 120 68
1978 19 36 24 35 120 68
1978 30 34 24 35 110 64
1978 20 34 24 35 110 66
1978 19 35 24 35 115 65
1978 22 34 23 34 110 67
1978 23 34 22 34 103 61
1978 19 32 22 32 95 66
1978 19 36 24 36 117 67
1978 24 36 23 34 101 62
1978 25 35 23 35 117 68
1978 24 36 26 36 117 67
1978 23 36 24 36 118 67.5
1979 22 37 24 34 110 67
1979 18 35 23 35 107 64
1979 20 37 24 33 104 63
1979 19 34 22 32 95 64
1979 21 34 24 34 108 65
1979 21 35 23 34 110 64.5
1979 21 35.5 24.5 34 118 67
1979 19 36 24 36 123 69
1979 25 33.5 22 34 105 67
1979 22 33 23 33 103 66
1979 22 34 23 34 110 67
1979 22 35 23 34 110 67
1980 21 38 24 36 115 68
1980 22 35.5 25 35.5 118 65.5
1980 25 35 25 36 125 68
1980 22 34.5 24 33.5 110 65
1980 23 37 24 35 130 69
1980 19 34 26 35 105 62
1980 20 35 22 34 104 67
1980 23 36 25 35 119 68
1980 19 34 22 34 115 67
1980 19 34 24 35 105 66
1980 25 34 23 33 105 67
1980 24 36 24 36 120 69
1981 20 38 26 37 123 65
1981 20 36 23 34 120 68
1981 23 36 24 36 124 68
1981 23 35 22 34 103 63
1981 21 36 24 36 105 65
1981 27 38 26 37 127 68
1981 20 36 24 34 120 67.5
1981 26 37.5 23 34 107 64
1981 22 36 24 36 120 68
1981 19 36 24 36 119 67
1981 24 36 25 36 128 70
1981 21 36 25 36 115 63
1982 19 37 22 34 101 63
1982 19 32 23 34 112 68
1982 20 35 23 33 106 66
1982 22 34 23 34 98 60.5
1982 19 36 20 34 105 65
1982 24 34 22 33 102 63
1982 19 36 22 36 115 66
1982 27 34 22 34 102 64
1982 23 34 22 35 115 67
1982 22 34 21 32 105 68
1982 24 34 24 34 125 69
1982 21 34 23 34 116 69
1983 22 36 22 35 118 67
1983 20 35 23 34 101 64
1983 19 34 22 32 103 62
1983 19 34 22 33 105 64
1983 19 34 23 34 108 65
1983 23 37 24 37 126 68
1983 25 35 22 34 108 65
1983 25 34 24 34 100 63
1983 23 35 23 34 105 65
1983 21 35 24 35 118 68
1983 20 34 22 34 112 68
1983 23 35 23 33 100 66
1984 18 35 22 34 115 68
1984 20 36 25 35 120 69
1984 20 37 24 35 118 67
1984 21 34 22 32 108 65
1984 20 36 23 32 107 65
1984 27 36 22 34 110 67
1984 22 35 23 34 116 67
1984 23 36 24 36 115 68.5
1984 21 36 25 35 105 63
1984 26 35 21 34 102 65
1984 21 40 25 36 125 68
1984 23 37 23 35 118 67
1985 20 36 24 35 118 68
1985 21 34 23 34 117 69
1985 24 37 24 35 105 67
1985 33 34 23 34 114 67
1985 32 35 24 35 122 69
1985 21 34 22 34 110 67
1985 19 36 22 32 112 67
1985 21 37.5 24 35 123 67
1985 23 34 24 34 105 65
1985 21 36 25 36 125 68.5
1985 22 36 24 35 110 65
1985 27 35 23.5 35 118 67
1986 21 36 22 34 104 65
1986 21 36 24 35 115 67
1986 27 35 23 35 118 66
1986 24 34 21 34 108 67
1986 19 34 24 34 107 66
1986 21 34 24 34 105 65
1986 25 35 24 35 110 66.5
1986 24 36 24 34 114 67
1986 19 34 23 32 110 67
1986 22 35 23 34 107 66
1986 20 36 23 35 127 70
1986 20 34 21 33 103 67
1987 25 35 23 34 105 65
1987 22 38 24 36 130 68
1987 20 32 23 34 98 61
1987 21 34 24 35 120 68
1987 28 35 21 33 107 67
1987 23 35 23 35 115 67
1987 19 32 22 34 100 62
1987 20 36 24 36 118 67
1987 18 36 24 35 105 65
1987 24 34 23 33.5 105 65
1987 22 35 24 34 127 71
1988 24 36 24 36 122 69
1988 23 34 22 33 101 65
1988 31 35 25 35 117 68
1988 30 36 25 35 125 68
1988 26 36 24 35 118 67
1988 27 35 24 35 110 67
1988 22 36 22 32 109 66.5
1988 22 36 24.5 34 105 63
1988 19 36 21 32 94 63
1988 24 35.5 24 35 123 68.5
1988 20 35 24 35 115 66
1989 23 35 24 35 122 70
1989 18 37 24 35 117 65.5
1989 21 37 24.5 36 125 70
1989 20 38 24 34 117 67
1989 22 36 23 35 114 67
1989 22 36 24 34 120 69
1989 19 34 24 32 108 65
1989 21 38 24 34 110 67
1989 18 36.22 23.62 34.25 117 66.14
1989 18 35.04 23.23 33.86 104 64.57
1989 24 36 21 32 105 64
1989 20 36 23 32 112 66
1989 23 37 24 35 120 68
1990 28 36 23 35 115 67
1990 22 36 22 34 105 67
1990 22 34 23 34 110 66
1990 20 37 24 36 120 69
1990 22 34 24 36 125 68
1990 28 35 24 35 128 68.5
1990 27 36 24 34 113 64
1990 21 34 24 35 113 66
1990 19 36 22 33 110 65.5
1990 25 36 24 34 120 66
1990 22 34 24 32 112 66
1990 20 38 24 34 126 71
1991 22 36 23 35 115 67
1991 19 36 23 36 110 66
1991 19 34 22 32 110 65
1991 22 34 23 34 109 68
1991 21 36 24 34 120 68
1991 21 38 27 38 130 69
1991 19 34 23 35 112 66
1991 19 34 22 34 105 63
1991 23 36 25 36 135 70
1991 21 34 22 35 110 66
1991 20 34 23 34 108 67
1991 23 35 24 36 120 70
1992 23 36 23 34 100 65
1992 20 36 25 35 123 68.5
1992 25 34 23 34 116 66
1992 19 36 24 36 118 67
1992 24 36 26 38 140 71
1992 22 36 26 35 115 66
1992 22 35 25 37 133 68.25
1992 24 34 24 34 123 68.5
1992 22 34 22 34 120 68.5
1992 19 36 25 36 120 66
1992 22 34 23.5 34 115 69
1992 24 36 24 35 110 66
1993 18 36 23 33 110 67
1993 19 34 24 35 120 70
1993 27 34 24 34 115 68
1993 23 36 23 34 108 66
1993 26 34 24 34 118 68.5
1993 21 36 25 36 125 68
1993 29 38 26 34 118 67
1993 22 32 22 32 100 64
1993 23 34 24 35.5 120 68.5
1993 20 38 24 34 120 67
1993 33 38 21 34 110 67.5
1993 31 34 26 36 130 71
1994 23 36 24 35 129 69
1994 23 34 24 35 126 71
1994 21 36 23 36 118 68
1994 24 36 24 36 130 70
1994 21 34 23 34 105 64
1994 24 34 24 35 124 69
1994 25 36 24 36 130 71
1994 24 32 23 33 95 62
1994 26 34 24 35 105 66
1994 21 36 23 34 120 69
1994 23 34 25 35 135 71
1994 21 34 22 34 107 66
1995 25 34 24 34 110 66
1995 20 34 21 33.5 103 62
1995 21 34 24 36 130 70
1995 25 34 24 35 124 70
1995 20 34 23 34 112 64.5
1995 23 34 24 33 106 67
1995 24 34 23 33 106 67
1995 25 34.5 24 35 123 67
1995 27 34 22 34 110 65
1995 23 34 23 34 110 68
1995 26 34 24 34 112 65
1995 22 34 24 34 117 69
1996 25 36 24 34 123 68
1996 19 34 24 34 107 64
1996 24 36 25 34 118 68
1996 30 34 24 33 115 66
1996 24 33 22 33 98 64
1996 24 34 23.5 34 123 69
1996 21 34 22 34 110 64
1996 21 34 24 34 103 65
1996 22 34 24 34 120 68
1996 24 34 22 34 102 66
1996 26 34 25 35 118 67
1996 22 35 25 37 139 70
1997 22 36 22 35 118 68
1997 22 36 24 36 125 69.5
1997 24 36 24 34 114 65
1997 20 34 21.5 31.5 95 63
1997 21 34 25 35 120 67
1997 28 34 24 34 114 66
1997 20 34 24 36 120 67.5
1997 21 36 24 32 125 67
1997 26 36 23 35 118 68
1997 22 36 24 36 121 69.5
1997 21 36 24 36 123 68
1997 26 34 24 34 125 68
1998 21 36 24 35 117 68
1998 18 34 25 36 125 69
1998 25 36 24 35 118 67
1998 21 34 23 34 125 67.5
1998 24 36 24 35 107 64.5
1998 20 34 24 34 125 68
1998 27 34 24 34 120 68.5
1998 26 34 23 33.5 95 62.5
1998 19 34 23 32 110 65
1998 21 34 23 34 113 65
1998 21 36 25 35 115 67
1998 20 34 25 34 115 68
1998 20 34 25 34 115 68
1998 20 34 25 34 115 68
1999 23 34 23 34 110 65
1999 20 34 24 35 120 69
1999 20 34 23 34 107 67
1999 22 34 22.5 34.5 127 71
1999 20 36 21 34 120 67
1999 19 36 24 34 117 66
1999 20 34 24 34 120 68
1999 26 38 28 38 140 68
1999 19 34 24 33 116 68
1999 24 32 23 34.5 112 65
1999 22 34 24 35 113 65
1999 23 34 24 35 119 67.5
2000 23 32 23 34 111 67
2000 23 32 23 34 111 67
2000 20 35 23 33 105 64
2000 20 32 24 32 105 65
2000 25 35 24 35 117 67
2000 20 36 24.5 34 115 68
2000 22 34 24 36 112 66
2000 19 36 23 35 118 69
2000 20 34 23 33 125 70.5
2000 23 34 26 33 115 68.5
2000 26 36 24 36 115 65
2000 21 36 24 34 107 65
2000 22 34 26 36 135 74
2001 23 35 24.5 36 120 69.5
2001 21 34 21 33 100 66

*normality tests on untransformed variables;
proc univariate normal plot;
 var age;
 by year;
proc univariate normal plot;
 var bust;
 by year;
proc univariate normal plot;
 var waist;
 by year;
proc univariate normal plot;
 var hips;
 by year;
proc univariate normal plot;
 var wt;
 by year;
proc univariate normal plot;
 var ht;
 by year;

*simple regression models of each of the individual variates;
proc reg;
 model year = age;
proc reg;
 model year = bust;
proc reg;
 model year = waist;
proc reg;
 model year = hips;
proc reg;
 model year = wt;
proc reg;
 model year = ht;

*correlation matrix;
proc corr pearson;
 var age bust waist hips wt ht;

*multiple regression via Maximum R^2 method;
proc reg;
 model year = age bust waist hips wt ht / selection = maxr;

*generation of all possible r^2 and R^2 values;
proc reg;
 model year = age bust waist hips wt ht / selection = rsquare;

*beta coefficients from the 6 indep var model;
proc reg simple;
 model wins = age bust waist hips wt ht / stb;

*beta coefficients from the 5 indep var model ("weight" was removed);
proc reg simple;
 model wins = age bust waist hips ht / stb;

*multiple regression via the stepwise forward method;
proc reg;
 model year = age bust waist hips wt ht / selection = forward;

*multiple regression via the stepwise backward method;
proc reg;
 model year = age bust waist hips wt ht / selection = backward;

run;


Appendix B: SAS Output

                                       The REG Procedure
                                         Model: MODEL1
                                  Dependent Variable: year

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1     5389.97672     5389.97672      39.41    <.0001
        Error                   497          67977      136.77540
        Corrected Total         498          73367

                     Root MSE             11.69510    R-Square     0.0735
                     Dependent Mean     1979.96393    Adj R-Sq     0.0716
                     Coeff Var             0.59067

                                     Parameter Estimates

                                  Parameter       Standard
             Variable     DF       Estimate          Error    t Value    Pr > |t|
             Intercept     1     1952.94828        4.33527     450.48      <.0001
             age           1        1.24396        0.19816       6.28      <.0001

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1     8456.91003     8456.91003      64.75    <.0001
        Error                   497          64910      130.60451
        Corrected Total         498          73367

                     Root MSE             11.42823    R-Square     0.1153
                     Dependent Mean     1979.96393    Adj R-Sq     0.1135
                     Coeff Var             0.57719

                                     Parameter Estimates

                                  Parameter       Standard
             Variable     DF       Estimate          Error    t Value    Pr > |t|
             Intercept     1     2078.40089       12.24365     169.75      <.0001
             bust          1       -2.77793        0.34522      -8.05      <.0001

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1     5536.84798     5536.84798      40.57    <.0001
        Error                   497          67831      136.47988
        Corrected Total         498          73367

                     Root MSE             11.68246    R-Square     0.0755
                     Dependent Mean     1979.96393    Adj R-Sq     0.0736
                     Coeff Var             0.59003

                                     Parameter Estimates

                                  Parameter       Standard
             Variable     DF       Estimate          Error    t Value    Pr > |t|
             Intercept     1     1919.23939        9.54816     201.01      <.0001
             waist         1        2.60382        0.40880       6.37      <.0001

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1     7210.33918     7210.33918      54.17    <.0001
        Error                   497          66157      133.11270
        Corrected Total         498          73367

                     Root MSE             11.53745    R-Square     0.0983
                     Dependent Mean     1979.96393    Adj R-Sq     0.0965
                     Coeff Var             0.58271

                                     Parameter Estimates

                                  Parameter       Standard
             Variable     DF       Estimate          Error    t Value    Pr > |t|
             Intercept     1     2090.05468       14.96723     139.64      <.0001
             hips          1       -3.16363        0.42985      -7.36      <.0001

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1        0.55823        0.55823       0.00    0.9510
        Error                   497          73367      147.61930
        Corrected Total         498          73367

                     Root MSE             12.14987    R-Square     0.0000
                     Dependent Mean     1979.96393    Adj R-Sq    -0.0020
                     Coeff Var             0.61364

                                    Parameter Estimates

                                  Parameter       Standard
             Variable     DF       Estimate          Error    t Value    Pr > |t|
             Intercept     1     1980.38250        6.82837     290.02      <.0001
             wt            1       -0.00365        0.05928      -0.06      0.9510

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1          10752          10752      85.35    <.0001
        Error                   497          62615      125.98599
        Corrected Total         498          73367

                     Root MSE             11.22435    R-Square     0.1466
                     Dependent Mean     1979.96393    Adj R-Sq     0.1448
                     Coeff Var             0.56690

                                     Parameter Estimates

                                  Parameter       Standard
             Variable     DF       Estimate          Error    t Value    Pr > |t|
             Intercept     1     1847.13310       14.38713     128.39      <.0001
             ht            1        2.00975        0.21755       9.24      <.0001
 
 
 
 
 
 
 

                                      The CORR Procedure

             6  Variables:    age      bust     waist    hips     wt       ht

                                      Simple Statistics

  Variable           N          Mean       Std Dev           Sum       Minimum       Maximum
  age              499      21.71743       2.64467         10837      17.00000      33.00000
  bust             499      35.43539       1.48344         17682      32.00000      41.00000
  waist            499      23.32134       1.28058         11637      18.00000      28.00000
  hips             499      34.79882       1.20275         17365      31.50000      39.00000
  wt               499     114.82565       9.18461         57298      93.00000     150.00000
  ht               499      66.09311       2.31203         32980      59.00000      74.00000
 

                          Pearson Correlation Coefficients, N = 499
                                  Prob > |r| under H0: Rho=0

                   age          bust         waist          hips            wt            ht

   age         1.00000      -0.08453       0.13572       0.00012       0.08882       0.19927
                              0.0592        0.0024        0.9978        0.0474       <.0001

   bust       -0.08453       1.00000       0.18520       0.52586       0.43321       0.10020
                0.0592                      <.0001        <.0001        <.0001        0.0252

   waist       0.13572       0.18520       1.00000       0.39181       0.53091       0.43615
                0.0024        <.0001                      <.0001        <.0001        <.0001

   hips        0.00012       0.52586       0.39181       1.00000       0.62677       0.26528
                0.9978        <.0001        <.0001                      <.0001        <.0001

   wt          0.08882       0.43321       0.53091       0.62677       1.00000       0.71112
                0.0474        <.0001        <.0001        <.0001                      <.0001

   ht          0.19927       0.10020       0.43615       0.26528       0.71112       1.00000
                <.0001        0.0252        <.0001        <.0001        <.0001

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                             Maximum R-Square Improvement: Step 1
                  Variable ht Entered: R-Square = 0.1466 and C(p) = 313.6331

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1          10752          10752      85.35    <.0001
        Error                   497          62615      125.98599
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1847.13310     14.38713      2076684  16483.5  <.0001
               ht             2.00975      0.21755        10752    85.35  <.0001

                               Bounds on condition number: 1, 1
-----------------------------------------------------------------------------------------------
                     The above model is the best  1-variable model found.

                             Maximum R-Square Improvement: Step 2
                 Variable hips Entered: R-Square = 0.3319 and C(p) = 140.0575

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     2          24348          12174     123.18    <.0001
        Error                   496          49020       98.82995
        Corrected Total         498          73367
                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1962.82608     16.11437      1466309  14836.7  <.0001
               hips          -4.50557      0.38415        13595   137.56  <.0001
               ht             2.63154      0.19984        17137   173.40  <.0001

                          Bounds on condition number: 1.0757, 4.3028
-----------------------------------------------------------------------------------------------
                     The above model is the best  2-variable model found.

                             Maximum R-Square Improvement: Step 3
                 Variable waist Entered: R-Square = 0.4052 and C(p) = 72.5739

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     3          29728     9909.34352     112.40    <.0001
        Error                   495          43639       88.16024
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1965.12790     15.22253      1469200  16665.1  <.0001
               waist          3.00877      0.38514   5380.33599    61.03  <.0001
               hips          -5.45704      0.38272        17924   203.31  <.0001
               ht             2.03601      0.20356   8819.76675   100.04  <.0001

                          Bounds on condition number: 1.3741, 11.466
-----------------------------------------------------------------------------------------------
                    The above model is the best  3-variable model found.

                             Maximum R-Square Improvement: Step 4
                   Variable wt Entered: R-Square = 0.4475 and C(p) = 34.4984

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     4          32831     8207.80071     100.03    <.0001
        Error                   494          40536       82.05698
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1880.57011     20.11842       716980  8737.59  <.0001
               waist          3.47036      0.37908   6877.18436    83.81  <.0001
               hips          -3.74302      0.46262   5371.70037    65.46  <.0001
               wt            -0.51682      0.08404   3103.17227    37.82  <.0001
               ht             3.14795      0.26695        11411   139.06  <.0001

                           Bounds on condition number: 3.616, 36.948
-----------------------------------------------------------------------------------------------
                     The above model is the best  4-variable model found.

                             Maximum R-Square Improvement: Step 5
                  Variable age Entered: R-Square = 0.4672 and C(p) = 17.8148

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     5          34278     6855.58691      86.46    <.0001
        Error                   493          39089       79.28888
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1878.01832     19.78519       714384  9009.88  <.0001
               age            0.66231      0.15505   1446.73171    18.25  <.0001
               waist          3.32697      0.37414   6269.73347    79.07  <.0001
               hips          -3.70454      0.45484   5259.76199    66.34  <.0001
               wt            -0.49196      0.08282   2797.86605    35.29  <.0001
               ht             2.95607      0.26622   9775.65910   123.29  <.0001

                           Bounds on condition number: 3.634, 51.955
                     The above model is the best  5-variable model found.

                             Maximum R-Square Improvement: Step 6
                  Variable bust Entered: R-Square = 0.4807 and C(p) = 7.0000

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     6          35270     5878.37049      75.92    <.0001
        Error                   492          38097       77.43319
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1909.05800     21.38868       616875  7966.55  <.0001
               age            0.62139      0.15365   1266.43812    16.36  <.0001
               bust          -1.17191      0.32737    992.28842    12.81  0.0004
               waist          3.24521      0.37044   5942.68584    76.75  <.0001
               hips          -3.21603      0.46974   3629.47204    46.87  <.0001
               wt            -0.40623      0.08527   1757.25977    22.69  <.0001
               ht             2.75089      0.26926   8082.14294   104.38  <.0001

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                             Maximum R-Square Improvement: Step 6

                          Bounds on condition number: 3.9451, 75.099
-----------------------------------------------------------------------------------------------
                     The above model is the best  6-variable model found.
                        No further improvement in R-Square is possible.

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                   R-Square Selection Method

                      Number in
                        Model      R-Square    Variables in Model
                             1       0.1466    ht
                             1       0.1153    bust
                             1       0.0983    hips
                             1       0.0755    waist
                             1       0.0735    age
                             1       0.0000    wt
                      ---------------------------------------------------
                             2       0.3319    hips ht
                             2       0.2995    wt ht
                             2       0.2908    bust ht
                             2       0.2850    waist hips
                             2       0.2333    bust waist
                             2       0.1861    age ht
                             2       0.1744    age bust
                             2       0.1718    age hips
                             2       0.1609    waist ht
                             2       0.1601    hips wt
                             2       0.1409    bust wt
                             2       0.1404    bust hips
                             2       0.1311    age waist
                             2       0.1062    waist wt
                             2       0.0742    age wt
                      ---------------------------------------------------
                             3       0.4052    waist hips ht
                             3       0.3743    waist wt ht
                             3       0.3651    bust hips ht
                             3       0.3625    age hips ht
                             3       0.3538    hips wt ht
                             3       0.3425    bust wt ht
                             3       0.3289    age waist hips
                             3       0.3282    age wt ht
                             3       0.3239    bust waist ht
                             3       0.3226    bust waist hips
                             3       0.3161    age bust ht
                             3       0.2920    waist hips wt
                             3       0.2703    age bust waist
                             3       0.2336    bust waist wt
                             3       0.2212    bust hips wt
                             3       0.2198    age hips wt
                             3       0.2039    age bust hips
                             3       0.1979    age waist ht
                             3       0.1907    age bust wt
                             3       0.1636    age waist wt
                      ---------------------------------------------------
                             4       0.4475    waist hips wt ht
                             4       0.4375    bust waist hips ht
                             4       0.4291    age waist hips ht
                             4       0.4142    bust waist wt ht
                             4       0.3955    age waist wt ht
                             4       0.3904    age bust hips ht
                             4       0.3818    age hips wt ht
                             4       0.3754    bust hips wt ht
                             4       0.3660    age bust wt ht
                             4       0.3594    age bust waist hips
                             4       0.3452    age bust waist ht
                             4       0.3372    bust waist hips wt
                             4       0.3340    age waist hips wt
                             4       0.2713    age bust waist wt
                             4       0.2680    age bust hips wt
                      ---------------------------------------------------
                             5       0.4672    age waist hips wt ht
                             5       0.4635    bust waist hips wt ht
                             5       0.4568    age bust waist hips ht
                             5       0.4313    age bust waist wt ht
                             5       0.3997    age bust hips wt ht
                             5       0.3706    age bust waist hips wt
                      ---------------------------------------------------
                             6       0.4807    age bust waist hips wt ht

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                   Forward Selection: Step 1
                  Variable ht Entered: R-Square = 0.1466 and C(p) = 313.6331
 

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     1          10752          10752      85.35    <.0001
        Error                   497          62615      125.98599
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1847.13310     14.38713      2076684  16483.5  <.0001
               ht             2.00975      0.21755        10752    85.35  <.0001

                               Bounds on condition number: 1, 1
-----------------------------------------------------------------------------------------------
                                   Forward Selection: Step 2
                 Variable hips Entered: R-Square = 0.3319 and C(p) = 140.0575

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     2          24348          12174     123.18    <.0001
       Error                   496          49020       98.82995
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1962.82608     16.11437      1466309  14836.7  <.0001
               hips          -4.50557      0.38415        13595   137.56  <.0001
               ht             2.63154      0.19984        17137   173.40  <.0001

                          Bounds on condition number: 1.0757, 4.3028
-----------------------------------------------------------------------------------------------
                                   Forward Selection: Step 3
                 Variable waist Entered: R-Square = 0.4052 and C(p) = 72.5739

                                     Analysis of Variance
                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     3          29728     9909.34352     112.40    <.0001
        Error                   495          43639       88.16024
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1965.12790     15.22253      1469200  16665.1  <.0001
               waist          3.00877      0.38514   5380.33599    61.03  <.0001
               hips          -5.45704      0.38272        17924   203.31  <.0001
               ht             2.03601      0.20356   8819.76675   100.04  <.0001

                          Bounds on condition number: 1.3741, 11.466
-----------------------------------------------------------------------------------------------
                                   Forward Selection: Step 4
                   Variable wt Entered: R-Square = 0.4475 and C(p) = 34.4984

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     4          32831     8207.80071     100.03    <.0001
        Error                   494          40536       82.05698
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1880.57011     20.11842       716980  8737.59  <.0001
               waist          3.47036      0.37908   6877.18436    83.81  <.0001
               hips          -3.74302      0.46262   5371.70037    65.46  <.0001
               wt            -0.51682      0.08404   3103.17227    37.82  <.0001
               ht             3.14795      0.26695        11411   139.06  <.0001

                           Bounds on condition number: 3.616, 36.948
-----------------------------------------------------------------------------------------------
                                   Forward Selection: Step 5
                  Variable age Entered: R-Square = 0.4672 and C(p) = 17.8148

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     5          34278     6855.58691      86.46    <.0001
        Error                   493          39089       79.28888
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1878.01832     19.78519       714384  9009.88  <.0001
               age            0.66231      0.15505   1446.73171    18.25  <.0001
               waist          3.32697      0.37414   6269.73347    79.07  <.0001
               hips          -3.70454      0.45484   5259.76199    66.34  <.0001
               wt            -0.49196      0.08282   2797.86605    35.29  <.0001
               ht             2.95607      0.26622   9775.65910   123.29  <.0001

                           Bounds on condition number: 3.634, 51.955
-----------------------------------------------------------------------------------------------
                                   Forward Selection: Step 6
                  Variable bust Entered: R-Square = 0.4807 and C(p) = 7.0000

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     6          35270     5878.37049      75.92    <.0001
        Error                   492          38097       77.43319
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1909.05800     21.38868       616875  7966.55  <.0001
               age            0.62139      0.15365   1266.43812    16.36  <.0001
               bust          -1.17191      0.32737    992.28842    12.81  0.0004
               waist          3.24521      0.37044   5942.68584    76.75  <.0001
               hips          -3.21603      0.46974   3629.47204    46.87  <.0001
               wt            -0.40623      0.08527   1757.25977    22.69  <.0001
               ht             2.75089      0.26926   8082.14294   104.38  <.0001

                          Bounds on condition number: 3.9451, 75.099
-----------------------------------------------------------------------------------------------
                        All variables have been entered into the model.

                                 Summary of Forward Selection

             Variable     Number     Partial      Model
     Step    Entered      Vars In    R-Square    R-Square     C(p)      F Value    Pr > F

       1     ht               1       0.1466      0.1466     313.633      85.35    <.0001
       2     hips             2       0.1853      0.3319     140.057     137.56    <.0001
       3     waist            3       0.0733      0.4052     72.5739      61.03    <.0001
       4     wt               4       0.0423      0.4475     34.4984      37.82    <.0001
       5     age              5       0.0197      0.4672     17.8148      18.25    <.0001
       6     bust             6       0.0135      0.4807      7.0000      12.81    0.0004

                                       The REG Procedure
                                         Model: MODEL1
                                   Dependent Variable: year

                                 Backward Elimination: Step 0
                  All Variables Entered: R-Square = 0.4807 and C(p) = 7.0000

                                     Analysis of Variance

                                            Sum of           Mean
        Source                   DF        Squares         Square    F Value    Pr > F
        Model                     6          35270     5878.37049      75.92    <.0001
        Error                   492          38097       77.43319
        Corrected Total         498          73367

                            Parameter     Standard
               Variable      Estimate        Error   Type II SS  F Value  Pr > F
               Intercept   1909.05800     21.38868       616875  7966.55  <.0001
               age            0.62139      0.15365   1266.43812    16.36  <.0001
               bust          -1.17191      0.32737    992.28842    12.81  0.0004
               waist          3.24521      0.37044   5942.68584    76.75  <.0001
               hips          -3.21603      0.46974   3629.47204    46.87  <.0001
               wt            -0.40623      0.08527   1757.25977    22.69  <.0001
               ht             2.75089      0.26926   8082.14294   104.38  <.0001

                          Bounds on condition number: 3.9451, 75.099
-----------------------------------------------------------------------------------------------
             All variables left in the model are significant at the 0.1000 level.





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