1 EXAMPLE 5. MULTIPLE LINEAR REGRESSION: HEALTH CLUB DATA 1 16:31 Tuesday, June 19, 2001 The CORR Procedure 5 Variables: Y X1 X2 X3 X4 Simple Statistics Variable N Mean Std Dev Sum Y 30 370.93333 69.45896 11128 X1 30 176.60000 35.42802 5298 X2 30 63.53333 7.98591 1906 X3 30 195.93333 35.69887 5878 X4 30 72.46667 10.08493 2174 Simple Statistics Variable Minimum Maximum Y 252.00000 487.00000 X1 125.00000 257.00000 X2 51.00000 80.00000 X3 150.00000 313.00000 X4 56.00000 96.00000 Pearson Correlation Coefficients, N = 30 Prob > |r| under H0: Rho=0 Y X1 X2 X3 X4 Y 1.00000 0.79809 0.50112 0.45159 0.84807 <.0001 0.0048 0.0122 <.0001 X1 0.79809 1.00000 0.41992 0.73364 0.64312 <.0001 0.0209 <.0001 0.0001 X2 0.50112 0.41992 1.00000 0.06339 0.53885 0.0048 0.0209 0.7393 0.0021 X3 0.45159 0.73364 0.06339 1.00000 0.41032 0.0122 <.0001 0.7393 0.0243 X4 0.84807 0.64312 0.53885 0.41032 1.00000 <.0001 0.0001 0.0021 0.0243 1 EXAMPLE 5. MULTIPLE LINEAR REGRESSION: HEALTH CLUB DATA 2 16:31 Tuesday, June 19, 2001 The REG Procedure Model: MODEL1 Dependent Variable: Y Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 4 119141 29785 35.85 <.0001 Error 25 20771 830.83903 Corrected Total 29 139912 Root MSE 28.82428 R-Square 0.8515 Dependent Mean 370.93333 Adj R-Sq 0.8278 Coeff Var 7.77074 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 -8.86257 55.51986 -0.16 0.8745 X1 1 1.24289 0.28439 4.37 0.0002 X2 1 -0.50174 0.86708 -0.58 0.5680 X3 1 -0.47562 0.24058 -1.98 0.0592 X4 1 3.93793 0.75223 5.23 <.0001 1 EXAMPLE 5. MULTIPLE LINEAR REGRESSION: HEALTH CLUB DATA 3 16:31 Tuesday, June 19, 2001 The REG Procedure Model: MODEL1 Dependent Variable: Y Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 115862 57931 65.04 <.0001 Error 27 24049 890.72182 Corrected Total 29 139912 Root MSE 29.84496 R-Square 0.8281 Dependent Mean 370.93333 Adj R-Sq 0.8154 Coeff Var 8.04591 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 -63.22736 40.28040 -1.57 0.1281 X1 1 0.84481 0.20428 4.14 0.0003 X4 1 3.93240 0.71763 5.48 <.0001