The SAS System 1 Obs disp force 1 0 0 2 1 49 3 2 101 4 3 149 5 4 201 The SAS System 2 The REG Procedure Number of Observations Read 5 Number of Observations Used 5 Descriptive Statistics Uncorrected Variable Sum Mean SS Variance Intercept 5.00000 1.00000 5.00000 0 disp 10.00000 2.00000 30.00000 2.50000 force 500.00000 100.00000 75204 6301.00000 Descriptive Statistics Standard Variable Deviation Label Intercept 0 Intercept disp 1.58114 Displacement force 79.37884 Force Uncorrected Correlation Variable Label disp force disp Displacement 1.0000 1.0000 force Force 1.0000 1.0000 The SAS System 69 The REG Procedure Model: MODEL1 Model Crossproducts X'X X'Y Y'Y Variable Label disp force disp Displacement 30 1502 force Force 1502 75204 The SAS System 3 The REG Procedure Model: MODEL1 Dependent Variable: force Force Number of Observations Read 5 Number of Observations Used 5 X'X Inverse, Parameter Estimates, and SSE Variable Label disp force disp Displacement 0.0333333333 50.066666667 force Force 50.066666667 3.8666666667 NOTE: No intercept in model. R-Square is redefined. Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 75200 75200 77793.2 <.0001 Error 4 3.86667 0.96667 Uncorrected Total 5 75204 Root MSE 0.98319 R-Square 0.9999 Dependent Mean 100.00000 Adj R-Sq 0.9999 Coeff Var 0.98319 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value disp Displacement 1 50.06667 0.17951 278.91 Parameter Estimates Variable Label DF Pr > |t| disp Displacement 1 <.0001 The SAS System 4 The REG Procedure Model: MODEL1 Dependent Variable: force Force Output Statistics Dependent Predicted Std Error Obs Variable Value Mean Predict 95% CL Mean 1 0 0 0 0 0 2 49.0000 50.0667 0.1795 49.5683 50.5651 3 101.0000 100.1333 0.3590 99.1366 101.1301 4 149.0000 150.2000 0.5385 148.7048 151.6952 5 201.0000 200.2667 0.7180 198.2731 202.2602 Output Statistics Std Error Student Obs 95% CL Predict Residual Residual Residual 1 -2.7298 2.7298 0 0.983 0 2 47.2918 52.8416 -1.0667 0.967 -1.103 3 97.2273 103.0394 0.8667 0.915 0.947 4 147.0876 153.3124 -1.2000 0.823 -1.459 5 196.8864 203.6469 0.7333 0.672 1.092 Output Statistics Cook's Obs -2-1 0 1 2 D 1 | | | 0.000 2 | **| | 0.042 3 | |* | 0.138 4 | **| | 0.912 5 | |** | 1.362 Sum of Residuals -0.66667 Sum of Squared Residuals 3.86667 Predicted Residual SS (PRESS) 7.62576 The SAS System 5 The REG Procedure Number of Observations Read 5 Number of Observations Used 5 Descriptive Statistics Uncorrected Variable Sum Mean SS Variance Intercept 5.00000 1.00000 5.00000 0 disp 10.00000 2.00000 30.00000 2.50000 force 500.00000 100.00000 75204 6301.00000 Descriptive Statistics Standard Variable Deviation Label Intercept 0 Intercept disp 1.58114 Displacement force 79.37884 Force Correlation Variable Label disp force disp Displacement 1.0000 0.9999 force Force 0.9999 1.0000 The SAS System 6 The REG Procedure Model: MODEL1 Model Crossproducts X'X X'Y Y'Y Variable Label Intercept disp force Intercept Intercept 5 10 500 disp Displacement 10 30 1502 force Force 500 1502 75204 The SAS System 7 The REG Procedure Model: MODEL1 Dependent Variable: force Force Number of Observations Read 5 Number of Observations Used 5 X'X Inverse, Parameter Estimates, and SSE Variable Label Intercept disp force Intercept Intercept 0.6 -0.2 -0.4 disp Displacement -0.2 0.1 50.2 force Force -0.4 50.2 3.6 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 25200 25200 21000.3 <.0001 Error 3 3.60000 1.20000 Corrected Total 4 25204 Root MSE 1.09545 R-Square 0.9999 Dependent Mean 100.00000 Adj R-Sq 0.9998 Coeff Var 1.09545 Parameter Estimates Parameter Standard Variable Label DF Estimate Error t Value Intercept Intercept 1 -0.40000 0.84853 -0.47 disp Displacement 1 50.20000 0.34641 144.91 Parameter Estimates Variable Label DF Pr > |t| Intercept Intercept 1 0.6695 disp Displacement 1 <.0001 The SAS System 8 The REG Procedure Model: MODEL1 Dependent Variable: force Force Output Statistics Dependent Predicted Std Error Obs Variable Value Mean Predict 95% CL Mean 1 0 -0.4000 0.8485 -3.1004 2.3004 2 49.0000 49.8000 0.6000 47.8905 51.7095 3 101.0000 100.0000 0.4899 98.4409 101.5591 4 149.0000 150.2000 0.6000 148.2905 152.1095 5 201.0000 200.4000 0.8485 197.6996 203.1004 Output Statistics Std Error Student Obs 95% CL Predict Residual Residual Residual 1 -4.8097 4.0097 0.4000 0.693 0.577 2 45.8251 53.7749 -0.8000 0.917 -0.873 3 96.1811 103.8189 1.0000 0.980 1.021 4 146.2251 154.1749 -1.2000 0.917 -1.309 5 195.9903 204.8097 0.6000 0.693 0.866 Output Statistics Cook's Obs -2-1 0 1 2 D 1 | |* | 0.250 2 | *| | 0.163 3 | |** | 0.130 4 | **| | 0.367 5 | |* | 0.563 Sum of Residuals 0 Sum of Squared Residuals 3.60000 Predicted Residual SS (PRESS) 9.05740