Illustration of Hooke's Law 1 Obs disp force 1 0 0 2 1 49 3 2 101 4 3 149 5 4 201 Illustration of Hooke's Law 2 The MEANS Procedure Variable Label N Mean Std Dev ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ disp Displacement of Spring 5 2.0000000 1.5811388 force Counterforce of Spring 5 100.0000000 79.3788385 ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Variable Label Minimum Maximum ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ disp Displacement of Spring 0 4.0000000 force Counterforce of Spring 0 201.0000000 ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Illustration of Hooke's Law 3 The REG Procedure Number of Observations Read 5 Number of Observations Used 5 Correlation Variable Label disp force disp Displacement of Spring 1.0000 0.9999 force Counterforce of Spring 0.9999 1.0000 Illustration of Hooke's Law 4 The REG Procedure Model: MODEL1 Dependent Variable: force Counterforce of Spring Number of Observations Read 5 Number of Observations Used 5 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 disp Displacement of Spring 1 50.06667 0.17951 Parameter Estimates Variable Label DF t Value Pr > |t| disp Displacement of Spring 1 278.91 <.0001 Illustration of Hooke's Law 5 The REG Procedure Model: MODEL2 Dependent Variable: force Counterforce of Spring Number of Observations Read 5 Number of Observations Used 5 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 Intercept Intercept 1 -0.40000 0.84853 disp Displacement of Spring 1 50.20000 0.34641 Parameter Estimates Variable Label DF t Value Pr > |t| Intercept Intercept 1 -0.47 0.6695 disp Displacement of Spring 1 144.91 <.0001