data sqrt; input y x; sqrty=y**.5; cards; 11 0.0950 07 0.1920 07 0.0750 19 0.2078 09 0.1382 04 0.0540 03 0.1292 01 0.0530 03 0.0629 ; proc reg simple corr; model y=x / adjrsq stb; plot (x)*(y residual.) /hplots=2 vplots=2; run; proc reg simple corr; model sqrty=x / adjrsq stb; plot (x)*(sqrty residual.) /hplots=2 vplots=2; run; Descriptive Statistics Variables Sum Mean Uncorrected SS INTERCEP 9 1 9 X 1.0071 0.1119 0.14016813 Y 64 7.1111111111 696 Variables Variance Std Deviation INTERCEP 0 0 X 0.003434205 0.0586020904 Y 30.111111111 5.4873592111 Correlation CORR X Y X 1.0000 0.6957 Y 0.6957 1.0000 Model: MODEL1 Dependent Variable: Y Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 116.58543 116.58543 6.565 0.0374 Error 7 124.30346 17.75764 C Total 8 240.88889 Root MSE 4.21398 R-square 0.4840 Dep Mean 7.11111 Adj R-sq 0.4103 C.V. 59.25911 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 -0.178328 3.17276476 -0.056 0.9567 X 1 65.142442 25.42345019 2.562 0.0374 Standardized Variable DF Estimate INTERCEP 1 0.00000000 X 1 0.69568678 -+------+------+------+------+-- -+------+------+------+------+-- | | | | 0.25 + + 0.25 + + | | | | | | | | | | | | | 1 | | 1 | 0.20 + + 0.20 + + X | 1 | X | 1 | | | | | | | | | | | | | 0.15 + + 0.15 + + | 1 | | 1 | | 1 | | 1 | | | | | | | | | 0.10 + 1 + 0.10 + 1 + | | | | | 1 | | 1 | | | | | | 1 | | 1 | 0.05 + 1 1 + 0.05 + 1 1 + | | | | -+------+------+------+------+-- -+------+------+------+------+-- 0 5 10 15 20 -10 -5 0 5 10 Y RESIDUAL Descriptive Statistics Variables Sum Mean Uncorrected SS INTERCEP 9 1 9 X 1.0071 0.1119 0.14016813 SQRTY 22.431127971 2.4923475524 64 Variables Variance Std Deviation INTERCEP 0 0 X 0.003434205 0.0586020904 SQRTY 1.0117291381 1.0058474726 Correlation CORR X SQRTY X 1.0000 0.6904 SQRTY 0.6904 1.0000 The SAS System 19:35 Tuesday, December 21, 1999 5 Model: MODEL1 Dependent Variable: SQRTY Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 3.85780 3.85780 6.375 0.0395 Error 7 4.23603 0.60515 C Total 8 8.09383 Root MSE 0.77791 R-square 0.4766 Dep Mean 2.49235 Adj R-sq 0.4019 C.V. 31.21201 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 1.166352 0.58570062 1.991 0.0867 X 1 11.849828 4.69323498 2.525 0.0395 Standardized Variable DF Estimate INTERCEP 1 0.00000000 X 1 0.69038764 -+------+------+------+------+-- -+------+------+------+------+-- | | | | 0.25 + + 0.25 + + | | | | | | | | | | | | | 1 | | 1 | 0.20 + + 0.20 + + X | 1 | X | 1 | | | | | | | | | | | | | 0.15 + + 0.15 + + | 1 | | 1 | | 1 | |1 | | | | | | | | | 0.10 + 1 + 0.10 + 1 + | | | | | 1 | | 1 | | | | | | 1 | | 1 | 0.05 +1 1 + 0.05 + 1 1 + | | | | -+------+------+------+------+-- -+------+------+------+------+-- 1 2 3 4 5 -1.0 -0.5 0.0 0.5 1.0 SQRTY RESIDUAL