Question

An article in the Journal of Applied Polymer Science (Vol. 56, pp. 471-476, 1995) studied the effect of the mole ratio of sebacic acid on the intrinsic viscosity of copolyesters. The data follow: x More ratio 1.0 0.9 0.8 0.7 0.6 0.5 0.40.3 y Viscosity 0.45 0.20 0.34 0.58 0.70 0.570.55 0.44 Round your answers to 3 decimal places. (a) Fit a simple linear regression model to these data. (b) Calculate R2 for the model R2.

Answer 1

SUMMARY OUTPUT Rearession Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.463364 0.215 0.083824 0.14999 ANOVA MS gnificance F Regression Residual Total 1 0.036905 0.036905 1.640455 0.247541 6 0.1349820.022497 7 0.171888 coefficientandard Err tstat P-value Lower 95%Up er95%ower 95.09pper 95.0% Intercept 0.671 0.159509 4.209351 0.005627 0.281125 1.061733 0.2811251.061733 0.296 0.23144 -1.2808 0.247541 -0.86274 0.269884 -0.86274 0.269884

y = 0.671-0.296*x

R^2 = 0.215