1a) Is b1 significantly different from 0 at =5%? Using the 95% confidence interval, explain how you know. b) Test the hypothesis H o :

1a) Is b1 significantly different from 0 at α=5%? Using the 95% confidence interval, explain how you know.

b) Test the hypothesis H_o: β1=0 vs. H₁: β1 > 0. Using a one side test, is b1 significantly positive at α=5%?

 

SUMMARY OUTPUT Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Regression Statistics Intercept HEIGHT 0.203223305 0.041299712 0.039517741 17.89710861 df Coefficients 540 SS 7423.559375 1 538 172324.8952 539 179748.4546 MS 7423.559375 320.3064967 F 23.17642462 Significance F 1.92337E-06 Lower 95% Upper 95% Lower 95.0% Upper 95.0% -64.39942391 -15.0149538 -64.39942391 -15.0149538 1.26233576 0.530703573 1.26233576 Standard Error t Stat P-value -39.70718885 12.56996869 -3.158893218 0.001672644 0.896519666 0.186224408 4.814189923 1.92337E-06 0.530703573