6. (20 pts) The following is a simple linear regression output from R. The response variable is accuracy (as percentage)
Posted: Wed May 11, 2022 1:51 pm
6. (20 pts) The following is a simple linear regression output from R. The response variable is accuracy (as percentage) and the explanatory variable is average distance. (Intercept) dist Estimate 140.12062 -0.29324 Std. Error 10.35719 0.04191 t value 13.529 -6.996 Pr>t1 < 2e-16 7.55e-11 Residual standard error: 4.891 on 154 degrees of freedom (a) (6 pts) Perform the hypothesis testing H: B1 = -0.2 US HQ:B1 < -0.2. i. (4 pts) Find the t-statistic for this test which came from t154 distribution under Ho. ii. (2 pts) Decide whether we should reject Hi or not at a = 0.05, using t0,05,154 = 1.656 (b) (6 pts) Fill in the following ANOVA table for this simple linear regression model. Df Sum Sa Mean Sq. F value Pr(>F) Regression Residuals Total