A+ Answers

1. In a multiple regression model with 3 predictors for a sample of size 53, it is found that SST=325.68, SSE=102.34. The value of the F-statistic is

2. A regression model with 3 predictors is fitted to a sample of size 32. For a particular set of values of the 3 predictors, it is found that s.e.(ε^)=1.125 and the 95% confident interval for the response is (0.326, 4.978). Find the prediction interval of the response for the same set of predictors’ values.

3. A linear regression model with 4 predictors is fitted to a random sample of size 35. It is found that value of the multiple coefficient of determination is R2 = 0.35. Test for the overall utility of the model at α=0.05 and identify which of the following statements is the most appropriate.
Answer:

4. A researcher is evaluating a linear regression model with 5 predictors using a random sample of size 66. He considers whether it makes sense to drop two predictors to simplify the model. The sum of squared errors resulted from the 5 and 3 predictors are SSE(x1,x2,x3,x4,x5) = 120 and SSE(x1,x2,x3) = 130. Which of the following is the most appropriate statement?