Stat 3500 Section 8Due: April 231/6.Stat 3500 Section 8Homework 5Due on April 23•Instruction:–There are 5 problems in this homework.–Please list your name and student number clearly.–Use mintab ONLY for minitab problems, and you should provide output from minitabas requested by the problems.–In order to receive credit for a problem, your solution must show sufficient details sothat the grader can determine how you obtained your answer.Name:Student ID:

Stat 3500 Section 8Due: April 232/6Question 1.True or False QuestionsFor the following statements circle (T)rue or (F)alse.

In multiple linear regression,ˆβiis the estimated change inyfor 1 unit change inxi.

In multiple linear regression, the sum of the residual can be positive or negative.

In multiple linear regression, if the p-value for a covariate is large, it means that this covariateis more useful.

In multiple linear regression, a largeR2means the model is more useful.

In multiple linear regression,R2increases as the number of covariates included increases.

In multiple linear regression, it is possible thatR2a> R2.

If the relationship betweenxandyis non-linear, then a linear model can never be used.

If we want to use a linear model to compare the mean blood pressure of Freshman, Sophomore,Junior and Senior, we need 4 dummy variables to code the model.