Question

If we fail to reject the null hypothesis for a multiple regression coefficient, it means that the corresponding predictor variable OA contibutes nothing to modeling y after allowing for all other predictors O B. has no inear relationship to y O C. has a signiticant liniear relationship with y O D. has a significant relationship with y, and it may not be linear OE. has a sigrncart relationship with y that is obscured by the oner predictors A residual plot from a simple inear regression analyss is shown to the right Use the plot to anwer the quention belo which ofthe tao..ng statements regardingthe plot true? B The condition that the residuals are normally dsributed is not met snce not all of the iuls lon the eference ne nthe The condition that the residuals have constant variation and med since the varibimeam ndthen doe-"' D The condition that the riduals have constant vanation is met since the es connecting the et ostive

Answer 1

1. (D) has a significant linear relationship with y, and it may not be linear

2.(C) The condition that the residuals have constant variance is not met since the variation increases and then decreases as x gets larger.