2. (6x2 = 12 points) State whether each of the following statements is true or false. For the statements that are false, explain why they are false. (a) A confidence interval for the mean response will be valid only if all LINE conditions are satisfied. (b) Increasing the sample size, n, while keeping the confidence level fixed ensures that the widths of both a mean response confidence interval and a new response prediction interval will be decreased. (c) A clear linear trend in a scatterplot with residuals on the vertical axis and fitted values on the horizontal axis suggests that the multiple linear regression linearity assumption is likely satisfied. (d) Since a fitted value for a multiple linear regression model is simply a linear combination of the predictors, once a residual scatterplot with fitted values on the horizontal axis has been assessed, there is no need to also consider residual scatterplots with each predictor on the horizontal axis. (e) A small p-value associated with the Anderson-Darling test for error normality indicates that the regression errors are normally distributed. (f) A large p-value associated with the Breusch-Pagan test for constant error variance indicates that the regression errors have constant variance