I'm pretty certain I correctly answered this problem, but I want to be absolutely sure:

I need to match each of the following processes (i. to v.) to the appropriate question (a) to (e):

i. Perform an Anderson-Darling test.

ii. Perform a Breusch-Pagan test.

III. Find a prediction interval for an individual response at a specific combination of predictor values.

iv. Find a confidence interval for the mean response at a specific combination of predictor values.

v. Visually compare a residual scatter plot with a predictor that has been omitted from the model on the horizontal axis.

(a) What is a suitable range of values for the average output of a manufacturing process when the inputs are set at their normal input levels?

(b) How confident are we that the regression errors for our fitted multiple linear regression have constant variance at all combinations of predictor values?

(c) What is a suitable range of values for the future GPA of an incoming student to a graduate program whose admission test scores just meet the minimum standards?

(d) Is it worth it to add a new predictor to the multiple linear regression model?

(e) Is it feasible to assume that the regression errors for the fitted multiple linear regression to have a normal distribution?