Please answer Q4

the skin cancer data set:

4. This question will use the skin cancer data set that is on the class website. Say it is of interest if latitude is predictive of mortality rate due to skin cancer. Fit a simple linear model where X=Lat and Y=Mort. a. Using a o = 0.05 significance level, conduct a formal statistical test of whether latitude has a linear association with the mortality. b. Find and interpret a 99% confidence interval for the mean mortality rate when Lat=40. c. Find and interpret a 99% prediction interval for the mortality rate when Lat=40. d. What can you say about the center of the confidence interval and prediction interval. Is it the same? Explain in a sentence or two why or why not it would be the same. e. How does the width of the confidence interval compare to the prediction interval. Explain in a sentence or two.