Note: For all questions involving Minitab, attach your output and label it with relevant question # and part #. Also give the answers for any required calculations on separate pieces of paper (you do not have to calculate by hand anything that Minitab calculates for you, you just have to write it down on a separate piece of paper). Deposit your completed assignment in the appropriate "DROP BOX", across the hall from room 240 in the Western Science Centre.

1. Using data from problem 6 in Chapter 5, on page 69 of the textbook:

1. Determine the least-squares estimates of the slope and intercept for the straight-line regression of ATST (Y) on AGE (X). Draw the estimated line on the accompanying scatter diagram, and comment on the fit.
2. Are any of the assumptions for straight-line regression clearly not satisfied in this example?
3. Test the null hypothesis that the true slope is 0; be sure to interpret your result.
4. Obtain a 95% confidence interval for b ₁. Interpret your result.
5. Would you reject the null hypothesis H₀: b ₁ = 0 based on the confidence interval you calculated in part (d)? Explain.
6. Determine 95% confidence bands on the accompanying scatter diagram.
7. Using a 95% prediction interval, estimate ATST when AGE = 10. Interpret your result.

2. Using data from problem 8 in Chapter 5, on page 73 of the textbook:

1. Determine the least-squares estimates of the slope and intercept for the straight-line regression of SAL (Y) on CGPA (X). Draw the estimated line on the accompanying scatter diagram, and comment on the fit.
2. Are any of the assumptions for straight-line regression clearly not satisfied in this example?
3. Obtain a 95% confidence interval for b ₁ ?
4. Would you reject the null hypothesis H₀: b ₁ = 4000 at the a = 0.05 level?
5. Find and graph 95% confidence and prediction bands.
6. Would you reject the hypothesis H₀: m _Y|X = 11,500 at X₀ = 2.75?
7. Using a 95% prediction interval, predict the salary of a college graduate with a cumulative grade-point average of 2.75.

2. Using data from problem 10 in Chapter 5, on page 75 of the textbook:

2. Test for the significance of the straight-line regression. Interpret your result.

c. Determine 95% confidence intervals for the true mean survival time m _Y|X (where