Refer to Exercise 12.7. Portions of the MINITAB printout are shown here. a....

Refer to Exercise 12.7. Portions of the MINITAB printout are shown here.

a. Find a 95% confidence interval for the average value of y when x = 2.

b. Find a 95% prediction interval for some value of y to be observed in the future when x = 2.

c. The last line in the third section of the printout indicates a problem with one of the fitted values. What value of x corresponds to the fitted value = 1.5429? What problem has the MINITAB program detected?

Reference:

Six points have these coordinates:

a. Find the least-squares line for the data.

b. Plot the six points and graph the line. Does the line appear to provide a good fit to the data points?

c. Use the least-squares line to predict the value of y when x = 3.5.

d. Fill in the missing entries in the MINITAB analysis of variance table.