Please answer all parts, parts a-e, of question 1. Please show all work and all steps.

In order to get additional data from these data points, you will need to use a program software such as SAS. You can enter the data points and then get values such as the slope, intercept, mean square error, and any other data to help solve parts a-e.

1.) Straight-Line Regression Analysis. Given the data set below, solve the following questions:

Data set with house size X (in hundreds of square feet) and the house price Y (in thousands of dollars). The data points (X, Y) are listed. There are 7 data points.

(18, 80)

(20, 95)

(25, 104)

(22, 110)

(33, 175)

(19, 85)

(17, 89)

a. Construct 95% confidence interval for 1.

b. Would you reject the null hypothesis 0: 1 = 0 based on the confidence interval (point (f))? Explain.

c. Construct 95% prediction interval for at 0 = 17.

d. Construct 95% confidence interval for the mean response at 0 = 17.

e. Construct 95% confidence band and 95% prediction band for the given data together with the fitted model. Comment on the graph.