A Realtor collects the data set given in DS 12.2.4 concerning the sizes of a random selection

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A Realtor collects the data set given in DS 12.2.4 concerning the sizes of a random selection of newly constructed houses in a certain area together with their appraised values for tax purposes.
(a) Fit a linear regression model with appraised value as the dependent variable and size as the explanatory variable.
(b) What is the predicted value of a house with 2600 square feet?
(c) How does the predicted value change as the size increases by 100 square feet?
(d) What is the estimate of the error variance?
(This problem is continued in Problems 12.3.6, 12.4.6,
12.5.5, 12.6.8, 12.7.4, and 12.9.6.)
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