12.44 Predicting house prices The House Selling Prices FL data file on the book’s website has several predictors of house selling prices. The table here shows the ANOVA table for a regression analysis of y = the selling price

(in thousands of dollars) and x = the size of house (in thousands of square feet). The prediction equation is yn = 9.2 + 77x.

a. What was the sample size? (Hint: You can figure it out from the residual df.)

b. The sample mean house size was 1.53 thousand square feet. What was the sample mean selling price? (Hint:
What does yn equal when x = x?)

c. Estimate the standard deviation of the selling prices for homes that have x = 1.53. Interpret.

d. Report an approximate prediction interval within which you would expect about 95% of the selling prices to fall for homes of size x = 1.53.

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ANOVA table for selling price and size of house: Source DF SS MS Regression 1 182220 Error 98 132213 Total 99 314433 182220 135.07 1349 F P 0.000