A study was conducted to determine the effect of the geographical distance to a city center on the selling price of a residential property. The following data cover a random sample of new residential housings sold from July 2014 to June 2016 with their respective distances (miles) from the city center and the median home price (all figures in $thousands).

Distance (miles) Median Home Price ($ 000)

12 390 15 400 28 310 20 290 5 410 9 400 25 300 2 490 13 370 10 350 18 320 8 400

a. Determine the regression equation by using the data provided. Clearly state the dependent and independent variables.

b. Estimate the median home price when a property is 17 miles from the city center. Do you think your answer is reliable? Explain.

c. Construct a 90% confidence interval to estimate the average median home price by using the given distance in part

b, providing the SSE = 8877.9791.

d. Construct a 90% confidence interval to estimate the regression slope interval by using the SSE value given in part

c. Interpret your result.