A quantitatively savvy, young couple is interested in purchasing a home in northern New York. They collected data on 48 houses that had recently sold in the area. They want to predict the selling price of homes (in thousands of dollars) based on the size of the home (in square feet).

The regression equation is Price (in thousands) = 17.1 + 0.0643 Size (sq. ft.)

Predictor Coef SE Coef T P

Constant 17.06 24.59 0.69 0.491

S = 48.5733 R-Sq = 37.5% R-Sq(adj) = 36.1%

Predicted Values for New Observations:

Size (sq. ft.) Fit SE Fit 95% CI 95% PI

2000 145.61 7.07 (131.38, 159.83) (46.80, 244.41)

Construct a 95% confidence interval for the population slope.

Note: t* = 2.013