Question: Consider an estimated linear regression model with a response Y and 5 predictors X 1, X 2, X 3, X 4, X 5based on home

Consider an estimated linear regression model with a response Y and 5 predictorsX1,X2,X3,X4,X5based on home sales in the city. For a random sample of 130 homes sold recently, the following estimates are obtained using Excel.

Coefficients Standard Error

Intercept 9287.3037 20264.207

X1 66.061227 8.9264107

X2 -2963.8816 7802.7407

X3 23764.209 9667.0609

X4 8238.1366 9425.7136

X5 -288.82324 153.24599

Find the lower limit of the change in the mean response for a unit change in X3 with 95% confidence coefficient, assuming that the other predictors remain unchanged over the period.

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