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Consider an estimated linear regression model with a response Y and 5 predictors X1, X2, X3, X4, X5 based on home sales in the city.

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Consider an estimated linear regression model with a response Y and 5 predictors X1, X2, X3, X4, X5 based on home sales in the city. For a random sample of 150 homes sold recently, the following estimates are obtained using Excel. Coefficients Standard Error Intercept 22812.1 17425.79 X1 92.53652 8.954747 X2 -17049.7 6214.732 X3 15240.8 7923.223 X4 6437.342 6713.779 X5 37.4287 133.2816 Find the upper limit of the change in the mean response for a unit change in X2 with 99% confidence coefficient, assuming that the other predictors remain unchanged over the period

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