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In a multiple regression the following sample regression equation is obtained. Y

ID: 3160555 • Letter: I

Question

In a multiple regression the following sample regression equation is obtained. Y-gat = 148 + 11.7 x_1 + 2.4 x_2 Predict y if x_1 equals 21 and x_2 equals 44. (Round your answer to 1 decimal places.) Intrepert the slope coefficient of x_1. As x_1 increases by one unit, y is predicted to decrease by 2.4 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to decrease by 11.7 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to decrease by 2.4 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to decrease by 11.7 units, holding x_2 constant.

Explanation / Answer

A) y = 148 +11.7x1+2.4x2

now x 1 = 21 and x2 = 44

therefore y = 148 +11.7*21 +2.4*44

= 499.3

b) as the cefficient of x1 is positive therefore if we increase x1 by 1 unit the y will increase by 11.7 unit holding x2 constant

hence option B IS CORRECT

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