In a multiple regression, the following sample regression equation is obtained:

Question

In a multiple regression, the following sample regression equation is obtained: y^= 159 + 11.6x_1 + 2.4x_2. a. Predict y if x_1 equals 31 and x_2 equals 31. (Round your answer to 1 decimal place.) b. Interpret 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 increase by 2.4 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to increase by 11.6 units, holding x_2 constant. As x_1 increases by one unit y is predicted to decrease by 11.6 units holding x_2 constant.

Explanation / Answer

a.
regression equation is
y = 159 + 11.6x1 + 2.4 x2
when x1= 31, x2 = 31
y = 159 + 11.6(31) + 2.4 (31)
y = 593

b.
As x1, increases by one unit y is predicted to increase by 11 6 units, holding x2 constant

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