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

Question

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

y-hat = 153 + 12.8x1 + 2.7x2

a Predict y if x1 equals 32 and x2 equals 49

y-hat

b

Interpret the slope coefficient of x1

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

y-hat = 153 + 12.8x1 + 2.7x2

a Predict y if x1 equals 32 and x2 equals 49

y-hat

b

Interpret the slope coefficient of x1

As x1 increases by one unit, y is predicted to increase by 12.8 units, holding x2 constant. As x1 increases by one unit, y is predicted to increase by 2.7 units, holding x2 constant. As x1 increases by one unit, y is predicted to decrease by 12.8 units, holding x2 constant. As x1 increases by one unit, y is predicted to decrease by 2.7 units, holding x2 constant.

Explanation / Answer

a) y-hat =  153 + 12.8*32 + 2.7*49 = 694.9

b)

As x1 increases by one unit, y is predicted to increase by 12.8 units, holding x2 constant.

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