Question

In a multiple regression, the following sample regression equation is obtained: yˆ = 161 + 12.4x1...

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

yˆ = 161 + 12.4x1 + 2.6x2.


a. Predict y if x1 equals 20 and x2 equals 42. (Round your answer to 1 decimal place.)

yˆ = _________


b. Interpret the slope coefficient of x1.

As x1 increases by one unit, y is predicted to decrease by 2.6 units, holding x2 constant.
As x1 increases by one unit, y is predicted to decrease by 12.4 units, holding x2 constant.
As x1 increases by one unit, y is predicted to increase by 2.6 units, holding x2 constant.
As x1 increases by one unit, y is predicted to increase by 12.4 units, holding x2 constant.

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Answer #1

Answer:

Given that:

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

yˆ = 161 + 12.4x1 + 2.6x2.

a) Predict y if x1 equals 20 and x2 equals 42.

Given x1 = 20 and x2= 42
Y-hat= 161 + 12.4x1 + 2.6x2
= 161 + 12.4(20) + 2.6(42) = 518.2

Answer: 518.2

b) Interpret the slope coefficient of x1.

Correct Answer: option As x1 increase by one unit, y is predicted to increase by 12.4 units, holding x2 constant

since Slope of X1 = 12.4 which is positive.

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