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

Question

In a multiple regression, the following sample regression equation is obtained: y-hat = 144 + 11.8x1 + 2.5x2. a. Predict y if x1 equals 23 and x2 equals 33. (Round your answer to 1 decimal place.) b. Interpret the slope coefficient of x1. a) As x1 increases by one unit, y is predicted to decrease by 11.8 units, holding x2 constant. b) As x1 increases by one unit, y is predicted to increase by 2.5 units, holding x2 constant. c) As x1 increases by one unit, y is predicted to decrease by 2.5 units, holding x2 constant. d) As x1 increases by one unit, y is predicted to increase by 11.8 units, holding x2 constant.

Explanation / Answer

In a multiple regression, the following sample regression equation is obtained: y-hat = 144 + 11.8x1 + 2.5x2. a. Predict y if x1 equals 23 and x2 equals 33

As

y-hat = 144 + 11.8x1 + 2.5x2

Then

y-hat = 144 + 11.8*23 + 2.5*33 = 497.9 [ANSWER]

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b. Interpret the slope coefficient of x1.

As the slope of x1 = 11.8, then by holding x2 constant, it is [as 11.8 is positive]

d) As x1 increases by one unit, y is predicted to increase by 11.8 units, holding x2 constant. [ANSWER, D]

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