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 = 154 + 11.9x_1 + 2.5x_2. a Predict y if x_1 equals 19 and x_2 equals 38. (Round your answer to 1 decimal place.) y-hat b Interpret the slope coefficient of As x_1 increases by one unit, y is predicted to increase by 2.5 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to increase by 11.9 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to decrease by 2.5 units, holding x_2 constant. As x_1 increases by one unit, y is predicted to decrease by 11.9 units, holding x_2 constant.

Explanation / Answer

a)

As

y^ = 154 + 11.9x1 + 2.5x2

Then if x1 = 19, x2 = 38,

y^ = 154 + 11.9*19 + 2.5*38

= 475.1 [ANSWER]

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b)

As slope of x1 = 11.9, then as it is positive,

OPTION B: As x1 increases by 1 unit, y is predicted to increase by 11.9 units, by holding x2 constant. [ANSWER, B]

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