Using the following data, determine the equation of the regression model. How ma

Question

Using the following data, determine the equation of the regression model. How many independent variables are there? Comment on the meaning of these regression coefficients.

(Round your answers to 5 decimal places.)

The regression equation is: y=

+ (

)x1 + (

)x2 + (

)x3+ (

)x4

There

. If x2, x3, and x4 are held constant, the predicted y will

by

for every unit increase in x1. Predicted y will

by

for every unit increase in x2 as x1, x3, and x4 are held constant. Predicted y will

by

for every unit increase in x3 holding x1, x2, and x4 constant. If x4 is increased by one unit, the predicted y will

by

if x1, x2, and x3are held constant.

Predictor Coefficient Constant x1 x2 x3 x4 117 . 62 - . 176 6 . 02 . 00026 . 0041

Explanation / Answer

Answer to the equation is as follows:

The regression equation is Y^ = 117.62 - .176X1 + 6.02X2 + .00026X3 + .0041X4

- decrease by .176 for every unit increase in x1

- increase by 6.02 for every unit increase in x2

- increase by .00026 for every unit increase in x3

- increase by .0041 for every unit increase in x4

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