a. Explanation Given info: The linear equation of the plane is: y = 6 − 7 x 1 + 10 x 2 . Justification: The y–intercept : The y –intercept in a multiple linear regression equation is the value taken by the response variable y , when all the predictor variables take value 0. The y –intercept gives the value of y at the point where the plane intersects the y –axis. In a linear equation of the form, y = b 0 + b 1 x 1 + b 2 x 2 , the y –intercept is b 0 . Partial slope : The partial slope corresponding to a predictor variable in a multiple linear regression equation is a measure of the steepness of the plane along the direction of that predictor variable. The partial slope is the change in the response variable y , when the particular predictor variable increases by one unit, keeping all other predictor variables fixed b. To determine Determine whether the plane slopes upward, slopes downward or is horizontal in the x 1 axis direction, when x 2 is fixed at a specified value.

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter A.1, Problem 15E

To determine

Find the y–intercept and the partial slopes.

To determine

Determine whether the plane slopes upward, slopes downward or is horizontal in the x1 axis direction, when x2 is fixed at a specified value.

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Chapter A.1, Problem 14E

Chapter A.1, Problem 16E

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Find the y –intercept and the partial slopes.

Solution Summary: The author explains the y-intercept and partial slopes in a multiple linear regression equation.