a. Explanation Given info: The linear equation of the plane is: y = 9 . 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 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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In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter A.1, Problem 21E

To determine

To find: The y-intercept and the partial slopes.

To 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 20E

Chapter A.1, Problem 22E

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The y -intercept and the partial slopes.

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