Let a regression equation with two factors be Ỹ = -2X1 + 3X2 + 6. The slope for X1 can be interpreted as the following: one unit increase in X1 is expected to produce two units decrease on the predicted value. In multiple regression with two predictors, R? can be regarded as the correlation between Y and Ÿ. For a two-factor experiment, the smaller the differences between the sample means, the more likely it is that at least one of the F-ratios will be significant.

Let a regression equation with two factors be Ỹ = -2X1 + 3X2 + 6. The slope for X1 can be interpreted as the following: one unit increase in X1 is expected to produce two units decrease on the predicted value. In multiple regression with two predictors, R? can be regarded as the correlation between Y and Ÿ. For a two-factor experiment, the smaller the differences between the sample means, the more likely it is that at least one of the F-ratios will be significant.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

True or false? If the statement is false, use one or two sentences to justify your answer.

Let a regression equation with two factors be Ỹ = -2X1 + 3X2 + 6. The slope for X1 can be interpreted as the
following: one unit increase in X1 is expected to produce two units decrease on the predicted value.
In multiple regression with two predictors, R? can be regarded as the correlation between Y and Ÿ.
For a two-factor experiment, the smaller the differences between the sample means, the more likely it is that
at least one of the F-ratios will be significant.

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