Answer true or false to each of the following statements and explain your answers.a. A qualitative predictor variable, whose possible values are represented by three indicator variables, has three possible values.b. In the regression equation y = ß0 + ß1x1 + ß2x2 relating y to a quantitative predictor variable x1 and an indicator variable x2, the regression equations when x2 = 0 and x2 = 1 have different slopes, but the same y-intercepts.c. The method of least squares can be used to obtain estimates of the regression coefficients when there are indicator variables in the regression equation.d. For indicator variables x1 and x2, it is not possible to simultaneously have x1 = 1 and x2 = 1.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...
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Answer true or false to each of the following statements and explain your answers.
a. A qualitative predictor variable, whose possible values are represented by three indicator variables, has three possible values.
b. In the regression equation y = ß0 + ß1x1 + ß2x2 relating y to a quantitative predictor variable x1 and an indicator variable x2, the regression equations when x2 = 0 and x2 = 1 have different slopes, but the same y-intercepts.
c. The method of least squares can be used to obtain estimates of the regression coefficients when there are indicator variables in the regression equation.
d. For indicator variables x1 and x2, it is not possible to simultaneously have x1 = 1 and x2 = 1.

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