Let Y = β0 + β1x + E be the simple linear regression model. What is the precise interpretation of the coefficient of determination (R2)? Select one: a. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X. b. It is the proportion of the variation in the response variable Y that is explained by the variation in the explanatory variable X. c. It is the proportion of the variation in the explanatory variable Y. d. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.
Let Y = β0 + β1x + E be the simple linear regression model. What is the precise interpretation of the coefficient of determination (R2)? Select one: a. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X. b. It is the proportion of the variation in the response variable Y that is explained by the variation in the explanatory variable X. c. It is the proportion of the variation in the explanatory variable Y. d. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.
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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Let Y = β0 + β1x + E be the simple linear regression model. What is the precise interpretation of the coefficient of determination (R2)?
Select one:
a.
It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.
b.
It is the proportion of the variation in the response variable Y that is explained by the variation in the explanatory variable X.
c.
It is the proportion of the variation in the explanatory variable Y.
d.
It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.
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