Which of the following is(are) TRUE if the coefficient of determination between the response and the predictor variables is 0.81 based on a random sample of size n.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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Which of the following is(are) TRUE if the coefficient of determination
between the response and the predictor variables is 0.81 based on a
random sample of size n.
O Neither Anor B
O A. This means that 19% of the total variation in the response variable remains
unexplained by the simple linear regression model that uses the given predictor
variable.
O Both A and B
B. The Pearson's sample correlation coefficient is +0.9.
Transcribed Image Text:Which of the following is(are) TRUE if the coefficient of determination between the response and the predictor variables is 0.81 based on a random sample of size n. O Neither Anor B O A. This means that 19% of the total variation in the response variable remains unexplained by the simple linear regression model that uses the given predictor variable. O Both A and B B. The Pearson's sample correlation coefficient is +0.9.
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