Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r=0.194 What is the value of the coefficient of determination? r2= ___________ (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation= _________ % (Round to two decimal places as needed.)

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r=0.194 What is the value of the coefficient of determination? r2= ___ (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation= _ % (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 6PPS

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Question

Question #12

r=0.194

What is the value of the coefficient of determination?

r²= ___________

(Round to four decimal places as needed.)

What is the percentage of the total variation that can be explained by the linear relationship between the two variables?

Explained variation= _________ %

(Round to two decimal places as needed.)

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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