Choose the correct answer below. O A. The coefficient of determination is 40.96%. Therefore, 40.96% of the variation in weight can be explained by the regression line. C B. The coefficient of determination is 64%. Therefore, 64% of the variation in weight can be explained by the regression line. ● C. The coefficient of determination is 40.96%. Therefore, 40.96% of the variation in height can be explained by the regression line. O D. The coefficient of determination is 64%. Therefore, 64% of the variation in height can be explained by the regression line.

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 15PPS
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I need help on problem 4 for selecting the correct answer. Thank you. 

4. If the correlation between height and weight of a large group of people is 0.64, find the coefficient of determination (as a percent) and explain what it means. Assume
that height is the predictor and weight is the response, and assume that the association between height and weight is linear.
Choose the correct answer below.
A. The coefficient of determination is 40.96%. Therefore, 40.96% of the variation in weight can be explained by the regression line.
B. The coefficient of determination is 64%. Therefore, 64% of the variation in weight can be explained by the regression line.
C. The coefficient of determination is 40.96%. Therefore, 40.96% of the variation in height can be explained by the regression line.
D. The coefficient of determination is 64%. Therefore, 64% of the variation in height can be explained by the regression line.
Transcribed Image Text:4. If the correlation between height and weight of a large group of people is 0.64, find the coefficient of determination (as a percent) and explain what it means. Assume that height is the predictor and weight is the response, and assume that the association between height and weight is linear. Choose the correct answer below. A. The coefficient of determination is 40.96%. Therefore, 40.96% of the variation in weight can be explained by the regression line. B. The coefficient of determination is 64%. Therefore, 64% of the variation in weight can be explained by the regression line. C. The coefficient of determination is 40.96%. Therefore, 40.96% of the variation in height can be explained by the regression line. D. The coefficient of determination is 64%. Therefore, 64% of the variation in height can be explained by the regression line.
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