Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.506. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.256. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O B. The coefficient of determination is 0.744. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O C. The coefficient of determination is 0.744. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors. O D. The coefficient of determination is 0.256. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors.

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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Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly
selected men. The linear correlation coefficient r is 0.506. Find the value of the coefficient of determination.
What practical information does the coefficient of determination provide?
Choose the correct answer below.
O A. The coefficient of determination is 0.256. 25.6% of the variation is explained by the linear correlation,
and 74.4% is explained by other factors.
O B.
The coefficient of determination is 0.744. 25.6% of the variation is explained by the linear correlation,
and 74.4% is explained by other factors.
O C.
The coefficient of determination is 0.744. 74.4% of the variation is explained by the linear correlation,
and 25.6% is explained by other factors.
O D. The coefficient of determination is 0.256. 74.4% of the variation is explained by the linear correlation,
and 25.6% is explained by other factors.
Transcribed Image Text:Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.506. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.256. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O B. The coefficient of determination is 0.744. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O C. The coefficient of determination is 0.744. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors. O D. The coefficient of determination is 0.256. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors.
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