Calculate R-squared,--the coefficient of determination-given that the linear correlation coefficient, r, is 0.817. What does this tell you about the explained variation and the unexplained variation of the data about the regression line? O a. The coefficient of determination (R2) = 0.667. That is, 66.7% of the variation is explained and 33.3% of the variation is unexplained O b. The coefficient of determination (R2) = 0.667. That is, 66.7% of the variation is unexplained and 33.3% of the variation is explained c. Not enough information is given.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Using the 68-95-99.7 Empirical Rule-of-Thumb, answer the following questions. No partial credit will be given for using any other
method.
A given exam has a normal distribution with a mean of 70 and a standard deviation of 10. A sample of size 25 is selected. What percentage of
the time would you expect the mean of this sample size to fall between 64 and 76?
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Question 1 of 42
Transcribed Image Text:Using the 68-95-99.7 Empirical Rule-of-Thumb, answer the following questions. No partial credit will be given for using any other method. A given exam has a normal distribution with a mean of 70 and a standard deviation of 10. A sample of size 25 is selected. What percentage of the time would you expect the mean of this sample size to fall between 64 and 76? Moving to another question will save this response. Question 1 of 42
Calculate R-squared,--the coefficient of determination-given that the linear correlation coefficient, r, is 0.817. What does this tell you about the
explained variation and the unexplained variation of the data about the regression line?
a. The coefficient of determination (R2) = 0.667. That is, 66.7% of the variation is explained and 33.3% of the variation is unexplained.
O b. The coefficient of determination (R2) = 0.667. That is, 66.7% of the variation is unexplained and 33.3% of the variation is explained
O c. Not enough information is given.
Transcribed Image Text:Calculate R-squared,--the coefficient of determination-given that the linear correlation coefficient, r, is 0.817. What does this tell you about the explained variation and the unexplained variation of the data about the regression line? a. The coefficient of determination (R2) = 0.667. That is, 66.7% of the variation is explained and 33.3% of the variation is unexplained. O b. The coefficient of determination (R2) = 0.667. That is, 66.7% of the variation is unexplained and 33.3% of the variation is explained O c. Not enough information is given.
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