The table below shows data collected on the length and weight of sand sharks. Length 60 62 64 66 68 70 72 Weight 105 114 124 131 139 149 158 A linear regression analysis is run on this data and results in a linear regression equation of y = 4.36x - 156.14 where x is the length of the shark in inches and y is the weight of the sharks in pounds. The correlation coefficient (r) is calculated as 0.9991. Calculate the r-squared value and interpret it in context. A. 99.95% of the variation in a sand shark's weight can be explained by its length. B. 99.82% of sharks fit our model. C. 99.82% of the variation in a sand shark's weight can be explained by its length. D. 99.95% of sharks fit our model.

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 23PFA
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The table below shows data collected on the length and weight of sand sharks.

Length 60 62 64 66 68 70 72
Weight 105 114 124 131 139 149 158

A linear regression analysis is run on this data and results in a linear regression equation of y = 4.36x - 156.14 where x is the length of the shark in inches and y is the weight of the sharks in pounds. The correlation coefficient (r) is calculated as 0.9991.

Calculate the r-squared value and interpret it in context.

 

A. 99.95% of the variation in a sand shark's weight can be explained by its length.

B. 99.82% of sharks fit our model.

C. 99.82% of the variation in a sand shark's weight can be explained by its length.

D. 99.95% of sharks fit our model. 

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