(LR-5) Find and state the value of r^2, the coefficient of determination, and r,

Question

(LR-5) Find and state the value of r^2, the coefficient of determination, and r, positive or negative ? Why? Is a line a good curve to fit to this data? Why or why not? Is linear relationship very strong, moderately, strong,weak, or nonexisting?

Group Member #1 (Activity Sheet 1) Sample Regression Equation: y--4,443,755.85+244,35132x ý predicted salary of 2009-2010 top paid NFL quarterback in $ x-pass completion % for top paid NFL quarterback in 2009-10 It is important that students use ý instead of y for the response variable and define it to be the predicted salary of a 2009-2010 top paid NFL quarterback in S. Correlation r: r=0.3940 Coefficient of Determination : -0.1553 Scatterplot with Least-Squares Regression Line: 225000000 20000000 15000000 r, 10000000 N5000000 0 10 20 30 40 50 60 70 80 tion % for 30 Highest Paid NFL Quarterbacks in 2009-2010 It is important that students label the two axes, clearly indicating the explanatory variable on the horizontal axis and the response variable on the vertical axis.

Explanation / Answer

Given R^2 = 0.1553

and r - 0.3940

So, correlation is positive because as we increase x the value of y also increases.

No, it is not a good line as correlation is not very strong.

R^2 value of 15.53% is very low and thus correlation is weak

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