Researchers analyze the relationship between years of work experience (xx) and annual income (yy, in thousands of dollars) for 2020 employees. The correlation coefficient is r=0.68 r = 0.68 . What is the value of r2 $$r^2$$ , and what does it mean in this context?

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Coefficient of Determination

12. Regression

Coefficient of Determination: Videos & Practice Problems

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Problem 34Multiple Choice

Researchers analyze the relationship between years of work experience ( $x$ ) and annual income ( $y$ , in thousands of dollars) for $20$ employees. The correlation coefficient is $r equals 0.68$ . What is the value of $r^{2}$ , and what does it mean in this context?

$0.83$ ; $83 percent sign$ of the variance in income is explained by years of experience

$0.68$ ; $68 percent sign$ of the variance in income is explained by years of experience

$0.46$ ; $46 percent sign$ of the variance in income is explained by years of experience

$0.46$ ; $46 percent sign$ of the variance in years of experience is explained by income

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Coefficient of Determination: Videos & Practice Problems

Researchers analyze the relationship between years of work experience (xx) and annual income (yy, in thousands of dollars) for 2020 employees. The correlation coefficient is r=0.68 r = 0.68 . What is the value of r2 r^2 , and what does it mean in this context?

Researchers analyze the relationship between years of work experience ( $x$ ) and annual income ( $y$ , in thousands of dollars) for $20$ employees. The correlation coefficient is $r equals 0.68$ . What is the value of $r^{2}$ , and what does it mean in this context?