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Sample correlation between x and y equal 0.886. If a fit a linear regression line y=a+bx,...

Sample correlation between x and y equal 0.886. If a fit a linear regression line y=a+bx, how much variance in y is unexplained by x?

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Answer #1

Given:

r = 0.886

Coefficient of determination (r^2): 0.886^2 = 0.785

Therefore, 78.5% of variation of dependent variable y is explained by independent variable X.

And remaining 100-78.5= 21.5% of variation is unexplained by x.

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