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Answer the following on regression and correlation.
If the covariance of x and y is 58.08, the variance of x is 121 and the standard deviation of y is…
If the covariance of $x$ and $y$ is $58.08$, the variance of $x$ is $121$ and the standard deviation of $y$ is $8$ then, find the regression coefficient of $x$ and $y$.
Answer
Answer
Official answer keyRegression coefficient of x on y: 0.9075
Correlation coefficient r: 0.66
$r = \frac{58.08}{11 \times 8} = 0.66$
Regression coefficient of $x$ and $y$ ($b_{xy}$) $= 0.66 \times \frac{11}{8}$
$\therefore b_{xy} = 0.9075$