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Correlation and Regression

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Suppose r = 0. What is the slope (provide your answer both as a calculation and a description of what the slope of the regression line would look like)? What is the y-intercept (provide your answer as a calculation)? Why does your answer for the y-intercept make sense?

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Solution Summary

The solution contains the determination of the slope and y-intercept of a regression line if the correlation coefficient is 0.

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Let y = b0 + b1 x be the regression line, where b0 is the intercept and b1 is the slope.

The slope b1 can be calculated as the covariance of X and Y divided by the variance of X.
If the correlation = 0, then the ...

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