Question

In a simple linear regression, one observes ?̂ 1= −4.33 and ?^2 = 0.38. What is ???(?,?)

Answer 1

Corr(Y,X) = -0.616441 [ANSWER]

Explanation:

Let r = Corr(Y,X)

Now, we know the following relation between the coefficient of determination (R^2) and the square of correlation coefficient:

Now, whether r is positive or negative is decided by the sign of , in simple linear regression r and have the same sign. Here since, is negative, thus we can conclude that r is negative, and that:

For any queries, feel free to comment and ask.

If the solution was helpful to you, don't forget to upvote it by clicking on the 'thumbs up' button.