Question

For a certain data set the regression equation is y = 29 - 5x. The correlation coefficient between y and x in this data set _______.

Answer 1

The correlation coefficient between y and x in the data set is negative.

Using the regression equation given ;

• y = 29 - 5x

Comparing the equation with the general form of the slope-intercept relationship;

• y = bx + c ; where b = slope and c = intercept

Slope, b = -5

Using the slope value , we can see that the graph has a negative slope and as such would have a negative relationship .

A graph with a negative slope will also have a negative correlation coefficient.

Hence, the correlation coefficient is negative.