If there is a positive correlation between X and Y,then the regression equation Y = bX + a will have _____. A)b 0 B)b 0 D)a

Question

If there is a positive correlation between X and Y,then the regression equation Y = bX + a will have _____. A)b > 0 B)b < 0 C)a > 0 D)a < 0

Quizplus · Accepted Answer

Since there is a positive correlation between X and Y, the slope of the regression line (b) will be positive as well. Thus, b > 0. The intercept (a) can be positive, negative, or zero, depending on the specific data set analyzed. Therefore, choice C and D cannot be ruled out, but the best choice is A as it must be true in all cases of a positive correlation between X and Y.

If There Is a Positive Correlation Between X and Y,then