When the slope of the regression line equals -3.00, then
A) the Y intercept equals -3.00
B) there is a 3 equal-unit gain in Y for each unit gain in X
C) there is a 3 equal-unit loss in Y for each unit gain in X
D) there is a one-third, equal-unit loss in Y for each unit gain in X

Question

Quizplus · Accepted Answer

A negative slope indicates a negative correlation between X and Y, meaning as X increases, Y decreases. The absolute value of the slope (in this case, 3.00) represents the amount of change in Y for each unit change in X. Therefore, a slope of -3.00 means that for each unit increase in X, there is a 3-unit decrease in Y, resulting in a 3 equal-unit loss in Y for each unit gain in X.

When the Slope of the Regression Line Equals -3