If the slope of the linear regression line of the form $y^{\prime}=a+b x$ is positive then we can be sure that
A) correlation between $\mathrm{x}$ and $\mathrm{y}$ will be positive.
B) correlation between $\mathrm{x}$ and $\mathrm{y}$ will be positive
C) correlation between $\mathrm{x}$ and $\mathrm{y}$ will be negative.
D) correlation between $\mathrm{x}$ and $\mathrm{y}$ will be negative
E) both A and B, since the correlations refer to the same thing

Question

Quizplus · Accepted Answer

The slope $b$ in the linear regression equation $y^{\prime}=a+bx$ is directly related to the correlation between $x$ and $y$. A positive slope indicates a positive correlation, meaning as $x$ increases, $y$ also increases. Choices A and B are essentially the same statement, both correctly indicating a positive correlation, hence E is the correct answer.

If the Slope of the Linear Regression Line of the Form