In a simple linear regression analysis,if the correlation coefficient is positive,then:
A)The y intercept must also be a positive value.
B)The coefficient of determination can be either positive or negative,depending on the value of the slope.
C)The least squares regression equation could either have a positive or a negative slope.
D)The slope of the regression line must also be positive.
E)The standard error of estimate can either have a positive or a negative value.

Question

Quizplus · Accepted Answer

If the correlation coefficient is positive, it means that there is a positive relationship between the two variables being analyzed. This relationship is reflected in the slope of the regression line, which will also be positive. Therefore, choice D is the best answer. The other choices are either incorrect or not necessarily linked to a positive correlation coefficient.

In a Simple Linear Regression Analysis,if the Correlation Coefficient Is