In simple regression analysis,if the correlation coefficient is a positive value,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 have either a positive or a negative valuE.

Question

Quizplus · Accepted Answer

If the correlation coefficient is positive, it means that there is a positive linear relationship between the two variables being analyzed. Therefore, the slope of the regression line will also be positive, indicating that as the independent variable increases, the dependent variable will also increase. The Y intercept could be either positive, negative, or zero, depending on the specific data points and the slope of the regression line. The coefficient of determination, which measures how well the regression line fits the data, will always be a positive value between zero and one. Additionally, the standard error of the estimate measures the variability of the data around the regression line and will always be a positive value.

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