inal answer:
The answer is false. It is possible to have a high correlation coefficient and a low regression coefficient.
Step-by-step explanation:
The answer is b. false.
A correlation coefficient measures the degree of linear association between two variables, ranging from -1 to 1. A high correlation coefficient indicates a strong linear relationship between the variables, while a low correlation coefficient indicates a weak linear relationship or no linear relationship at all. On the other hand, the regression coefficient (also known as the slope) measures the change in the average value of the dependent variable for a one-unit change in the independent variable. Therefore, it is possible to have a high correlation coefficient and a low regression coefficient, as the correlation coefficient represents the strength of the relationship, while the regression coefficient represents the magnitude of the change in the dependent variable for a given change in the independent variable.