Final answer:
If the coefficient of determination is a positive value, then the regression equation could have either a positive or a negative slope.
Step-by-step explanation:
If the coefficient of determination is a positive value, then the regression equation could have either a positive or a negative slope.
The coefficient of determination, denoted as r², is equal to the square of the correlation coefficient, r. It represents the percentage of variation in the dependent variable, y, that can be explained by variation in the independent variable, x, using the regression line. When r² is positive, it indicates a positive relationship between x and y, but it does not specify the direction of the slope.
Therefore, if the coefficient of determination is positive, the regression equation could have either a positive or a negative slope.