Testing whether the slope of the population regression line could be zero is equivalent to testing whether the:
A)sample coefficient of correlation could be zero
B)standard error of estimate could be zero
C)population coefficient of correlation could be zero
D)sum of squares for error could be zero

Question

Quizplus · Accepted Answer

The slope of the population regression line is represented by the population coefficient of correlation (rho), which measures the degree and direction of the linear relationship between the dependent and independent variables in the population. If rho were to be zero, this would indicate that there is no linear association between the variables, and the slope of the regression line would be flat or horizontal (i.e., zero). Therefore, testing whether the slope of the population regression line could be zero is equivalent to testing whether the population coefficient of correlation could be zero. The other options (sample coefficient of correlation, standard error of estimate, sum of squares for error) may be related to different aspects of regression analysis, but they do not directly pertain to the hypothesis test of the slope coefficient being zero.

Testing Whether the Slope of the Population Regression Line Could