For a given set of data and a regression equation,the greater the R-square:
A) the greater the t-value.
B) the lower the t-value.
C) the greater the adjusted R-square.
D) the lower the adjusted R-square.

Question

Quizplus · Accepted Answer

The adjusted R-square takes into account the number of independent variables in the regression model, and it is a more accurate measure of the goodness of fit than the R-square. A higher R-square indicates a better fit of the data to the regression equation, and this, in turn, leads to a higher adjusted R-square value. The t-value is not directly related to the R-square or the adjusted R-square, so option A and B can be eliminated. D is incorrect because a higher R-square leads to a higher adjusted R-square, not a lower one.

For a Given Set of Data and a Regression Equation,the