While testing hypotheses for regression coefficients, the t-test for the slope is expressed as:
A) $ t=\frac{b_{1}-0}{\text { standard error }} $

B) $ t=\frac{b_{1}-0}{b_{0}+b_{1}} $

C) $ t=\frac{b_{1}}{b_{0}-b_{1}} $

D) $ t=\frac{(\text { standard error })^{2}}{b_{0}-b_{1}} $

Question

While testing hypotheses for regression coefficients, the t-test for the slope is expressed as: 
A) $ t=\frac{b_{1}-0}{\text { standard error }} $

B) $ t=\frac{b_{1}-0}{b_{0}+b_{1}} $

C) $ t=\frac{b_{1}}{b_{0}-b_{1}} $

D) $ t=\frac{(\text { standard error })^{2}}{b_{0}-b_{1}} $

Quizplus · Accepted Answer

The t-test for the slope of a regression line is typically calculated using the formula: 
$ t=\frac{b_{1}-0}{\text { standard error }} $
where b1 is the estimated slope coefficient, 0 is the null hypothesis value (usually 0), and standard error refers to the estimated standard error of the slope coefficient. This formula allows us to determine whether the estimated slope coefficient is significantly different from zero, which would indicate that there is a linear relationship between the predictor variable and the outcome variable. Therefore, choice A is the correct formula for the t-test for the slope of a regression line.

While Testing Hypotheses for Regression Coefficients, the T-Test for the Slope