When testing the null hypothesis that two regression slopes are zero simultaneously,then you cannot reject the null hypothesis at the 5% level,if the ellipse contains the point
A)(-1.96,1.96).
B) .
C)(0,0).
D)(1.962,1.962).

Question

When testing the null hypothesis that two regression slopes are zero simultaneously,then you cannot reject the null hypothesis at the 5% level,if the ellipse contains the point
A)(-1.96,1.96). 
B) . 
C)(0,0). 
D)(1.962,1.962).

Quizplus · Accepted Answer

The point (0,0) represents the null hypothesis that both regression slopes are zero (i.e. no linear relationship between the two variables). If the ellipse contains this point, it means that the data is consistent with the null hypothesis and we cannot reject it at the 5% level. Choosing any other point outside the ellipse would indicate that the data is not consistent with the null hypothesis and we would reject it.

When Testing the Null Hypothesis That Two Regression Slopes Are