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Question

Statistics for Economics Question on Correlation and regression

Suppose that the regression model is Yi=β0+β1X1i+β2X2i+μi,i=1,2,...,nY_i =\beta_0 + \beta_1 X_{1i} + \beta_2 X_{2i} + \mu_i, i = 1, 2,..., n. Which of the following null hypotheses could be tested using the F-test?

A

β1/β2=0\beta_1 /\beta_2 =0

B

β0=0\beta_0 =0

C

β1β2=0\beta_1\beta_2 =0

D

β1=β2=0\beta_1 =\beta_2 =0

Answer

β0=0\beta_0 =0

Explanation

Solution

The correct option is (B): β0=0\beta_0 =0 and (D): β1=β2=0\beta_1 =\beta_2 =0