Answer true or false to the following statements and explain your answers. a. If the F-test for the utility of a multiple linear regression rejects the null hypothesis, then all the population...

Answer true or false to the following statements and explain your answers.

a. If the  F-test for the utility of a multiple linear regression rejects the null hypothesis, then all the population regression coefficients are different from 0.

b. If the F-test for the utility of a multiple linear regression does not reject the null hypothesis, we can conclude that there is no relationship whatsoever between the response variable and the predictor variables.

c. If the value of the F-statistic for testing the utility of the multiple linear regression is close to 0, the value of the coefficient of multiple determination will be close to 0.