Please explain your answer

(1) Which one of the following does not define an independent variable:

Group of answer choices

a. regressor

b. control variable

c. response variable

d. explanatory variable

(2) True or False? The sample covariance between xiandis zero.

(3) True or False? The average of OLS residuals across the sample is zero.

In the regression equation:, which of the following can be correctly measured?

a. percentage change in wage by percentage change in education

b. percentage change in wage by number of years in education

c. change in wage by the percentage change in number of years in education

d. none of the above

In the estimated equation of the ordinary least squares model uses all the following assumptions except: r\" E(u) = O r\" Ely) = 0 '' E(u|x) = O \fWhich of the following applies to the sample equivalent of a population regression function? '0 iii = 504'5131' O )h' ' a: = 50 +511; :3 "i = 50 +51% '0 x" = 5% ' (0 + 55%) \fThe estimated value of the intercept from OLS is: Oy- yi Oy - Bix Oy - Box Ovi - BIXConsider gure 1 below 3?, - fitted value x. x, x Figure 1 Which specic combination of x and y has a zero value of the residual? Consider gure 1 below 17' = fitted value x, x, x Figure 1 Which specic combination of x and y has a negative value of the residual?