Question

Question 4 3 pts Consider the estimated multiple regression model using OLS, with the standard errors in parentheses below each estimated coefficient. There are 1,576 observations in the sample: Y = 10 + 2X2i - 5Xzi (3) (1.5) (2) Suppose that the sample mean of Y is 30. For the 18th observation (i=18) in the sample, the value of X2 is 50, the value of X3 is 16, and the value of Y is 20. The residual associated with the 18th observation is: 010 O 20 0-10 0-20 Question 5 3 pts The best description of the sampling distribution of a sample statistic is: o the distribution of the values of the statistic for all individuals in the population. o the distribution of the values of the statistic for all individuals in the sample. o the distribution of the values of the statistic for all possible samples, of the same size, selected from the population. the distribution of the values of the statistic for some samples, of the same size, selected from the population. Question 6 3 pts Assume that all of the CNLRM assumptions hold. Suppose that you estimate a multiple regression model using OLS. There are 32 observations (n=32) and 9 explanatory variables, including the constant (k=9). If you want to test whether one of the estimated coefficients is statistically different from zero at the 1-percent level of significance, the critical value associated with this test is: O 2.807 o 2.500 O 1.960 2.576

Answer 1

Ques 4. The answer is -10. Residual = Observed Y value - Predicted Y value

Observed Y value = 20

Predicted Y value = 10 + 2*50 - 5*16

= 30

Residual = 20 - 30 = -10

Ques 5. The correct answer is the distribution of the value of statistic, for all possible sample, of the same size, selected from the population.

Ques 6. The answer is 2.807