You have access to a UK university dataset of 1632 students who recently completed their studies. For each student, the dataset reports information on the following variables: You are interested in studying whether household income is an important determinant of students' performance. To this end, you run the following regression 1 on a smaller subsample of 178 people (out of total 1632): | overallaverage; = do + a, HouseholdIncome, + &; Table 1: output of regression 1 Overall Average Coefficient Standard Error t value P > It] Household Income -9.00e-06 6.72e-06 -1.34 0.182 cons 4.287 0.095 45.12 0.000 No.of Obs F (1,176) Prob > F R-squared Adj R-Squared Root MSE 178 0.92 0.182 0.0104 -0.0010 0.1351 a) Write down the estimated form of your regression. Carefully interpret the estimated coefficients and comment on their significance. Are they in line with your expectations? Explain why