The following STATA output is about a study of the determinants of the budget share for transport expenditure. Source | SS df MS Number of obs = XXXXX -------------+---------------------------------- XXXXXXXXXXXXXXXX= XXXXX Model | .493183451 4 .123295863 Prob > F = XXXXXX Residual | 16.3455225 1,514 .01079625 R-squared = XXXXXX -------------+---------------------------------- Adj R-squared = XXXXXX Total | 16.838706 1,518 .011092692 Root MSE = .10391 ------------------------------------------------------------------------------ wtrans | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- totexp | .0004487 .0000696 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX age | .0001196 .0003535 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX nk | -.0118502 .0054774 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX income | -.0001288 .0000494 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX _cons | .1203982 .0157343 7.65 0.000 .0895348 .1512615 ------------------------------------------------------------------------------ where = total household expenditure (rounded to the nearest 10) = weight of transport expenditure to total expenditure = age of household head = number of children = total net household income (rounded to the nearest 10) a) Formulate the equation of the model in the standard form. (3 marks) b) Interpret the estimate of the total expenditure variable. (2 marks) c) Determine if there are any variables you might exclude from the equation. Justify your answer. (5 marks) d) What proportion of variation in the weight of transport expenditure is explained by this model? (2 marks) e) Predict the weight of expenditure that will be spent on transportation, for a two-children household when the total expenditure is 1,500, age of household head is 41 and total net household income is 5,000. (2 marks) f) Estimate the change in the weight of expenditure that will be spent on transportation if the income increases by 200 after one year keeping other factors constant. (2 marks) g) Test the hypothesis that none of the abovementioned variables affect the weight of transport expenditure. (4 marks)