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The dining out expenses of 50 individuals were recorded in a study which was repeated weekly for 40 consecutive weeks. The individuals are characterized by two variables: gender (male/female) and household situation (single-person household/multiple-person household). For each week, the total expenses of each group were determined. The study stopped at week 40. Subsequently, a researcher predicted that in week 41 all individuals will spend a total of 2,922.00 SGD for dinning out, where female individuals will spend a total of 1,441.00 SGD and male a total of 1,459.00 SGD for the same purpose. From all the female individuals, those living in a single person household will spend a total of 527.00 SGD and those living in multiple person households will spend 155.00 SGD. And from all the male individuals, those living in a single person household will spend 409.00 SGD altogether while those living in a multiple person household will spend a total of 556.00 SGD for dining out. (a) Construct a diagram that shows the hierarchy levels of the forecasted dining out expenses being broken down by the gender first and then by the household type. (3 marks) (b) Construct another diagram with the same hierarchy levels as in (a) with the forecasted values after applying the top-down reconciliation method. Please note that the proportion between the different groups of the same variable resulting from the original forecast must be kept on the same level