Problem 1. The following table represents the monthly number of patients visiting the Purdue clinic in the past ten months. Month (m) #patients (D 1 2 3 4 5 6 7 8 9 10 4 12 18 22 34 33 36 40 42 46 m' Suppose that you decide to fit your forecasting models with data points {D, D. D}, and evaluate the 1' 2'--- models with the two data points {D9, D 10}. For problems (a) ~ (c), use the suggested method-model 9' combinations in forecasting demand values in months 9 and 10. (a). Linear regression method - constant model (b). Linear regression method - linear model (c). Linear regression method - exponential model (d) Evaluate and compare the forecasts in (a) ~ (c) using the MSE criterion. (e) Evaluate and compare the forecasts in (a) ~ (c) using the MAD criterion.