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Historical demand for a product is as follows. Use this data for all questions below. Mar Jan 65.8 Cases (1000s) Feb 72.4 Jul Apr 77.8 68.6 May 83.3 Jun 91.5 Aug 91.6 Sep 88.2 80.1 1) Calculate a forecast for October based on a simple three-month moving average % Grade (20%) 2) Calculate a forecast for October based on a weighted moving average. Use a weight factor of 50% for the most recent month, 30% two months ago, and 20% three months ago (20%) 3) This time, calculate a forecast for October based on exponential smoothing with a=0.3 and a September forecast = 83.60. (20%) (20%) 4) Develop a simple linear regression model based on historical demand data between January – September. • Use Excel to develop a scatter plot of the historical data, with X-axis for time and y-axis for demand. • Display the linear trend line and linear regression equation on your chart. identify the slope and y-intercept. • Copy your Excel chart with the regression equation and paste it into the file you are submitting in Canvas. (Only submit one file in Canvas for all problems.) 5) Use your linear regression model from problem #4 to calculate demand forecasts for the next three months (October, November, and December) Show your calculation steps.