Consider the following time series data. week 1 2 3 4 5 6value 18 13 16 11 17 14a. construct a time series plot. what type of pattern exists in the data? b. develop a three-week moving average for this time series. compute mse and a forecast for week 7.c. use a 5 0.2 to compute the exponential smoothing values for the time series. compute mse and a forecast for week 7.d. compare the three-week moving average forecast with the exponential smoothingforecast using a 5 0.2. which appears to provide the better forecast based on mse? explain. e. use trial and error to find a value of the exponential smoothing coefficient a thatresults in a smaller mse than what you calculated for a 5 0.2.