Please ONLY answer part E and round it to three decimal points. Everything else is correct. Thanks!

Week 1 2 3 4 5 6 Value 18 13 16 12 18 15 a. Choose the correct time series plot. 0 (ii) 20 Time Series Value Time Series Value 18 16 wim W 12 10 8 6 4 2 2 Week(t) Week(t) 2. 3 4 5 6 2 3 5 6 (iv) Time Series Value 20 Time Series Value 20 18 18 16 16 14 14 12 12 10 10 8 6. 4 2 2 Week(1) Week(1) 2. 3 4 5 6 2 3 5 6 Plot (1) What type of pattern exists in the data? Horizontal Pattern b. Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. Time Series Week Forecast Value 1 18 2 13 3 16 4 12 15.67 5 18 13.67 6 15 15.33 MSE: 10.78 The forecast for week 7: 15.00 c. Use a -0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. Time Series Week Forecast Value 1 18 2 13 18.00 3 16 17.00 4 4 12 16.80 5 18 15.84 6 15 16.27 MSE: 11.06 The forecast for week 7: 16.02 d. Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE? Three-week moving average Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. e. Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2. Find a value of a for the smallest MSE. Round your answer to three decimal places. a = 10.75