Consider the following time series data. (a) Conatruct a time series plot. What type of pattern exists in the data? The data appear to fallow a horizontal pattern. The data appear to fallow a cyclical pottern. The dsta appear to fallow a trend pattern. The dsta appear to fallow a sesconal pattern. (b) Develop the three-wook maving average for this time series. (Found your answers to two decimal places.) Compute MSE. (Found your answer to two decimal placese) MGE - What is the forecast for werk 7 ? (c) Use it - 0.2 to compute the exponential smoothing values for the time series. Compute MSE. (Found your answer to two decimal plocese) MGE - What is the forecast for week 7 ? (Found your answer to two docimal places) (d) Compare the three-week maving average forecast with the exponential smocthing forecast using is - 0.2. Which appears to pravide the better forecast based on MSE? Explain. The expanentisl smoathing using a0.2 provides a better forecast since it has a larger MSE than the three-woek maving average appraach. The exponentisl smoathing using a - 0.2 prowides a better forecast since it has a smaller MSE than the three-week mowing awerage approsch. The three-woek maving average pravides a better forecast since it has a smoller MSE than the smoathing approsch using a - D.2. The three-voek maving average pravides a better forecsat since it has a larger MSE than the smocthing apprasch using it -0.2 . (e) Use trial and erar to find a value of the exponential smocthing coefficient that results in a smaller MSE than what you calculated for a - 0.2. a