Please help with the corrected answers in details: The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 2 135 3 120 4 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 What type of pattern exists in the data?  The data appear to follow a trend pattern. The data appear to follow a horizontal pattern.     The data appear to follow a cyclical pattern.The data appear to follow a seasonal pattern. (b) Use ? = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast  Ft 1 105   2 135   3 120   4 105   5 90   6 120   7 145   8 140   9 100   10 80   11 100   12 110   (c) Use a smoothing constant of ? = 0.4 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast  Ft 1 105   2 135   3 120   4 105   5 90   6 120   7 145   8 140   9 100   10 80   11 100   12 110   Does a smoothing constant of 0.2 or 0.4 appear to provide more accurate forecasts based on MSE? Choose one?   1) smoothing constant of 0.2 is better than a smoothing constant of 0.4 since the MSE is greater for 0.2 than for 0.4. 2) smoothing constant of 0.4 is better than a smoothing constant of 0.2 since the MSE is greater for 0.4 than for 0.2.     3) smoothing constant of 0.4 is better than a smoothing constant of 0.2 since the MSE is less for 0.4 than for 0.2. 4) smoothing constant of 0.2 is better than a smoothing constant of 0.4 since the MSE is less for 0.2 than for 0.4.

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Please help with the corrected answers in details:

The following time series shows the sales of a particular product over the past 12 months.
Month Sales
1 105
2 135
3 120
4 105
5 90
6 120
7 145
8 140
9 100
10 80
11 100
12 110

What type of pattern exists in the data? 

The data appear to follow a trend pattern.
The data appear to follow a horizontal pattern.    
The data appear to follow a cyclical pattern.The data appear to follow a seasonal pattern.

(b) Use ? = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to two decimal places.)
Month t Time Series Value
Yt
Forecast 
Ft
1 105  
2 135  
3 120  
4 105  
5 90  
6 120  
7 145  
8 140  
9 100  
10 80  
11 100  
12 110  

(c) Use a smoothing constant of ? = 0.4 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.)

Month t Time Series Value
Yt
Forecast 
Ft
1 105  
2 135  
3 120  
4 105  
5 90  
6 120  
7 145  
8 140  
9 100  
10 80  
11 100  
12 110  
Does a smoothing constant of 0.2 or 0.4 appear to provide more accurate forecasts based on MSE? Choose one?
 
1) smoothing constant of 0.2 is better than a smoothing constant of 0.4 since the MSE is greater for 0.2 than for 0.4. 2) smoothing constant of 0.4 is better than a smoothing constant of 0.2 since the MSE is greater for 0.4 than for 0.2.    
3) smoothing constant of 0.4 is better than a smoothing constant of 0.2 since the MSE is less for 0.4 than for 0.2.
4) smoothing constant of 0.2 is better than a smoothing constant of 0.4 since the MSE is less for 0.2 than for 0.4.
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