Consider the following time series data Week 1 2 3 4 5 6 Value 18 13 16 11 17 14 a. Construct a time series plot. What type of pattern exists in the data?b. Develop the three-week moving average forecasts for this time series. compute MSE and a forecast for week 7.c. Use α = .2 to compute the exponential smoothing forecasts for the time series.Compute MSE and a forecast for week 7.d. Compare the three-week moving average approach with the exponentialsmoothing approach using α = .2. Which appears to provide more accurate  forecasts based on MSE? explain.e. Use a smoothing constant of α = .4 to compute the exponential smoothing forecasts. does a smoothing constant of .2 or .4 appear to provide more accurate forecasts based on MSE? explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Consider the following time series data

Week 1 2 3 4 5 6
Value 18 13 16 11 17 14

a. Construct a time series plot. What type of pattern exists in the data?
b. Develop the three-week moving average forecasts for this time series. 
compute MSE and a forecast for week 7.
c. Use α = .2 to compute the exponential smoothing forecasts for the time 
series.Compute MSE and a forecast for week 7.
d. Compare the three-week moving average approach with the exponential
smoothing approach using α = .2. Which appears to provide more 
accurate  forecasts based on MSE? explain.
e. Use a smoothing constant of α = .4 to compute the exponential 
smoothing forecasts. does a smoothing constant of .2 or .4 appear to provide more accurate forecasts based on MSE? explain.

 

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