Question 3 The demand for printers at Courts store in Bukit Timah is indicated below: Table 2: Demand for Printers Week Number of Printers 1 65 2 70 3 54 4 69 5 59 6 70 7 67 Linear regression and exponential smoothing methods were applied to forecast the future demands for the printers. The summary output of the regression analysis is shown in Table 3. SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.138018544 0.019049118 Adjusted R Square -0.177141058 Table 3: Regression Table Standard Error Observations ANOVA 6.67136739 of SS MS F Significance F Regression 1 4.321428571 4.321429 0.097035 0.767917728 Residual 5 222-5357143 44.50714 Total 6 226.8571429 Coefficients Standard Error Stat Intercept X Variable 1 63.28571429 0.392857143 Lower 35% 5.638334535 11.22419 48.79191395 1.26076993 0.311601 0.767918 -2.848055138 P-value 9.8E-05 Upper 95% 77.77951462 3.633709424 Lower 95.0% Upper 95.0% 48.79191395 -2.848055138 77.77951462 3.633769424 (a) (b) Determine the demand forecast from week 2 to week 8 using exponential smoothing and linear regression. The alpha value and the forecast value of the first week are assumed to be is 0.2 and 65 units, respectively. Which forecasting method is better based on the Mean Squared Error (MSE)? Examine whether the linear regression model used for this problem is a good fit or not. (c) On average, there are 20 units of printers in stock per month, and each unit is sold at $80. Generally, the store can sell 15 units per week. What is the inventory turnover per month? The manager of the store thinks that if the inventory turnover is larger than 2, it is good. Do you agree? Provide your reasons.
Question 3 The demand for printers at Courts store in Bukit Timah is indicated below: Table 2: Demand for Printers Week Number of Printers 1 65 2 70 3 54 4 69 5 59 6 70 7 67 Linear regression and exponential smoothing methods were applied to forecast the future demands for the printers. The summary output of the regression analysis is shown in Table 3. SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.138018544 0.019049118 Adjusted R Square -0.177141058 Table 3: Regression Table Standard Error Observations ANOVA 6.67136739 of SS MS F Significance F Regression 1 4.321428571 4.321429 0.097035 0.767917728 Residual 5 222-5357143 44.50714 Total 6 226.8571429 Coefficients Standard Error Stat Intercept X Variable 1 63.28571429 0.392857143 Lower 35% 5.638334535 11.22419 48.79191395 1.26076993 0.311601 0.767918 -2.848055138 P-value 9.8E-05 Upper 95% 77.77951462 3.633709424 Lower 95.0% Upper 95.0% 48.79191395 -2.848055138 77.77951462 3.633769424 (a) (b) Determine the demand forecast from week 2 to week 8 using exponential smoothing and linear regression. The alpha value and the forecast value of the first week are assumed to be is 0.2 and 65 units, respectively. Which forecasting method is better based on the Mean Squared Error (MSE)? Examine whether the linear regression model used for this problem is a good fit or not. (c) On average, there are 20 units of printers in stock per month, and each unit is sold at $80. Generally, the store can sell 15 units per week. What is the inventory turnover per month? The manager of the store thinks that if the inventory turnover is larger than 2, it is good. Do you agree? Provide your reasons.
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter8: Time Series Analysis And_forecasting
Section: Chapter Questions
Problem 6P: Consider the following time series data:
Construct a time series plot. What type of pattern exists...
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