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Alexander Enterprises manufactures plastic parts for the automotive industry. Its sales (in thousands of dollars) for 2012Q1 through 2016Q4 are as follows: Period Sales Mar-12

Alexander Enterprises manufactures plastic parts for the automotive industry. Its sales (in thousands of dollars) for 2012Q1 through 2016Q4 are as follows:

Period Sales
Mar-12 3,816.5
Jun-12 3,916.7
Sep-12 3,978.8
Dec-12 4,046.6
Mar-13 4,119.1
Jun-13 4,169.4
Sep-13 4,193.0
Dec-13 4,216.4
Mar-14 4,238.1
Jun-14 4,270.5
Sep-14 4,321.8
Dec-14 4,349.5
Mar-15 4,406.4
Jun-15 4,394.6
Sep-15 4,422.3
Dec-15 4,430.8
Mar-16 4,463.9
Jun-16 4,517.8
Sep-16 4,563.6
Dec-16 4,633.0
Mar-17
Jun-17
Sep-17
Dec-17
  1. Begin by preparing a time series plot of the data set. Does it appear from this plot that a linear trend model will be appropriate? Explain.
  2. Use a bivariate linear regression trend model to estimate this trend equation: SALES = a + b(TIME) Is the sign of b what you would expect? Is b significantly different from zero? What is the coefficient of determination for this model? Explain your answers.
  3. Based on this model, make a trend forecast of sales (SALESFT) for the four quarters of 2017.
  4. The actual sales (SALESA) for the four quarters are provided in the table.
2017, Q1 4667.1
2017, Q2 4710.3
2017, Q3 4738.7
2017, Q4 4789.0

Calculate the MAPE for this forecast model in the historical period (2012, Q1-2016, Q4) as well as for the forecast horizon (2017, Q1-2017, Q4). Which of these measures accuracy and which measures fit?

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