# Question

Mandy Knox is the new manager of the materials storeroom for Timken Manufacturing. Mandy has been asked to estimate future monthly purchase costs for part # 696, used in two of Timken’s products. Mandy has purchase cost and quantity data for the past 9 months as follows:

Estimated monthly purchases for this part based on expected demand of the two products for the rest of the year are as follows:

Month Purchase Quantity Expected

October ............ 3,360 parts

November .......... 3,720

December .......... 3,000

Required

1. The computer in Mandy’s office is down, and Mandy has been asked to immediately provide an equation to estimate the future purchase cost for part # 696. Mandy grabs a calculator and uses the high-low method to estimate a cost equation. What equation does she get?

2. Using the equation from requirement 1, calculate the future expected purchase costs for each of the last 3 months of the year.

3. After a few hours Mandy’s computer is fixed. Mandy uses the first 9 months of data and regression analysis to estimate the relationship between the quantity purchased and purchase costs of part # 696. The regression line Mandy obtains is as follows:

y = $ 2,135.5 + 3.67X

Evaluate the regression line using the criteria of economic plausibility, goodness of fit, and significance of the independent variable. Compare the regression equation to the equation based on the high-low method. Which is a better fit? Why?

4. Use the regression results to calculate the expected purchase costs for October, November, and December. Compare the expected purchase costs to the expected purchase costs calculated using the high-low method in requirement 2. Comment on your results.

Estimated monthly purchases for this part based on expected demand of the two products for the rest of the year are as follows:

Month Purchase Quantity Expected

October ............ 3,360 parts

November .......... 3,720

December .......... 3,000

Required

1. The computer in Mandy’s office is down, and Mandy has been asked to immediately provide an equation to estimate the future purchase cost for part # 696. Mandy grabs a calculator and uses the high-low method to estimate a cost equation. What equation does she get?

2. Using the equation from requirement 1, calculate the future expected purchase costs for each of the last 3 months of the year.

3. After a few hours Mandy’s computer is fixed. Mandy uses the first 9 months of data and regression analysis to estimate the relationship between the quantity purchased and purchase costs of part # 696. The regression line Mandy obtains is as follows:

y = $ 2,135.5 + 3.67X

Evaluate the regression line using the criteria of economic plausibility, goodness of fit, and significance of the independent variable. Compare the regression equation to the equation based on the high-low method. Which is a better fit? Why?

4. Use the regression results to calculate the expected purchase costs for October, November, and December. Compare the expected purchase costs to the expected purchase costs calculated using the high-low method in requirement 2. Comment on your results.

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