Marcia Baker is the new manager of the materials storeroom for Keller Manufacturing. Marcia has been asked to estimate future monthly purchase costs for part​ #696, used in two of Keller​'s products. Marciahas purchase cost and quantity data for the past 9 months as​ follows: Month     Cost of Purchase    Quantity Purchased January       $12,410.                       2,730 parts February.      12,880                        2,880 March           17,505                         4,148 April              15,869                         3,761 May               13,170                         2,912 June              13,867                         3,332 July               15,237                          3,644 August          10,061                          2,287 September     14,960                        3,582   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 3,330 parts November 3,730 December 3,060 The computer in Marcia​'s office is​ down, and Marcia has been asked to immediately provide an equation to estimate the future purchase cost for part​ #696. Marcia grabs a calculator and uses the​ high-low method to estimate a cost equation. What equation does she​ get?   Using the equation from requirement​ 1, calculate the future expected purchase costs for each of the last 3 months of the year.   After a few hours Marcia​'s computer is fixed. Marcia 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 Marcia obtains is as​ follows:        y​ = $2,082 ​+ 3.66X   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?   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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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Marcia Baker is the new manager of the materials storeroom for Keller Manufacturing. Marcia has been asked to estimate future monthly purchase costs for part​ #696, used in two of Keller​'s products. Marciahas purchase cost and quantity data for the past 9 months as​ follows:
Month     Cost of Purchase    Quantity Purchased
January       $12,410.                       2,730 parts
February.      12,880                        2,880
March           17,505                         4,148
April              15,869                         3,761
May               13,170                         2,912
June              13,867                         3,332
July               15,237                          3,644
August          10,061                          2,287
September     14,960                        3,582
 
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
3,330 parts
November
3,730
December
3,060
The computer in
Marcia​'s
office is​ down, and
Marcia
has been asked to immediately provide an equation to estimate the future purchase cost for part​ #696.
Marcia
grabs a calculator and uses the​ high-low method to estimate a cost equation. What equation does she​ get?
 
Using the equation from requirement​ 1, calculate the future expected purchase costs for each of the last 3 months of the year.
 
After a few hours
Marcia​'s
computer is fixed.
Marcia
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
Marcia
obtains is as​ follows:
 
     y​ =
$2,082
​+
3.66X
 
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?
 
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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