An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume Total Cost (units) ($) 400 450 550 600 700 750 4,100 5,000 5,300 5,900 6,300 6,900 (a) Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. (Round your numerical values to two decimal places.) ŷ = (b) What is the variable cost (in dollars) per unit produced? $ 7.6 X (c) Compute the coefficient of determination. (Round your answer to three decimal places.) What percentage of the variation in total cost can be explained by production volume? (Round your answer to one decimal place.) % (d) The company's production schedule shows 650 units must be produced next month. Predict the total cost (in dollars) for this operation. (Round your answer to the nearest cent.) $

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.4: Multiple Regression Models
Problem 17P: The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He...
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An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to
develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider
the following sample of production volumes and total cost data for a manufacturing operation.
Production Volume Total Cost
(units)
($)
400
450
550
600
700
750
4,100
5,000
5,300
5,900
6,300
6,900
(a) Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. (Round your numerical
values to two decimal places.)
(b) What is the variable cost (in dollars) per unit produced?
7.6
X
(c) Compute the coefficient of determination. (Round your answer to three decimal places.)
What percentage of the variation in total cost can be explained by production volume? (Round your answer to one decimal place.)
%
(d) The company's production schedule shows 650 units must be produced next month. Predict the total cost (in dollars) for this operation. (Round your answer to
the nearest cent.)
Transcribed Image Text:An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume Total Cost (units) ($) 400 450 550 600 700 750 4,100 5,000 5,300 5,900 6,300 6,900 (a) Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. (Round your numerical values to two decimal places.) (b) What is the variable cost (in dollars) per unit produced? 7.6 X (c) Compute the coefficient of determination. (Round your answer to three decimal places.) What percentage of the variation in total cost can be explained by production volume? (Round your answer to one decimal place.) % (d) The company's production schedule shows 650 units must be produced next month. Predict the total cost (in dollars) for this operation. (Round your answer to the nearest cent.)
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