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 (units) Total Cost ($) 400 4000 450 5000 550 5400 5900 600 700 6400 7000 750 a. Compute bị and bo (to 2 decimals if necessary). bị bo Complete the estimated regression equation (to 2 decimals if necessary). х b. What is the variable cost per unit produced (to 1 decimal)? c. Compute the coefficient of determination (to 4 decimals). Note: report r between 0 and 1. = What percentage of the variation in total cost can be explained by the production volume (to 2 decimals)? d. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to 2 decimals)?

MATLAB: An Introduction with Applications
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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 (units)
Total Cost ($)
400
4000
450
5000
550
5400
5900
600
700
6400
7000
750
a. Compute bị and bo (to 2 decimals if necessary).
bị
bo
Complete the estimated regression equation (to 2 decimals if necessary).
х
b. What is the variable cost per unit produced (to 1 decimal)?
c. Compute the coefficient of determination (to 4 decimals). Note: report r between 0 and 1.
=
What percentage of the variation in total cost can be explained by the production volume (to 2 decimals)?
d. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to 2 decimals)?
Transcribed Image Text:An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 4000 450 5000 550 5400 5900 600 700 6400 7000 750 a. Compute bị and bo (to 2 decimals if necessary). bị bo Complete the estimated regression equation (to 2 decimals if necessary). х b. What is the variable cost per unit produced (to 1 decimal)? c. Compute the coefficient of determination (to 4 decimals). Note: report r between 0 and 1. = What percentage of the variation in total cost can be explained by the production volume (to 2 decimals)? d. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to 2 decimals)?
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