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.

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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 ($)
400
3,500
450
4,500
550
4,900
600
5,400
700
5,900
750
6,500
a. Compute b1 and bo (to 1 decimal).
b1
bo
Complete the estimated regression equation (to 1 decimal).
%3D
b. What is the variable cost per unit produced (to 1 decimal)?
c. Compute the coefficient of determination (to 3 decimals). Note: report r2
between 0 and 1.
12 =
Transcribed Image Text:An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 3,500 450 4,500 550 4,900 600 5,400 700 5,900 750 6,500 a. Compute b1 and bo (to 1 decimal). b1 bo Complete the estimated regression equation (to 1 decimal). %3D b. What is the variable cost per unit produced (to 1 decimal)? c. Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1. 12 =
c. Compute the coefficient of determination (to 3 decimals). Note: report r
between 0 and 1.
2 =
What percentage of the variation in total cost can be explained by the
production volume (to 1 decimal)?
%
d. The company's production schedule shows 500 units must be produced next
month. What is the estimated total cost for this operation (to the nearest
whole number)?
$
Transcribed Image Text:c. Compute the coefficient of determination (to 3 decimals). Note: report r between 0 and 1. 2 = What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? % d. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to the nearest whole number)? $
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