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) Compute by and bo (to 1 decimal). b₁ bo 400 450 550 600 700 750 a. Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. Do not round intermediate calculations. Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations. ŷ = + Total Cost ($) 4,000 5,000 5,400 5,900 6,400 7,000 b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations $ c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report 2 between 0 and 1. p² = What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations % d. The company's production schedule shows 500 units must be produced next month. Predict the total cost for this operation (to the nearest whole number). Do not round intermediate calculations $
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) Compute by and bo (to 1 decimal). b₁ bo 400 450 550 600 700 750 a. Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. Do not round intermediate calculations. Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations. ŷ = + Total Cost ($) 4,000 5,000 5,400 5,900 6,400 7,000 b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations $ c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report 2 between 0 and 1. p² = What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations % d. The company's production schedule shows 500 units must be produced next month. Predict the total cost for this operation (to the nearest whole number). Do not round intermediate calculations $
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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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)
400
450
550
Compute bi and bo (to 1 decimal). b₁
bo
600
700
750
a. Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. Do not round intermediate calculations.
Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations
ŷ =
+
I
Total Cost ($)
4,000
5,000
5,400
5,900
6,400
7,000
b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations
$
c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report ² between 0 and 1.
p² =
What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations
%
d. The company's production schedule shows 500 units must be produced next month. Predict the total cost for this operation (to the nearest whole number). Do not round intermediate calculations
$
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