Production Volume (units) Total Cost ($) 400 4,000 450 5,000 550 5,400 600 5,900 700 6,400 750 7,000 a. Compute b, and bo (to 1 decimal). bo Complete the estimated regression equation (to 1 decimal). b. What is the variable cost per unit produced (to 1 decimal)? c. Compute the coefficient of determination (to 3 decimals). Note: report ? between 0 and 1. What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? % d. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this operation (to the nearest whole number)?
Production Volume (units) Total Cost ($) 400 4,000 450 5,000 550 5,400 600 5,900 700 6,400 750 7,000 a. Compute b, and bo (to 1 decimal). bo Complete the estimated regression equation (to 1 decimal). b. What is the variable cost per unit produced (to 1 decimal)? c. Compute the coefficient of determination (to 3 decimals). Note: report ? between 0 and 1. 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)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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) Total Cost ($)
400
4,000
450
5,000
550
5,400
600
5,900
700
6,400
750
7,000
a. Compute b, and bo (to 1 decimal).
b1
bo
Complete the estimated regression equation (to 1 decimal).
b. What is the variable cost per unit produced (to 1 decimal)?
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)?
24
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