that could be used to predict the total cost for a given production volume. Do not round intermediat Compute bi and bo (to 1 decimal). Do not round intermediate calculations. b₁ bo Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations. 7.6 M I ŷ 1247.0 + b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations. $ 7.60 c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report r² between 0 and 1. 72 .959 What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations. % 95.9 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 numbe intermediate calculations.

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6th Edition
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Author:Amos Gilat
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Raay TOIR
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.
A
Production Volume (units)
Total Cost ($)
400
5,000
450
6,000
550
6,400
600
6,900
7,400
700
750
8,000
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.
Compute bi and bo (to 1 decimal). Do not round intermediate calculations.
b₁
*
bo
Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations.
y=1247.0
*+ 7.6
x
b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations.
$
7.60
c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report r² between 0 and 1.
7²
.959
What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations.
DD
DII
F9
F8
DOD
000
F7
F6
F10
I
F11
0x
+
C
F12
Transcribed Image Text:Ex Raay TOIR 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. A Production Volume (units) Total Cost ($) 400 5,000 450 6,000 550 6,400 600 6,900 7,400 700 750 8,000 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. Compute bi and bo (to 1 decimal). Do not round intermediate calculations. b₁ * bo Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations. y=1247.0 *+ 7.6 x b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations. $ 7.60 c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report r² between 0 and 1. 7² .959 What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations. DD DII F9 F8 DOD 000 F7 F6 F10 I F11 0x + C F12
6,400
600
6,900
700
7,400
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.
8,000
Compute bi and bo (to 1 decimal). Do not round intermediate calculations.
b₁
bo
Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations.
ŷ 1247.0
=
+
7.6
x
b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations.
$ 7.60
c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report r² between 0 and 1.
7² = .959
What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations.
95.9 %
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)? Do not round
intermediate calculations.
$
Hide Feedback
DII
JA
F9
A
FB
DOD
F7
000
F6
F4
80
F5
*
(
F10
a
F11
Transcribed Image Text:6,400 600 6,900 700 7,400 750 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. 8,000 Compute bi and bo (to 1 decimal). Do not round intermediate calculations. b₁ bo Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations. ŷ 1247.0 = + 7.6 x b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations. $ 7.60 c. Compute the coefficient of determination (to 3 decimals). Do not round intermediate calculations. Note: report r² between 0 and 1. 7² = .959 What percentage of the variation in total cost can be explained by the production volume (to 1 decimal)? Do not round intermediate calculations. 95.9 % 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)? Do not round intermediate calculations. $ Hide Feedback DII JA F9 A FB DOD F7 000 F6 F4 80 F5 * ( F10 a F11
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