Question

An important appleason ce regresson analysis an accounting is n th¢ estimation of cost by Colectrg data an volume and cost and using the least squares method to develep an estimated regression equ ation relating volume and cost, an 8ccountant can estmete the cost associated with a perticular manutacturing velume, Consider the folowing smple of prodution volumes and total cest data for a manufecturing opersion Production Volume (units) Total Cost ($) 5,900 6,300 6.800 7.300 a. Compute bs and bo (to 1 decimal) 11.0 o 165.5 3 Complece the esimated regressien equanien (to 1 0ecima 9-165.5 311.03 b. What is the vanable cost per unt produced (to 1 decimal) c. compute the coemoent of determination (to 3 decimals) Note: resort2 etween o and 1 What percentage of the ขอเ¡ation in total cost can be e-plained by theproduction volume (to t deomap d. The companys producton schedule shows soo urts must be produced next month. What the estimated total cost for ths operation Cto the nearest ฒhole number)?
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Answer #1

(x-x) 30625.0000 15625.0000 625.0000 625.0000 15625.0000 30625.0000 93750.0000 (x-x)(y-y) 282916.6667 77083.3333 5416.6667 7083.3333 97916.6667 242083.3333 712500.0000 S.No (y-y) 4900 5900 6300 6800 7300 2613611.1111 380277.7778 46944.4444 80277.7778 613611.1111 1913611.1111 3333 SSY 2 550 4 600 750 Total 5648333. 39100 6516.6667 Mean 575.0000 sample size here 6516.6667 575.0000 from above 93750.0000 712500.0000 slope- 7.6000 intercept- 2146.6667 hence line equation: 2146.667 7.600 x)a) ( please check data on Y column as picture is not clear and revert if any value is different)

from above:

b1 =7.6

bo=2146.7  

b)variable cost =7.6

c)

r2 =0.959

percent of variation that can be explained =95.9%

d)

estimated total cost =2146.7+7.6*500=5947

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