Cost Estimation. 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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Cost Estimation. 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 4000  
450 5000  
550 5400  
600 5900  
700 6400  
750 7000  

Regression equation y=1246.667 + 7.6x

Variable cost per unit produced = 7.6

Compute  the  coefficient  of  determination.  = 0.9587

Question 1 - What  percentage  of  the  variation  in  total  cost  can  be explained by production volume?
Question 2 - The company’s production schedule shows 500 units must be produced next month. Predict the total cost for this operation.

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