Production volume 400 450 550 600 700 750 Total cost 4000 5000 5400 5900 6400 7000 An important application of regression analysis in accounting is in the estimation of cost....

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Statistics

Production volume

400

450

550

600

700

750

Total cost

4000

5000

5400

5900

6400

7000

An important application of regression analysis in accountingis in the estimation of cost. By collecting data on volume and costand using the least squares method to develop an estimatedregression equation relating volume and cost, an accountant canestimate the cost associated with a particular manufacturingvolume. Consider the following sample of production volumes andtotal cost data for a manufacturing operation.

Excel File: data12-21.xls
  1. Compute b1 and b0 (to 2decimals if necessary).
    b1
    b0

    Complete the estimated regression equation (to 2 decimals ifnecessary).
    ŷ =  +  x
  2. What is the variable cost per unit produced (to 1decimal)?
  3. Compute the coefficient of determination (to 4 decimals). Note:report r2 between 0 and 1.
    r2 =

    What percentage of the variation in total cost can be explained bythe production volume (to 2 decimals)?
    %
  4. The company's production schedule shows 500 units must beproduced next month. What is the estimated total cost for thisoperation (to 2 decimals)?
    $

Answer & Explanation Solved by verified expert
4.3 Ratings (591 Votes)
AnswerHere let y is total cost and x is production volumeFirst enter the given data in excelProductionVolumexTotal costy400400045050005505400600590070064007507000To use the regression analysis in excel use the followingpathData Data Analysis upper right corner selectRegression select range both x and y variables Give outputrange OKThe output as belowSUMMARY    See Answer
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