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Excel Online Structured Activity: Regression Equations and the Coefficient of De

ID: 3311392 • Letter: E

Question

Excel Online Structured Activity: Regression Equations and the Coefficient of Determination 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 In the Microsoft Excel Online file below you will find a sample of production volumes and total cost data for a manufacturing operation. Conduct a regression analysis to explore the relationship between total cost and production volume and then answer the questions that follow a. Compute bi and bo (to 1 decimal) bo 1246.66 Complete the estimated regression equation (to 1 decimal). 76 25%)

Explanation / Answer

SUMMARY OUTPUT

Regression Statistics

Multiple R 0.979127101

R Square 0.959

Adjusted R Square 0.948362349

Standard Error 241.5229458

Observations 6

ANOVA

df SS MS F Significance F

Regression 1 5415000 5415000 92.82857143 0.00064897

Residual 4 233333.3333 58333.33333

Total 5 5648333.333

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%

Intercept 2046.7 464.1599341 4.409399684 0.01160603 757.9520895 3335.381244

X Variable 7.6 0.788810638 9.634758504 0.00064897 5.409910566 9.790089434

b1 =7.6

bo = 2046.7

Estimated Regression Equation

y^ = 2046.7 + 7.6 * x

d) The companys production schedule shows 500 units must be produced next month then estimated total cost for this opration is, 5847

Total Cost($ ) = 2046.7 + 7.6 * 500

Total Cost($) = 5847