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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 500 4900 600 5700 700 6400 750 7200 800 8100 The data on the production volume a and total cost y for particular manufacturing operation were used to develop the estimated regression equation ŷ = 36.84 + 9.62a a. The company's production schedule shows that 650 units must be produced next month. Predict the total cost for next month. y* = (to 2 decimals) b. Develop a 95% prediction interval for the total cost for next month. (to 2 decimals) t-value (to 3 decimals) Spred (to 2 decimals)

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 500 4900 600 5700 700 6400 750 7200 800 8100 The data on the production volume a and total cost y for particular manufacturing operation were used to develop the estimated regression equation ŷ = 36.84 + 9.62a a. The company's production schedule shows that 650 units must be produced next month. Predict the total cost for next month. y* = (to 2 decimals) b. Develop a 95% prediction interval for the total cost for next month. (to 2 decimals) t-value (to 3 decimals) Spred (to 2 decimals)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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13. 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.

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 ($) 400 4000 500 4900 600 5700 700 6400 750 7200 800 8100 The data on the production volume x and total cost y for particular manufacturing operation were used to develop the estimated regression equation ŷ = 36.84 + 9.62x a. The company's production schedule shows that 650 units must be produced next month. Predict the total cost for next month. (to 2 decimals) b. Develop a 95% prediction interval for the total cost for next month. (to 2 decimals) t-value (to 3 decimals) Spred (to 2 decimals)
Transcribed Image Text:An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 4000 500 4900 600 5700 700 6400 750 7200 800 8100 The data on the production volume x and total cost y for particular manufacturing operation were used to develop the estimated regression equation ŷ = 36.84 + 9.62x a. The company's production schedule shows that 650 units must be produced next month. Predict the total cost for next month. (to 2 decimals) b. Develop a 95% prediction interval for the total cost for next month. (to 2 decimals) t-value (to 3 decimals) Spred (to 2 decimals)
The data on the production volume x and total cost y for particular manufacturing operation were used to develop the estimated regression equation ŷ = 36.84 + 9.62x a. The company's production schedule shows that 650 units must be produced next month. Predict the total cost for next month. (to 2 decimals) b. Develop a 95% prediction interval for the total cost for next month. (to 2 decimals) t-value (to 3 decimals) Spred (to 2 decimals) Prediction Interval for an individual Value next month ) (to whole number) c. If an accounting cost report at the end of next month shows that the actual production cost during the month was $6,000, should managers be concerned about incurring such a high total cost for the month? Discuss. Based on one month, $6,000 Select your answer v outside the upper limit of the prediction interval. A sequence of five to seven months with consistently high costs should cause concern.
Transcribed Image Text:The data on the production volume x and total cost y for particular manufacturing operation were used to develop the estimated regression equation ŷ = 36.84 + 9.62x a. The company's production schedule shows that 650 units must be produced next month. Predict the total cost for next month. (to 2 decimals) b. Develop a 95% prediction interval for the total cost for next month. (to 2 decimals) t-value (to 3 decimals) Spred (to 2 decimals) Prediction Interval for an individual Value next month ) (to whole number) c. If an accounting cost report at the end of next month shows that the actual production cost during the month was $6,000, should managers be concerned about incurring such a high total cost for the month? Discuss. Based on one month, $6,000 Select your answer v outside the upper limit of the prediction interval. A sequence of five to seven months with consistently high costs should cause concern.
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