The below data on the production volume x and total cost y (in dollars) for a particular manufacturing operation were used to develop the estimated regression equation ý = 1,401.33 + 7.36x. Production Volume Total Cost (units) ($) 400 4,000 450 5,100 550 5,400 600 6,000 700 6,300 750 7,000 (a) The company's production schedule shows that 500 units must be produced next month. What is the point estimate of the total cost (in dollars) for next month? (Round your answer to the nearest cent.) (b) Develop a 99% prediction interval for the total cost (in dollars) for next month. (Round your answers to the nearest cent.) to $ (c) If an accounting cost report at the end of next month shows that the actual production cost during the month was $6,500, should managers be concerned about incurring such a high total cost for the month? Discuss. Since $6,500 is --Select-- V the prediction interval, managers should --Select--- v concerned about incurring such a high total cost for one month.

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You may need to use the appropriate appendix table or technology to answer this question.
The below data on the production volume x and total cost y (in dollars) for a particular manufacturing operation were used to develop the estimated regression equation ŷ = 1,401.33 + 7.36x.
Production Volume
Total Cost
(units)
($)
400
4,000
450
5,100
550
5,400
600
6,000
700
6,300
750
7,000
(a) The company's production schedule shows that 500 units must be produced next month. What is the point estimate of the total cost (in dollars) for next month? (Round your answer to the nearest cent.)
$
(b) Develop a 99% prediction interval for the total cost (in dollars) for next month. (Round your answers to the nearest cent.)
to $
(c) If an accounting cost report at the end of next month shows that the actual production cost during the month was $6,500, should managers be concerned about incurring such a high total cost for the month? Discuss.
Since $6,500 is ---Select---v the prediction interval, managers should ---Select---v concerned about incurring such a high total cost for one month.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The below data on the production volume x and total cost y (in dollars) for a particular manufacturing operation were used to develop the estimated regression equation ŷ = 1,401.33 + 7.36x. Production Volume Total Cost (units) ($) 400 4,000 450 5,100 550 5,400 600 6,000 700 6,300 750 7,000 (a) The company's production schedule shows that 500 units must be produced next month. What is the point estimate of the total cost (in dollars) for next month? (Round your answer to the nearest cent.) $ (b) Develop a 99% prediction interval for the total cost (in dollars) for next month. (Round your answers to the nearest cent.) to $ (c) If an accounting cost report at the end of next month shows that the actual production cost during the month was $6,500, should managers be concerned about incurring such a high total cost for the month? Discuss. Since $6,500 is ---Select---v the prediction interval, managers should ---Select---v concerned about incurring such a high total cost for one month.
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