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 = 1,213.33 + 7.6x. Production Volume Total Cost (units) ($) 400 450 550 600 700 750 4,000 4,900 5,300 6,000 6,400 6,900 (a) The company's production schedule shows that 650 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.) $1 X (b) Develop a 99% prediction interval for the total cost (in dollars) for next month. (Round your answers to the nearest cent.) $1 X to $1 X (c) If an accounting cost report at the end of next month shows that the actual production cost during the month was $7,000, should managers be concerned about incurring such a high total cost for the month? Discuss. Since $7,000 is outside of the prediction interval, managers should not be ✓ 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 = 1,213.33 + 7.6x.
Production Volume Total Cost
(units)
($)
400
450
550
600
700
750
4,000
X
4,900
5,300
6,000
6,400
6,900
(a) The company's production schedule shows that 650 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.)
$1
(b) Develop a 99% prediction interval for the total cost (in dollars) for next month. (Round your answers to the nearest cent.)
$1
X to $1
X
(c) If an accounting cost report at the end of next month shows that the actual production cost during the month was $7,000, should managers be concerned about incurring such a high total cost
for the month? Discuss.
Since $7,000 is outside of ⒸX the prediction interval, managers should not be
concerned about incurring such a high total cost for one month.
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The below data on the production volume x and total cost y (in dollars) for a particular manufacturing operation were used to develop the estimated regression equation ŷ = 1,213.33 + 7.6x. Production Volume Total Cost (units) ($) 400 450 550 600 700 750 4,000 X 4,900 5,300 6,000 6,400 6,900 (a) The company's production schedule shows that 650 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.) $1 (b) Develop a 99% prediction interval for the total cost (in dollars) for next month. (Round your answers to the nearest cent.) $1 X to $1 X (c) If an accounting cost report at the end of next month shows that the actual production cost during the month was $7,000, should managers be concerned about incurring such a high total cost for the month? Discuss. Since $7,000 is outside of ⒸX the prediction interval, managers should not be concerned about incurring such a high total cost for one month.
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