The president of a small manufacturing firm is concerned about the continual increase in manufacturing costs over the past several years. The following. figures provide a time series of the cost per unit for the firm's leading product over the past eight years. Cost/Unit ($) Year 1 = 2 3 4 Cost/Unit ($) 20.00 24.50 28.20 27.50 Year 5 8 26.60 30.00 31.00 36.00 (a) Construct a time series plot. What type of pattern exists in the data? O The time series plot shows a seasonal pattern. O The time series plot shows a horizontal pattern. O The time series plot shows a nonlinear trend. O The time series plot shows a linear trend. (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your answers to two decimal places.) bo = b₁ (c) What is the average cost increase (in $) that the firm has been realizing per year? (Round your answer to two decimal places.) $ (d) Compute an estimate of the cost/unit (in $) for the next year. (Round your answer to two decimal places.) $

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
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The president of a small manufacturing firm is concerned about the continual increase in manufacturing costs over the past several years. The following
figures provide a time series of the cost per unit for the firm's leading product over the past eight years.
Year
1
2
=
3
4
Cost/Unit ($) Year
20.00
24.50
28.20
27.50
5
6
7
8
Cost/Unit ($)
26.60
30.00
31.00
36.00
(a) Construct a time series plot. What type of pattern exists in the data?
O The time series plot shows a seasonal pattern.
O The time series plot shows a horizontal pattern.
O The time series plot shows a nonlinear trend.
O The time series plot shows a linear trend.
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your answers to two decimal
places.)
bo =
b₁
(c) What is the average cost increase (in $) that the firm has been realizing per year? (Round your answer to two decimal places.)
$
(d) Compute an estimate of the cost/unit (in $) for the next year. (Round your answer to two decimal places.)
$
Transcribed Image Text:The president of a small manufacturing firm is concerned about the continual increase in manufacturing costs over the past several years. The following figures provide a time series of the cost per unit for the firm's leading product over the past eight years. Year 1 2 = 3 4 Cost/Unit ($) Year 20.00 24.50 28.20 27.50 5 6 7 8 Cost/Unit ($) 26.60 30.00 31.00 36.00 (a) Construct a time series plot. What type of pattern exists in the data? O The time series plot shows a seasonal pattern. O The time series plot shows a horizontal pattern. O The time series plot shows a nonlinear trend. O The time series plot shows a linear trend. (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. (Round your answers to two decimal places.) bo = b₁ (c) What is the average cost increase (in $) that the firm has been realizing per year? (Round your answer to two decimal places.) $ (d) Compute an estimate of the cost/unit (in $) for the next year. (Round your answer to two decimal places.) $
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