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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.
Click on the datafile logo to reference the data.
Year | Cost/Unit ($) | Year | Cost/Unit ($) | |
1 | 20.00 | 5 | 26.60 | |
2 | 24.50 | 6 | 30.00 | |
3 | 28.20 | 7 | 31.00 | |
4 | 27.50 | 8 | 36.00 |
(b) | Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. |
If required, round your answers to two decimal places. | |
y-intercept, b0 = | |
Slope, b1 = | |
MSE = | |
(c) | What is the average cost increase that the firm has been realizing per year? |
Round your interim computations and final answer to two decimal places. | |
$ | |
(d) | Compute an estimate of the cost/unit for next year. |
If required, round your answer to two decimal places. | |
$ |
b)
y intecept bo =19.99
slope b1 =1.77
SSE =Syy-(Sxy)2/Sxx= | 23.346 |
MSE =SSE/n =2.92
c) average cost increase that the firm has been realizing per year =slope =1.77
d)
predicted value=19.993+9*1.774= | 35.96 |
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