|
The plant manager wants to establish the relationship between the number of line shutdowns (x) and the number of delivery deadlines missed (y). Below is the data collected from the last six months: |
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SST |
|
SSE |
SSR |
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|
x |
y |
|
|
|
|
|
|
|
|
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|
3 |
83 |
-2 |
18 |
-36 |
4 |
324 |
80.08 |
8.53 |
227.41 |
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|
4 |
74 |
-1 |
9 |
-9 |
1 |
81 |
72.54 |
2.13 |
56.85 |
||
|
7 |
48 |
2 |
-17 |
-34 |
4 |
289 |
49.92 |
3.69 |
227.41 |
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|
2 |
84 |
-3 |
19 |
-57 |
9 |
361 |
87.62 |
13.10 |
511.66 |
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|
6 |
59 |
1 |
-6 |
-6 |
1 |
36 |
57.46 |
2.37 |
56.85 |
||
|
8 |
42 |
3 |
-23 |
-69 |
9 |
529 |
42.38 |
0.14 |
511.66 |
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|
totals |
30 |
390 |
0 |
0 |
-211 |
28 |
1620 |
29.96 |
1591.84 |
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|
means |
5 |
65 |
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b1 = |
Coefficient of Determination = |
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bo = |
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|
|
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Regression equation is |
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2. |
In multiple regression, the following regression equation is obtained: |
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y = -8 + 2.6x – 47.2w |
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Predict y if x = 30 and w = -10 |
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3. As a car salesperson, you must predict the selling price of your used cars. You calculate a regression line with the dependent variable being the price and the independent variable being the mileage of the vehicle. You use a statistical software package that reports that your SSE is 22 and your SST is 40.
What is your coefficient of determination?
What could you do to improve your regression equation?