STATSTISTICS
QUESTION 1
1. Complete all missing elements in the ANOVA table.
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|
Factor Levels |
|||
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|
Sample from Level A |
Sample from Level B |
Sample from Level C |
Sample from Level D |
|
|
5 |
3 |
10 |
6 |
|
|
4 |
5 |
6 |
6 |
|
|
7 |
6 |
8 |
7 |
|
|
6 |
5 |
7 |
6 |
|
C= |
22 |
|
31 |
25 |
|
average = |
5.5 |
4.75 |
7.75 |
|
|
ANOVA |
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|
|
|
|
|
|
Source |
SS |
df |
MS |
F |
P-value |
F crit |
|
Method |
19.6875 |
|
6.5625 |
|
0.032461 |
3.490295 |
|
Error |
19.25 |
12 |
1.604167 |
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|
|
|
|
|
|
|
|
|
|
|
Total |
38.9375 |
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|
|
|
|
10 points
QUESTION 2
1. The results in the ANOVA table in the previous problem allow you to draw what conclusion?
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a. |
There is not a significant difference for any of the factor levels. |
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|
b. |
Level A is significantly different from Level D. |
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c. |
Level B is significantly different from Level D. |
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d. |
At least one of the factor levels is significantly different. |
5 points
QUESTION 3
1. Which graph shows positive correlation?
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|
|
A |
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|
B |
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|
|
C |
5 points
QUESTION 4
1.
|
x |
1 |
1.2 |
1.8 |
2 |
2 |
2.3 |
2.9 |
3.2 |
3.2 |
3.8 |
4 |
4.1 |
4.5 |
4.7 |
4.9 |
|
y |
0.6 |
2.5 |
4.3 |
3.2 |
5 |
5 |
6.9 |
8.2 |
7.1 |
8.9 |
10.8 |
9.4 |
10.5 |
12.7 |
12.4 |
2. Perform a linear regression on the given data table. Give the best fit line equation and the correlation coefficient.
3. y=___ x + _____
4. r2= ____
9 points
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