We are given a partial computer output based on a sample of 20 observations:
Coefficient |
Standard Error |
|
Constant |
12.9 |
4.4 |
X1 |
-3.7 |
2.6 |
X2 |
45.2 |
12.6 |
ANOVA
Source |
df |
SS |
MS |
F |
Regression |
300 |
150 |
? |
|
Error |
516 |
The test statistic used to determine if there is a relationship among the variables equals
Solution: We need to complete the ANOVA table, in order to find the test statistic that is used to determine if there is a relationship among the variable.
The ANOVA can be filled as:
We are given there are 20 observations in the sample. Also we are given the number of predictor variables is 2.
Therefore, we have:
Therefore, the test statistic used to determine if there is relationship among the variables equals
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