A researcher collected data on ( X , Y ), and wanted to test if the true relationship is linear. Therefore, she collected replicated values of X. Here is a summary of the data, and some results: Xi No. of replicates y; SSE = 312. 1 3 9 10 2 5 11 8 3 12 14 4 4 15 13 5 3 9 6 11 10 7 8. 4 8 3 7 CO 2.

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A researcher collected data on ( X, Y ), and wanted to test if the true relationship is linear.
Therefore, she collected replicated values of X. Here is a summary of the data, and some results:
Xi No. of replicates yi
SSE = 312.
1
3
9
10
5
11
8.
3
2
12
14
4
4.
15
13
3
9
6
6
5
11
10
7
1
8
4
8
3
7
5
At significance level a = 0.05, carry out the test of Lack-of-Fit for linearity of the model.
No need to show an ANOVA Table.
Calculations:
Test statistic: T =
Critical value =
Conclusion: Since
we
2.
Transcribed Image Text:A researcher collected data on ( X, Y ), and wanted to test if the true relationship is linear. Therefore, she collected replicated values of X. Here is a summary of the data, and some results: Xi No. of replicates yi SSE = 312. 1 3 9 10 5 11 8. 3 2 12 14 4 4. 15 13 3 9 6 6 5 11 10 7 1 8 4 8 3 7 5 At significance level a = 0.05, carry out the test of Lack-of-Fit for linearity of the model. No need to show an ANOVA Table. Calculations: Test statistic: T = Critical value = Conclusion: Since we 2.
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