question archive Calculate the Pearson correlation coefficient r (using Excel), and the t-test statistic for testing H0 Population correlation =0 VS Ha Population Correlation ≠ 0 using formula T=r/Sqrt((1 – r^2)/(n-2)) for the following data X 12 13 14 16 17 18 21 24 26 30 Y 35 30 28 25 26 21 19 17 15 10 X 12 13 14 16 17 18 21 24 26 30 Y 35 30 28 25 26 21 19 17 15 10
Calculate the Pearson correlation coefficient r (using Excel), and the t-test statistic for testing H0 Population correlation =0 VS Ha Population Correlation ≠ 0 using formula T=r/Sqrt((1 – r^2)/(n-2)) for the following data X 12 13 14 16 17 18 21 24 26 30 Y 35 30 28 25 26 21 19 17 15 10 X 12 13 14 16 17 18 21 24 26 30 Y 35 30 28 25 26 21 19 17 15 10
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Calculate the Pearson correlation coefficient r (using Excel), and the t-test statistic for testing
H0 Population correlation =0 VS Ha Population Correlation ≠ 0 using formula
T=r/Sqrt((1 – r^2)/(n-2)) for the following data
|
X |
12 |
13 |
14 |
16 |
17 |
18 |
21 |
24 |
26 |
30 |
|
Y |
35 |
30 |
28 |
25 |
26 |
21 |
19 |
17 |
15 |
10 |
|
X |
12 |
13 |
14 |
16 |
17 |
18 |
21 |
24 |
26 |
30 |
|
Y |
35 |
30 |
28 |
25 |
26 |
21 |
19 |
17 |
15 |
10 |
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Answer: r= -0.97181 T=0.216
Test Conclusion:H0 population correlation =0 VS Ha population correlation ≠ 0 usingformula
T=r/Sqrt((1 – r^2)/(n-2)) for the following data
X 12 13 14 16 17 18 21 24 26 30
Y 35 30 28 25 26 21 19 17 15 10
Note: If the T value is between -2 ans 2 we do not reject H0, otherwise we reject Ha
