Question

For the data set below, calculate r, r2, and a 95 percent confidence interval in runits....

For the data set below, calculate r, r2, and a 95 percent confidence interval in runits. Then write a one- to two sentence conclusion statement that includes whether the null hypothesis was rejected or not and whether there is a strong /weak/no relationship. Assume a two tailed hypothesis and α = .05.

Case 1 Case 2 Case 3 Case 4 Case 5 Case 6
X 1.05 1.15 1.30 2.00 1.75 1.00
Y 2 2 3 4 5 2
0 0
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Answer #1

Solution

Now, with the provided sample data, we need to construct the following table to compute the correlation coefficient: Obs. X Y

n 1 SSYY Y n i=1 2=1 1 = 62 x 324 6 = 8 n 1 SSXY = ΣΧΥ ΣΧ.) (ΣΥ n i=1 i=1 i=1 1 = 27.05 - X 148.5 6 = 2.3 Now, the correlatio

The following needs to be tested: Ho :p=0 HA: p=0 where p corresponds to the population correlation. The sample size is n=6,

Conclusion :

Null hypothesis was rejected and whether there is a strong relationship.

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