1. A researcher has developed a new test of self-esteem. To evaluate the reliability of the test, the researcher obtains a sample of n= 8 participants. Each individual takes the test on a Monday morning, then returns two weeks later to take the test again. The two scores for each individual are reported in the following table. First Test Second Test 11 13 7 5 12 12 11 14 10 10 12 9 8 13 14 M1st= 10.25 s? = 3.64 s = 1.91 M2nd = 11 s? = 10.00 %3D s = 3.16 a. Compute the Pearson correlation b. If you were trying to predict a value of the Second Test score from a value of the First Test score, what would the equation be? c. If someone had a score of 15 for the First Test, what would the best estimate of their Y score be?

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1. A researcher has developed a new test of self-esteem. To evaluate the reliability of the test, the researcher
obtains a sample of n = 8 participants. Each individual takes the test on a Monday morning, then returns two
weeks later to take the test again. The two scores for each individual are reported in the following table.
First Test
11
Second Test
13
7
12
12
11
14
10
10
12
9.
8
13
14
M2nd = 11
s? = 10.00
Mist = 10.25
s? = 3.64
s = 1.91
s = 3.16
a. Compute the Pearson correlation
b. If you were trying to predict a value of the Second Test score from a value of the First Test score,
what would the equation be?
c. If someone had a score of 15 for the First Test, what would the best estimate of their Y score be?
Transcribed Image Text:1. A researcher has developed a new test of self-esteem. To evaluate the reliability of the test, the researcher obtains a sample of n = 8 participants. Each individual takes the test on a Monday morning, then returns two weeks later to take the test again. The two scores for each individual are reported in the following table. First Test 11 Second Test 13 7 12 12 11 14 10 10 12 9. 8 13 14 M2nd = 11 s? = 10.00 Mist = 10.25 s? = 3.64 s = 1.91 s = 3.16 a. Compute the Pearson correlation b. If you were trying to predict a value of the Second Test score from a value of the First Test score, what would the equation be? c. If someone had a score of 15 for the First Test, what would the best estimate of their Y score be?
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