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 9. 10 10 12 9. 8. 13 14 Mist = 10.25 s2 = 3.64 M2nd = 11 s2 = 10.00 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? If someone had a score of 15 for the First Test, what would the best estimate of their Y score be? с.

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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
Second Test
11
13
7
5
12
12
11
14
9.
10
10
12
9.
8
13
14
Mist = 10.25
s² = 3.64
Мnd 3D 11
s? = 10.00
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 Second Test 11 13 7 5 12 12 11 14 9. 10 10 12 9. 8 13 14 Mist = 10.25 s² = 3.64 Мnd 3D 11 s? = 10.00 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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