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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 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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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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