Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study: Patient 7-Minute Screen Cognitive Tests A 3 11 B 8 19 C 10 22 D 8 20 E 4 14 F 7 13 G 4 9 H 5 20 I 14 25 A) Compute the Pearson correlation to measure the degree of relationship between the two test scores. B) Is the correlation statistically significant? Use a two-tailed test with a = .01. C) What percentage of variance for the cognitive score is predicted from the 7-Minute Screen scores (i.e., compute the value of r2)?
Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study:
Patient 7-Minute Screen Cognitive Tests
A 3 11
B 8 19
C 10 22
D 8 20
E 4 14
F 7 13
G 4 9
H 5 20
I 14 25
A) Compute the Pearson
C) What percentage of variance for the cognitive score is predicted from the 7-Minute Screen scores (i.e., compute the value of r2)?
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