2. The following table shows the pairwise Pearson correlation coefficients for the three variables from Question 1. (these data are samples, so we used the sample correlation coefficient formula.) Unemployment Rate CPI Discouraged Workers Unemployment Rate 1 0.27 0.84 CPI 1 0.42 Discouraged Workers 1 a. Explain how the sample correlation formula differs from the population formula. b. Referring to the table above, what is the correlation between the Unemployment Rate and the CPI? Between Discouraged Workers and the Unemployment Rate? Does the correlation value between Discouraged Workers and the Unemployment Rate surprise you or is this what you would have expected? c. What is the coefficient of determination? Calculate the coefficient of determination between the Unemployment Rate and Discouraged Workers. d. What is the central assumption of the correlation coefficient in terms of the "shape" the relationship between the two variables of interest?
2. The following table shows the pairwise Pearson correlation coefficients for the three variables from Question 1. (these data are samples, so we used the sample correlation coefficient formula.) Unemployment Rate CPI Discouraged Workers Unemployment Rate 1 0.27 0.84 CPI 1 0.42 Discouraged Workers 1 a. Explain how the sample correlation formula differs from the population formula. b. Referring to the table above, what is the correlation between the Unemployment Rate and the CPI? Between Discouraged Workers and the Unemployment Rate? Does the correlation value between Discouraged Workers and the Unemployment Rate surprise you or is this what you would have expected? c. What is the coefficient of determination? Calculate the coefficient of determination between the Unemployment Rate and Discouraged Workers. d. What is the central assumption of the correlation coefficient in terms of the "shape" the relationship between the two variables of interest?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![2. The following table shows the pairwise Pearson correlation coefficients for the three
variables from Question 1. (these data are samples, so we used the sample correlation
coefficient formula.)
Unemployment
Rate
CPI
Discouraged
Workers
Unemployment
Rate
1
0.27
0.84
CPI
1
0.42
Discouraged
Workers
1
a. Explain how the sample correlation formula differs from the population formula.
b. Referring to the table above, what is the correlation between the
Unemployment Rate and the CPI? Between Discouraged Workers and the
Unemployment Rate? Does the correlation value between Discouraged Workers
and the Unemployment Rate surprise you or is this what you would have
expected?
c. What is the coefficient of determination? Calculate the coefficient of
determination between the Unemployment Rate and Discouraged Workers.
d. What is the central assumption of the correlation coefficient in terms of the
"shape" the relationship between the two variables of interest?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdab288d4-e841-4842-b264-f20078e4dc53%2F8d912d73-498f-4e88-86da-6af5149b7581%2F1pvnyn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The following table shows the pairwise Pearson correlation coefficients for the three
variables from Question 1. (these data are samples, so we used the sample correlation
coefficient formula.)
Unemployment
Rate
CPI
Discouraged
Workers
Unemployment
Rate
1
0.27
0.84
CPI
1
0.42
Discouraged
Workers
1
a. Explain how the sample correlation formula differs from the population formula.
b. Referring to the table above, what is the correlation between the
Unemployment Rate and the CPI? Between Discouraged Workers and the
Unemployment Rate? Does the correlation value between Discouraged Workers
and the Unemployment Rate surprise you or is this what you would have
expected?
c. What is the coefficient of determination? Calculate the coefficient of
determination between the Unemployment Rate and Discouraged Workers.
d. What is the central assumption of the correlation coefficient in terms of the
"shape" the relationship between the two variables of interest?
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