Correlation  Eunice Consultancy took a random sample of the monthly office rents per square meter and the percentage of vacancy office space in 15 different cities. The results are shown in the table below.   Vacancy Rate x Monthly Rent y 10 12 11 8 6 10 9 9 12 20 21 15 8 9 12 4,000 7,500 5,300 6,200 8,000 5,000 9,000 3,400 4,400 5,100 8,000 9,000 9,900 8,800 9,000   a. Calculate the coefficient of correlation using the Pearsons’ Product-Moment Coefficient of Correlation and the Spearman’s Rank-Order Coefficient of Correlation. Give the qualitative interpretations. b. Construct a scatter diagram

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Correlation

 Eunice Consultancy took a random sample of the monthly office rents per square meter and the percentage of vacancy office space in 15 different cities. The results are shown in the table below.

 

Vacancy Rate

x

Monthly Rent

y

10

12

11

8

6

10

9

9

12

20

21

15

8

9

12

4,000

7,500

5,300

6,200

8,000

5,000

9,000

3,400

4,400

5,100

8,000

9,000

9,900

8,800

9,000

 

a. Calculate the coefficient of correlation using the Pearsons’ Product-Moment Coefficient of Correlation and the Spearman’s Rank-Order Coefficient of Correlation. Give the qualitative interpretations.

b. Construct a scatter diagram

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