Compute the correlation coefficient for the following data set. x 1 2 3 4 5 6 7 y 2 1 4 3 9 5 6
Compute the correlation coefficient for the following data set. x 1 2 3 4 5 6 7 y 2 1 4 3 9 5 6
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Question
Compute the
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
y | 2 | 1 | 4 | 3 | 9 | 5 | 6 |
Expert Solution
Step 1
Correlation:
A statistical method that is applied between the pairs of variables to check how the strongly they are related is termed as correlation. The correlation measures the two given variables based on,
- Strength of the association
- Direction of the relationship
Strength of the association: The correlation between the two variables x and y take values between -1 and +1.
Direction of the relationship: Based on the sign of the correlation the direction of the relationship is identified between the two variables. Also, the signs may be positive or negative.
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