A store manager wishes to find out whether there is a relationship between the age of the employees and the number of sick days they incur each year. The data for the sample are shown below. Calculate the correlation coefficient (r) and describe the relationship in terms of strength and direction.

A store manager wishes to find out whether there is a relationship between the age of the employees and the number of sick days they incur each year. The data for the sample are shown below. Calculate the correlation coefficient (r) and describe the relationship in terms of strength and direction.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 23PFA

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Question

PRACTICE
A. A store manager wishes to find out whether there is a relationship between the age of the
employees and the number of sick days they incur each year. The data for the sample are shown
below. Calculate the correlation coefficient ( r) and describe the relationship in terms of strength
and direction.
Y-Y BAR (X-X BAR) (Y-Y BAR)
(Х-X BAR)2
(Y-Y BAR)2
Y
X-Х BAR
18
16
12
26
39
9.
48
53
58
INTERPRETATION:

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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