Question: Consider the following bivariate table showing the relationship between the number of missed work days (frequency of absence: low or high) and the amount of

Consider the following bivariate table showing the relationship between the number of missed work days (frequency of absence: low or high) and the amount of monthly sales (classified as either low or high, based on company-wide averages) among sales personnel at a car dealership.

Frequency of Absence (X)
Monthly Sales (Y) Low High Totals
Low 43 (51.2%) 31 (22.8%) 74
High 41 (48.8%) 105 (77.2%) 146
Totals 84 (100.0%) 136 (100.0%) 220
Gamma = +0.5607

The data in the table suggest that there is association between the number of missed work days (X) and the amount of monthly sales (Y).

Here are the partial tables showing the bivariate relationship between X and Y after controlling for level of education.

A. High School

Frequency of Absence (X)
Monthly Sales (Y) Low High Totals
Low 24 (48.0%) 9 (22.0%) 33
High 26 (52.0%) 32 (78.0%) 58
Totals 50 (100.0%) 41 (100.0%) 91
Gamma = +0.5329

B. College

Frequency of Absence (X)
Monthly Sales (Y) Low High Totals
Low 19 (55.9%) 22 (23.2%) 41
High 15 (44.1%) 73 (76.8%) 88
Totals 34 (100.0%) 95 (100.0%) 129
Gamma = +0.6156

Compared with the bivariate table, the partial tables show relationship between the number of missed work days and the amount of monthly sales. This is evidence of relationship between the X and Y variables and implies that you should the variable Z (level of education) in further analysis.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!