Select the correct entries from the dropdown menus to complete the following table of possible results when analyzing the effect of a third variable Z on the relationship between two variables X and Y.

Compared with Bivariate Table, Partial Tables Show	Pattern	Implications for Further Analysis	Likely Next Step
The same relationship between X and Y (gammas for partial tables within 0.10 of bivariate gamma)	_______	____________	Analyze another Z variable
Weaker relationship between X and Y (gammas from partial tables at least 0.10 weaker than bivariate gamma)	_______	____________	Focus on the relationship between Z and X or among X, Y, and Z
Mixed (at least 0.10 difference in gammas between partial tables and between partial tables and bivariate tables)	_______	____________	Analyze subgroups (categories of Z) separately

Consider the following bivariate table showing the relationship between the number of missed workdays (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	61 (59.8%)	59 (35.5%)	120
High	41 (40.2%)	107 (64.5%)	148
Totals	102 (100.0%)	166 (100.0%)	268
	Gamma = +0.4592

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

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

A. Below 40

	Frequency of Absence (X)
Monthly Sales (Y)	Low	High	Totals
Low	17 (54.8%)	4 (8.0%)	21
High	14 (45.2%)	46 (92.0%)	60
Totals	31 (100.0%)	50 (100.0%)	81
	Gamma = +0.8663

B. 40 or above

	Frequency of Absence (X)
Monthly Sales (Y)	Low	High	Totals
Low	44 (62.0%)	55 (47.4%)	99
High	27 (38.0%)	61 (52.6%)	88
Totals	71 (100.0%)	116 (100.0%)	187
	Gamma = +0.2876

Compared with the bivariate table, the partial tables show _________ relationship between the number of missed workdays 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 (age) in further analysis.