Using the information provided please answer Steps 1-6 below.

4. Partial gamma

Consider the following bivariate table showing the relationship between the amount 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	45	30	75
High	44	103	147
Totals	89	133	222
	Gamma = +0.5567

The data in the table suggest that there is a positive association between the amount of missed work days and the amount of monthly sales.

The partial tables showing the bivariate relationship between the amount of missed work days and the amount of monthly sales after controlling for level of education follow. Compute and select the correct value for gamma from the dropdown menu for each of these partial tables.

A. High School

	Frequency of Absence (X)
Monthly Sales (Y)	Low	High	Totals
Low	25	9	34
High	28	31	59
Totals	53	40	93
	Gamma =+ 0.5093

B. College

	Frequency of Absence (X)
Monthly Sales (Y)	Low	High	Totals
Low	20	21	41
High	16	72	88
Totals	36	93	129
	Gamma =+ 0.6216

Compared with the bivariate table, the partial tables show the same relationship between X and Y. This is evidence ofa spurious or intervening relationship between the variables and implies that you should modify the variable Z (level of education) in further analysis.

Since you found a spurious or intervening relationship between X and Y, you can proceed to calculate the partial gamma Gp. Follow and complete the steps that follow to calculate Gp:

Step 1: Add up the values for Ns from all partial tables. Ns =

Step 2: Add up the values for Nd from all partial tables. Nd =

Step 3: Subtract Nd from Ns. NsNd =

Step 4: Add Nd to Ns. Ns+Nd=

Step 5: Divide the quantity you found in Step 3 by the quantity you found in Step 4 to find Gp. Gp =

Step 6: The value of the partial gamma is __________ the value of the bivariate gamma G=0.5567. This ______________ the conclusion you drew from the partial tables about the relationship between the amount of missed work days and the amount of monthly sales.