CENGAGE MINDTAP 14 Practice: Elaborating Bivariate Tables Back to Assignment Attempts Average / 11 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 14 41 55 High 24 28 52 Totals 38 69 107 Gamma = -0.4302 The data in the table suggest that there is a negative 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 age follow. Compute and select the correct value for gamma from the dropdown menu for each of these partial tables. A. Below 40 Frequency of Absence (X) Monthly Sales (Y) Low High Totals Low 8 12 20 High 15 24 Totals 23 21 44 Gamma = = 0.4286 B. 40 or above Q U K DII DD F1 F2 F3 F5 F6 F7 F8 F9 @ # $ % A 2 3 4 5 6 8 9CENGAGE MINDTAP 14 Practice: Elaborating Bivariate Tables Totals 23 21 44 Gamma = = V 0.4286 B. 40 or above Frequency of Absence (X) Monthly Sales (Y) Low High Totals Low 6 29 35 High 19 28 Totals 15 48 63 Gamma = - V 0.3920 ols Compared with the bivariate table, the partial tables show _a weaker _ relationship between X and Y. This is evidence Success Tips of a spurious or intervening _ relationship between the variables and implies that you should incorporate the variable Z (age) in further analysis. Success Tips 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. ENs = SIGN OUT Step 2: Add up the values for Na from all partial tables. ENa =_ Step 3: Subtract ENa from ENs. ENs - ENd =_ Step 4: Add ENa to ENs. ENs + ENd = _ Step 5: Divide the quantity you found in Step 3 by the quantity you found in Step 4 to find Gp . Gp = The value of the partial gamma is the value of the bivariate gamma G = -0.4302. 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. Grade It Now Save & Continue Continue without saving 20 U DII DD esc F1 F2 F3 F6 F7 F8 FO a $ % & 2 3 5 6 Q W E R T Y U