Consider the model: The model for a second-order relationship between y and x3.
ID: 3337598 • Letter: C
Question
Consider the model: The model for a second-order relationship between y and x3. Consider a project team whose members work in different offices, buildings, cities, or countries. How is team performance related to the frequency of communication between the members of the team? Is there a linear relationship, or can both high and low levels of communication impede team performance? Ralitza R. Patrashkova-Volzdoska, Sara A. McComb, Stephen G. Green, and W. Dale Compton study this question in their paper "Examining a Curvilinear Relationship Between Communication Frequency and Team Performance in Cross-Functional Project Teams," IEEE Transactions on Engineering Management 50, no. 3 (2003) Their regression model is the preceding model, where: yteam performance (measured by goal achievement) X1 = frequency of face-to-face communication X2 = frequency of e-mail communication x3frequency of telephone communication x4task significance xs = team size x6 = site indicator variable (equals 1 if team members work at the same site, 0 otherwise) x7 = city indicator variable (equals 1 if team members work at different sites in the same city, 0 otherwise) The model may be written as: 0 + 1 Face-to-Face + 2 Face-to-Face2 + 3 E-mail + 4 E-mail2 + Bs Telephone + 6Telephone2 + , significance + 8 Size + 9 Site + 10 City + Performance =Explanation / Answer
The regression model gives a second order quadratic relationship between y and x3 .
(b) Option A is correct . Face- to- face and e-mail
(c) Here slope of the curve = 0.80 - 0.26E
so the increase in the frequency of e-mail communication beyond a level of (0.80/0.26) = 3.08 degrades team performance.