Refer to the Engineering Project Organizational Journal (Vol. 3., 2013) study of how the emotional intelligence of individual team members relates directly to the performance of their team, Exercise 11.23. Recall that students enrolled in the course, Introduction to the Building Industry, completed an emotional intelligence test and received an interpersonal score, stress management score, and mood score. Students were then grouped into n = 23 teams and each team received an average project score. Three independent variables—range of interpersonal scores (x₁), range of stress management scores (x₂), and range of mood scores (x₃)—were used to model mean project score (y). The data for the analysis are reproduced below.

a. Hypothesize a complete 2nd-order model for project score (y) as a function of x₁, x₂, and x₃.

b. Fit the model, part a to the data using statistical software.

c. Evaluate the overall adequacy of the model using both a test of hypothesis and a numerical measure of model adequacy.

d. Is there sufficient evidence to indicate that the range of interpersonal scores (x₁) is curvilinearly related to average project score, y? Test at α = .01.

e. Repeat part d for range of stress management scores (x₂).

f. Repeat part d for range of mood scores (x₃).

Data from Exercise 11.23

The Engineering Project Organizational Journal (Vol. 3., 2013) published the results of an exploratory study designed to gain a better understanding of how the emotional intelligence of individual team members relates directly to the performance of their team during an engineering project. Undergraduate students enrolled in the course, Introduction to the Building Industry, participated in the study. All students completed an emotional intelligence test and received an interpersonal score, stress management score, and mood score. Students were grouped into n = 23 teams and assigned a group project. However, each student received an individual project score. These scores were averaged to obtain the dependent variable in the analysis— mean project score (y).

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TEAMPERF Intrapersonal (Range) Моod Project (Average) Тeam Stress (Range) (Range) 1 14 12 17 88.0 2 21 13 45 86.0 3 26 18 6 83.5 4 30 20 36 85.5 5 28 23 22 90.0 6 27 24 28 90.5 21 24 38 94.0 8. 20 30 30 85.5 14 32 16 88.0 10 18 32 17 91.0 11 10 33 13 91.5 12 28 43 28 91.5 13 19 19 21 86.0 14 26 31 26 83.0 15 25 31 11 85.0 16 40 35 24 84.0 17 27 12 14 85.5 18 30 13 29 85.0 19 31 24 28 84.5 20 25 26 16 83.5 21 23 28 12 85.0 22 20 32 10 92.5 23 35 35 17 89.0