Refer to the Journal of Applied Psychology (January 2011) study of the relationship between task performance and conscientiousness, Exercise 12.94. Recall that y = task performance score (measured on a 30-point scale) was modeled as a function of x1 = conscientiousness score (measured on a scale of -3 to + 3) and x2 = {1 if highly complex job, 0 if not} using the complete model

a. Specify the null hypothesis for testing the overall adequacy of the model.
b. Specify the null hypothesis for testing whether task performance score 1y2 and conscientiousness score (x1) are curvilinearly related.
c. Specify the null hypothesis for testing whether the curvilinear relationship between task performance score (y) and conscientiousness score (x1) depends on job complexity (x2).
d. Explain how each of the tests, parts a-c, should be conducted (i.e., give the forms of the test statistic and the reduced model).

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- B(x1)? E(y) = B + Bxi + + Bx2 + Byrjx2 + Bs(x1)²x2