Interpret the r2nbspvalues for the models- give the null

Question

Study of supervisor-targeted aggression. ''Moonlighters'' are workers who hold two jobs at the same time. What are the factors that impact the likelihood of a moonlighting worker becoming aggressive toward his/her supervisor? This was the research question of interest in the Journal of Applied Psychology (July 2005). Completed questionnaires were obtained from n = 105 moonlighters and the data were used to fit several multiple regression models for supervisor-directed aggression score (y). Two of the models (with R² values in parentheses) are given below:

Model 1:
 E(y) =β₀ + β₁(Age)
+β₂(Gender)
 +β₃(Interaction injustice at second job)
+β₄(Abusive supervisor at second job)
(R² = .101)

Model 2:
 E(y)=β₀ + β₁(Age) + β₂(Gender)
+β₃(Interactional injustice at second job)
+β₄(Abusive supervisor at second job)
+β₅(Self-esteem)
+β₆(History of aggression)
+β₇(Interactional injustice at primary job)
+β₈(Abusive supervisor at primary job)
(R² = .555)

(a) Interpret the R² values for the models.

(b) Give the null and alternative hypotheses for comparing the fits of Models 1 and 2.

(c) Are the two models nested? Explain.

(d) The nested F-test for comparing the two models resulted in F = 42.13 and p-value

(e) A third model was fit, one that hypothesizes all possible pairs of interactions between Self-esteem, History of aggression, Interactional injustice at primary job, and Abusive supervisor at primary job. Give the equation of this model (Model 3).

(f) A nested F-test to compare Models 2 and 3 resulted in a p-value > .10. What can you conclude from this result?