The article “The Caseload Controversy and the Study of Criminal Courts” (Journal of Criminal Law and Criminology [1979]: 89–101) used a multiple regression analysis to help assess the impact of judicial caseload on the processing of criminal court cases. Data were collected in the Chicago criminal courts on the following variables:

The estimated regression equation (based on n = 367 observations) was

where x₃ = x₁x₂.

a. The reported value of R² was .16. Conduct the model utility test. Use a .05 significance level.

b. Given the results of the test in Part (a), does it surprise you that the R² value is so low? Can you think of a possible explanation for this?

c. How does adjusted R² compare to R²?

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y = number of indictments x₁ = number of cases on the docket X₂ number of cases pending in criminal court trial system =