Timothy T. Rash, head statistician for the Chicago City Sanitation Department is interested in knowing if a set of new Big-Gulp Garbage trucks are permitting his workers to be more efficient. As a measure of efficiency, Mr. Rash uses pounds of trash collected per hour on residential routes. This is his dependent variable. The independent variable is a dummy variable coded 1 if the route used Big-Gulp Trucks and 0 if it did not. A regression program produces the following results:
= 2894 + 526 X r2 = .25 Sy|x = 612 sb = 203 n = 47
What is the hypothesis that Mr. Rash wishes to test? Interpret the slope, intercept, and coefficient of determination for him. Evaluate the hypothesis.