Faculty Salary and Completion Rate The CompRate variable in CollegeScores$4$yr records the percentage of students at each four$-$year school who graduate within six years $($known as the completion or graduation rate$).$ Another variable, FacSalary, gives the average monthly salary for faculty $($in dollars$)$ at each school.

$($a$)$ Use technology to find a regression line for predicting the completion rate at four$-$year colleges, based on their faculty salaries.

Intercept $=$

$($round to two decimal places$)$

Slope $=$

$($round to four decimal places$)$

$($b$)$ What does the fitted line indicate about the expected completion rate at a school with average monthly faculty salary of $$5,000?$

Predicted completion rate $=$

$\%($round to two decimal places$)$

$($c$)$ Does it look like higher completion rates are associated with higher faculty salaries?