The y-intercept shows us what the response variable would equal if the explanatory variable(s) were zero.

Scenario: Crammer Nation University wants to develop a regression equation to predict the number of recruits a given fraternity will receive this rush season given the number of parties that fraternity threw last year. The took a sample of 52 fraternities on campus, resulting in the regression output below.

Interpret the y-intercept.

b0 is the y-intercept.

b0 = 85.8312

y-hat = 85.8312 + 20.5313(x1)

y-hat = 85.8312 + 20.5313(0)
y-hat = 85.8312 + 0
y-hat = 85.8312

Answer: If a fraternity threw 0 parties the previous year, they are predicted to receive 85.8312 recruits this rush season.

UH OH! Practice problems below are LOCKED!

Unlock 57 practice problems for ISA 225.

Includes 57 solution walkthroughs for each problem.

Activate AutoScroll

You haven't unlocked all of ISA 225 yet...

Unlock our 100 concept breakdowns & 57 practice problems with guided solution walkthroughs!