Y-intercept

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.

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