A well-known university is interested in how salary (in thousands of dollars) is predicted from years of service for faculty and administrative staff.  Below are the estimated regression equations. Faculty (n = 170): ŷ = 60 + 1.1x Admin. (n = 155): ŷ = 57 + 1.5x a) How much would a faculty member be earning after 5 years of service? b) In how many years will an administrator earn the same amount as in a)?

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A well-known university is interested in how salary (in thousands of dollars) is predicted from years of service for faculty and administrative staff.  Below are the estimated regression equations.

Faculty (n = 170): ŷ = 60 + 1.1x
Admin. (n = 155): ŷ = 57 + 1.5x

a) How much would a faculty member be earning after 5 years of service?

b) In how many years will an administrator earn the same amount as in a)?

 

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