A company has a set of data with employee age X and the corr

A company has a set of data with employee age (X) and the corresponding number of annual on-the-job-accidents. Analysis on the set finds that the regression equation is Y=110-3.78X.

What can be said of the correspondence between age and accidents?

Are older workers safer or more prone to accident?

What is the likely number of accidents for someone aged 18?

By the given regression equation is there an age when will be no possibility of having an accident?

Solution

Since the slope coefficient is negative, age and accidents are negatively related. Thus, older workers are safer (fewer accidents). For x=18, Y = 110-3.78*18 = 41.96 expected number of accidents.

For Y=0 (no accidents), age X = 29.1 years where expected accidents is zero.