Question

In: Statistics and Probability

While attempting to measure its risk exposure for the upcomingyear, an insurance company notices a...

While attempting to measure its risk exposure for the upcoming year, an insurance company notices a trend between the age of a customer and the number of claims per year. It appears that the number of claims keep going up as customers age. After performing a regression, they find that the relationship is (claims per year) = 0.36*(age) + 5.43. If a customer is 38 years old and they make an average of 14.58 claims per year, what is the residual?



1)-23.42

2)-4.53

3)4.53

4)23.42

5)18.89

Solutions

Expert Solution

Given regression equation

Claims per year = 0.36*(age) + 5.43

For age = 38

Claims per year = 0.36*38 + 5.43

Claims per year = 19.11

So predicted claims per year = 19.11

Actual claims per year = 14.58

Residual = actual - predicted

Residual = 14.58 - 19.11

Residual = - 4.53


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