Regression Report

 

Situation: (data are taken from p11_16)

Different trucks have different maintenance costs. I want to find out how well independent variables predict the costs of repairs for the trucks.


Variables:

The two readily available, and seemingly relevant variables are age of the trucks and miles driven.


Influence diagram:

diagram

Mathematical Representation:



Implementation and use:

The above graphs and equations show that there is a higher correlation between maintenance costs and miles driven, then maintenance costs and the age of the trucks. In fact almost 93 % of the maintenance costs can be explained by the mileage.

From the information I have gained, I am able to forcast the maintenance costs of trucks, by knowing the mileage it has been driven using the following equasion:

maintanance costs = 0.0785 mileage + 8.7698.

This way, I will be able to make better decisions about which truck to buy, and know what my expenses will be.