I would like to determine whether the price of regular unleaded gasoline rises the further one travels east on Rte 15 from Essex Jct. I expect the the cost does rise due to reduced sales volumes. I propose to start at Essex Jct 5-corners and drive east on Rte 15 collecting the mileage (distance from 5 corners) and cost of regular unleaded for the first 30 gas stations I come to.

Based on the attached analysis, there is no linear relationship between the price of gasoline and the distance from Essex Jct, VT (traveling east on rt 15, and then rt 2 once 15 ended). Because there is no linear relationship between the two variables, a Least Squares Regression equation is not appropriate.

I did notice that as I drove through less populated areas - small towns with one general store/gas station - the price of gasoline did rise sharply in a number of cases. My original proposal hypothesized that distance from Essex Jct was a good indicator or sales volume. When collecting the data, I realized that I had to travel a long distance on rte 15 to obtain 30 samples. Over this distance I passed through towns with varying population densities. In hind-sight, my hypothesis might have been more accurate if I had analyzed population density vs. gas price, or at least determined that there was a linear relationship between distance from Essex Jct and population density.

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