1. ## Potential Correlation Application?

In Statistics, I have learned to find a best-fitting regression line for a set of data points on a coordinate plane. However, I was wondering if there was a way to find a single point on the plane that is closest to the most points in the dataset.

For example, assume there is a map showing the locations of houses in a city which require the service of a hospital. Is there a mathematical way to determine where the hospital should be centrally located in order to be in close proximity to the most homes?

I wouldn't know where to begin on this situation. Is there perhaps an equation or something that can be used?

2. Originally Posted by BCDavis
In Statistics, I have learned to find a best-fitting regression line for a set of data points on a coordinate plane. However, I was wondering if there was a way to find a single point on the plane that is closest to the most points in the dataset.

For example, assume there is a map showing the locations of houses in a city which require the service of a hospital. Is there a mathematical way to determine where the hospital should be centrally located in order to be in close proximity to the most homes?

I wouldn't know where to begin on this situation. Is there perhaps an equation or something that can be used?
The centroid, or centre of mass of the distribution.

CB