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This is the most accurate equation I could find for a line of best fit (Note: the relationship is not linear. This equation is for the line of best fit):(r=homeless rate, p=population): R= P/43,420,000 +0.1.

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There is definitely a increase in the homeless rate but not a linear one. Around one in every 465 people in metro areas with populations over 2,000,000  was homeless compared to one in every 655 for small, and about one in every 725 for medium. The fact that the median and mean was lower for medium sized metro areas than small metro areas proves that the relationship is not linear and makes it very hard to draw a line of best fit.

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Small: 0.1525%
Medium:0.138%
Large:0.2155%

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The median homeless rate of the 25 sample metro areas with a population over 2,000,000 was 0.2%. The mean absolute deviation is  0.093552

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Small: 0.13
Medium:0.09
Large:0.19

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Cities Under 610,000: Median and Mean Absolute Deviation

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Cities Under 610,000: Median and Mean Absolute Deviation

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The median homeless rate of the 15 sample metro areas with populations between 610,000 and 510,000 people was 0.12% . The mean absolute deviation is 0.06293.

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Cities Under 250,000: Median and Mean Absolute Deviation

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Cities Under 250,000: Median and Mean Absolute Deviation

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The median homeless rate of the  8 sample metro areas with populations under 250,000 was 0.13%. The Mean absolute deviation is 0.053125