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# Correlation and Regression

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Consumer Debt: Bank credit card debt has risen steadily over the years.
The table gives debt per household in 1994 dollars.

Year (x)Â Â Â Â Â Â 1975Â Â Â Â Â Â Â 1980Â Â Â Â Â 1985Â Â Â Â Â 1990Â Â Â Â Â 1995
Debt (y)Â Â Â Â Â  270Â Â Â Â Â Â  650Â Â Â  1100Â Â Â  1800Â Â Â  3100

a.Â  Plot the data.Â  Does the graph show a linear pattern?
b.Â  Find the equation of the least squares line and graph it on the same axes.Â  Does the line appear to be a good fit?
c. Find and interpret the coefficient of correlation.
d. If this linear trend continues, when will household debt reach \$3300?

https://brainmass.com/math/graphs-and-functions/correlation-regression-5196

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