The Office of Federal Housing Enterprise Oversight (www.ofheo.gov) collects data on various aspects of housing costs around the United States.
Here is a scatterplot of the Housing Cost Index versus the Median Family Income for each of the 50 states. The correlation is 0.65.

For these data Kendall€™s tau is 0.51. Does that provide proof that by raising the median income in a state, the Housing Cost Index will rise as a result? Explain what Kendall€™s tau says and does not say.

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700 600 500 CO 400 8 ° 300 200. 35,000 40,000 45,000 50,000 55,000 60,000 Median Family Income