The table shows the number of species added to the United States endangered species list each year for several years. A linear function can be used to model the data.Endangered SpeciesYear Number of Species Added2011 192012 512013 892014 662015 312016 742017 11Which correlation best describes the strength of the linear association between the number of species added to the United States endangered species list and the year?
Question
The table shows the number of species added to the United States endangered species list each year for several years. A linear function can be used to model the data.Endangered SpeciesYear Number of Species Added2011 192012 512013 892014 662015 312016 742017 11Which correlation best describes the strength of the linear association between the number of species added to the United States endangered species list and the year?
Solution
To determine the correlation between the number of species added to the United States endangered species list and the year, we need to look at the trend in the data.
From the data given, it's not clear that there is a strong linear association between the year and the number of species added. The numbers fluctuate from year to year without a clear increasing or decreasing trend.
For example, the number of species added increased from 19 in 2011 to 89 in 2013, but then decreased to 66 in 2014, increased to 74 in 2016, and then decreased dramatically to 11 in 2017.
Therefore, it's likely that the correlation is weak. However, to determine the exact strength and direction of the correlation, you would need to calculate the correlation coefficient using a statistical method such as Pearson's correlation.
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