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Given the data shown below, which of the following is the best approximation of the coefficient of determination (r^2)

Given the data shown below, which of the following is the best approximation of the-example-1

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The coefficient of determination can be found using the following formula:


r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2

Using a Statistics calculator or an online tool to work with the data we were given, we get

So the best aproximation of r² is 0.861

Given the data shown below, which of the following is the best approximation of the-example-1
User Chandra Malla
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