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4. (3pts) use the linear correlation coefficient given to determine the…

Question

  1. (3pts) use the linear correlation coefficient given to determine the coefficient of determination, r2. r = 0.66

Explanation:

Step1: Recall the formula

The coefficient of determination $R^{2}$ is the square of the linear - correlation coefficient $r$. The formula is $R^{2}=r^{2}$.

Step2: Substitute the value of $r$

Given $r = 0.66$, we substitute it into the formula: $R^{2}=(0.66)^{2}$.

Step3: Calculate the result

$(0.66)^{2}=0.66\times0.66 = 0.4356$.

Answer:

$0.4356$