The paired data below consist of the height of children (in cm) and their reading scores. $117.562.9128.967.9122.664.9131.471.9132.772.9136.575.9120.064.9139.176.9\begin{array} { c | c } \text { Height } ( \mathrm { cm } ) & \text { Reading Scores } \\\hline 117.5 & 62.9 \\128.9 & 67.9 \\122.6 & 64.9 \\131.4 & 71.9 \\132.7 & 72.9 \\136.5 & 75.9 \\120.0 & 64.9 \\139.1 & 76.9\end{array}$

A) 0.933
B) 0.883
C) 0.988
D) 0.978
E) 0.982

Question

The paired data below consist of the height of children (in cm) and their reading scores.

117.562.9128.967.9122.664.9131.471.9132.772.9136.575.9120.064.9139.176.9\begin{array} { c | c } \text { Height } ( \mathrm { cm } ) & \text { Reading Scores } \\\hline 117.5 & 62.9 \\128.9 & 67.9 \\122.6 & 64.9 \\131.4 & 71.9 \\132.7 & 72.9 \\136.5 & 75.9 \\120.0 & 64.9 \\139.1 & 76.9\end{array}

A) 0.933
B) 0.883
C) 0.988
D) 0.978
E) 0.982

Michael Baffour Akoto · Accepted Answer

Final Answer : E, Explanation :  The correct answer is E.The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It is calculated by dividing the covariance of the two variables by the product of their standard deviations. In this case, the correlation coefficient is 0.982, which indicates a strong positive linear relationship between height and reading scores.

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