For the data below, determine the value of the linear correlation coefficient r between y and X₂. $\begin{array}{r|rrrrr}
x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline y & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$

A) $0.913$
B) $0.985$
C) $0.990$
D) $0.873$

Question

For the data below, determine the value of the linear correlation coefficient r between y and X₂. $\begin{array}{r|rrrrr}
x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline y & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$

A) $0.913$
B) $0.985$
C) $0.990$
D) $0.873$

Quizplus · Accepted Answer

The linear correlation coefficient $ r $ measures the strength and direction of a linear relationship between two variables. Calculating $ r $ for the given data points results in a value of approximately 0.990, indicating a very strong positive linear relationship.

For the Data Below, Determine the Value of the Linear x1.22.74.46.69.5y1.64.79.924.539.0\begin{array}{r|rrrrr}x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline y & 1.6 & 4.7 & 9.9 & 24.5 & 39.0\end{array}xy​1.21.6​2.74.7​4.49.9​6.624.5​9.539.0​​

For the Data Below, Determine the Value of the Linear $\begin{array}{r|rrrrr}x & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline y & 1.6 & 4.7 & 9.9 & 24.5 & 39.0\end{array}$