For the data below, determine the value of the linear correlation coefficient $r$ between $y$ and $x ^ { 2 }$.
$\begin{array}{r|rrrrr}
\boldsymbol{x} & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline \boldsymbol{y} & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$

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 $x ^ { 2 }$.
$\begin{array}{r|rrrrr}
\boldsymbol{x} & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline \boldsymbol{y} & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$

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

Quizplus · Accepted Answer

The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. When calculating $r$ for $y$ and $x^2$, the value is $0.990$, indicating a strong positive linear relationship.

For the Data Below, Determine the Value of the Linear rrr

For the Data Below, Determine the Value of the Linear $r$