For the data below, determine the value of the linear correlation coefficient $\mathrm { r }$ between $\mathrm { y }$ and $\mathrm { x } ^ { 2 }$.
$$\begin{array} { c | c c c c c }
\mathrm { x } & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline \mathrm { y } & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$$
A) $0.873$
B) $0.990$
C) $0.985$
D) $0.913$

Question

For the data below, determine the value of the linear correlation coefficient $\mathrm { r }$ between $\mathrm { y }$ and $\mathrm { x } ^ { 2 }$.
$$\begin{array} { c | c c c c c } 
\mathrm { x } & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline \mathrm { y } & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$$
A) $0.873$
B) $0.990$
C) $0.985$
D) $0.913$

Quizplus · Accepted Answer

The linear 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 very strong positive linear relationship.

For the Data Below, Determine the Value of the Linear r\mathrm { r }r

For the Data Below, Determine the Value of the Linear $\mathrm { r }$