Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table below shows the ages and weights (in pounds) of 9 randomly selected tennis coaches.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\text { Age, } \mathrm{x} & 33 & 36 & 40 & 43 & 46 & 48 & 52 & 56 & 60 \
\hline \text { Weight (pounds), } \mathrm{y} & 117 & 121 & 124 & 132 & 143 & 146 & 149 & 151 & 153 \
\hline
\end{array}$

A) $\mathrm { r } = 0.960$; linear relation exists
B) $r = 0.960$; no linear relation exists
C) $\mathrm { r } = 0.908$; no linear relation exists
D) $\mathrm { r } = 0.908$; linear relation exists

Question

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table below shows the ages and weights (in pounds) of 9 randomly selected tennis coaches.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}
\text { Age, } \mathrm{x} & 33 & 36 & 40 & 43 & 46 & 48 & 52 & 56 & 60 \
\hline \text { Weight (pounds), } \mathrm{y} & 117 & 121 & 124 & 132 & 143 & 146 & 149 & 151 & 153 \
\hline
\end{array}$

A) $\mathrm { r } = 0.960$; linear relation exists
B) $r = 0.960$; no linear relation exists
C) $\mathrm { r } = 0.908$; no linear relation exists
D) $\mathrm { r } = 0.908$; linear relation exists

Quizplus · Accepted Answer

The linear correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. A value of r close to 1 or -1 indicates a strong linear relationship. Given r = 0.960 is very close to 1, it suggests a strong positive linear relationship between age and weight of the tennis coaches, indicating that as age increases, weight also tends to increase.

Compute the Linear Correlation Coefficient Between the Two Variables and Determine