Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear
correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance
level $\alpha$
-For the data below, determine the value of the linear correlation coefficient r between y and $x ^ { 2 }$ . $\begin{array}{c|ccccl}
\mathrm{x} & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline \mathrm{y} & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$

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

Question

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear
correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance
level $\alpha$
-For the data below, determine the value of the linear correlation coefficient r between y and $x ^ { 2 }$ . $\begin{array}{c|ccccl}
\mathrm{x} & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \
\hline \mathrm{y} & 1.6 & 4.7 & 9.9 & 24.5 & 39.0
\end{array}$

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

Quizplus · Accepted Answer

To find the linear correlation coefficient r, we need to calculate the covariance and the standard deviations of x and y. Using formulas, we get:

$\bar{x} = 4.88$
$\bar{y} = 15.54$
$s_x = 2.993$
$s_y = 14.003$
$\sum{(x - \bar{x})(y - \bar{y})} = 159.481$

Using these values, we can find r:

$r = \frac{\sum{(x - \bar{x})(y - \bar{y})}}{s_x s_y} = 0.990$

Therefore, the answer is C, with a correlation coefficient of 0.990.

Suppose You Will Perform a Test to Determine Whether There α\alphaα

Suppose You Will Perform a Test to Determine Whether There $\alpha$