Statistics Examples

$\begin{array}{c} x & y \end{array}$

Step 1

The linear correlation coefficient measures the relationship between the paired values in a sample.

$r = \frac{n (\sum_{}^{} x y) - \sum_{}^{} x \sum_{}^{} y}{\sqrt{n (\sum_{}^{} x^{2}) - {(\sum_{}^{} x)}^{2}} \cdot \sqrt{n (\sum_{}^{} y^{2}) - {(\sum_{}^{} y)}^{2}}}$

Step 2

Sum up the $x$ values.

$\sum_{}^{} x =$

Step 3

Simplify the expression.

$\sum_{}^{} x = 0$

Step 4

Sum up the $y$ values.

$\sum_{}^{} y =$

Step 5

Simplify the expression.

$\sum_{}^{} y = 0$

Step 6

Sum up the values of $x \cdot y$ .

$\sum_{}^{} x y =$

Step 7

Simplify the expression.

$\sum_{}^{} x y = 0$

Step 8

Sum up the values of $x^{2}$ .

$\sum_{}^{} x^{2} =$

Step 9

Simplify the expression.

$\sum_{}^{} x^{2} = 0$

Step 10

Sum up the values of $y^{2}$ .

$\sum_{}^{} y^{2} =$

Step 11

Simplify the expression.

$\sum_{}^{} y^{2} = 0$

Step 12

Fill in the computed values.

$r = \frac{0 (0) + 0 \cdot 0}{\sqrt{0 (0) - {(0)}^{2}} \cdot \sqrt{0 (0) - {(0)}^{2}}}$

Step 13

Simplify the expression.

$r = N a N$