Answer to Question #263424 in Statistics and Probability for Carol

Question

Plot a scatterplot with at least 5 data point, given that the correlation coefficient.

Answer 1

Scatterplot:

Formula to calculate correlation coefficient is as follows:

$r=\frac{n(\Sigma XY)-(\Sigma X)(\Sigma Y)}{\sqrt{[n\Sigma X^{2}-(X)^{2}][n\Sigma Y^{2}-(Y)^{2}]}}$

The calculation of correlation coefficient is shown in table below:

$r=\frac{8(832)-(43)(132)}{\sqrt{[(8*281)-(43*43)][8*2994)-(132*132)]}}=0.9758$

Correlation coefficient is close to 1 that means a strong and positive association exists between two variables.