Question

Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the nearest hundredth.
r equals fraction numerator 1 over denominator n minus 1 end fraction sum from blank to blank of open parentheses fraction numerator x minus x with bar on top over denominator s subscript x end fraction close parentheses open parentheses fraction numerator y minus y with bar on top over denominator s subscript y end fraction close parentheses

Answer 1

The correlation coefficient measures the relationship between the two variables

The correlation coefficient is 0.234

How to determine the correlation coefficient

The formula of correlation coefficient is:

$r = \frac{1}{n - 1} * \sum{(\frac{x - \bar x}{\sigma_x})*(\frac{y - \bar y}{\sigma_y})$

Using the dataset from the complete question, we have:

$r = \frac{1}{5 - 1} * 0.9375$

Evaluate the difference

$r = \frac{1}{4} * 0.9375$

Evaluate the quotient

$r = 0.234375$

Approximate

$r = 0.234$

Hence, the correlation coefficient is 0.234

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