Question

Question9 Current Attempt in Progress Use StatKey or other technology to find the correlation for the following data X 3 6289 Y 23 2.54 3.5 Click here to access StatKey Round your answer to three decimal places. The correlation isr

Answer 1

$\bar{x}$ = 5.6 , $\bar{y}$ = 3

Sxx = $\sum$ X² - n$\bar{x}$² = 194 - 5 * 5.6² = 37.2

Syy = $\sum$ y² - n $\bar{y}$² = 47.5 - 5 * 3² = 2.5

Syy = $\sum$ x y - n  $\bar{x}$$\bar{y}$ = 92.5 - 5 * 5.6 * 3 = 8.5

Correlation coefficient r = Sxy / sqrt ( Sxx * Syy)

= 8.5 / Sqrt( 37.2 * 2.5)

= 0.881