Question

Check image for problem...I know how to put it in a table in my calculator, its just the question about "What is the correlation coefficient for the regression line?"

Answer 1

some things you will want to sum up: x, x^2, xy, y^2, x, y

then theres some formula for the r

Answer 2

some other version of the formula amount to:

sum of (x-xbar)(y-ybar)
--------------------------------------------
sqrt(sum(x-xbar)(x-xbar)) sqrt(sum(y-ybar)(y-ybar))

\[\frac{\sum(x-\bar x)(y-\bar y)}{\sqrt{\sum(x-\bar x)(x-\bar x)}~\sqrt{\sum (y-\bar y)(y-\bar y)}}\]

or

\[\frac{\sum(x-\bar x)(y-\bar y)}{\sqrt{\sum(x-\bar x)^2}~\sqrt{\sum (y-\bar y)^2}}\]

or some shortcuts with the summations I opined about above