Question

Suppose the line of best fit is being found for some points that have an r-value of 0.769. If the standard deviation of the x-coordinates is 5.508, what is the slope of the line to three decimal places?

Answer 1

r value i.e Correlation between x value and y value = 0.769

`A_(x)`=Standard deviation of the x-coordinate = 5.508

`A_(y)`=Standard deviation of the y-coordinate = ?=k

Slope of line is given by formula

If slope of line is m, then

m =
`r* ( A_(x))/(A _(y))`

m=
`0.769 * (k)/(5.508)`

Substitute the value of k, i.e Standard deviation of the y-coordinate and then you can get the slope of line to three decimal places.