If i know the means and standard deviations of 2 sets of data, and i know the slope of the regression line, how can I find the correlation?
edit
Sample 1
SD: 12.37
Sample 2
SD: 7.00
Slope of regression line: 0.789
If i know the means and standard deviations of 2 sets of data, and i know the slope of the regression line, how can I find the correlation?
edit
Sample 1
SD: 12.37
Sample 2
SD: 7.00
Slope of regression line: 0.789
The formula is $$r = b_1 \frac{s_x}{s_y},$$ where $r$ is the correlation, $b_1$ is the slope, and $s_x$ and $s_y$ are the standard deviations of the independent $(x)$ and dependent $(y)$ variables, respectively.
A reference is Wikipedia's page on simple linear regression. See the formula for $\hat{\beta}$.