Hi I am trying to find the relationship between two variables.
First I fitted a linear model between two variables and I found the
following results:
Residual standard error: 0.03253 on 2498 degrees of freedom
Multiple R-squared: 0.5551, Adjusted R-squared: 0.5549
F-statistic: 3116 on 1 and 2498 DF, p-value: < 2.2e-16
Then I used the cor function to see the correlation between two variable
I get the following result
-0.7450344
How can we interpret the result based on R-squared and correlation ? From
the p-value we can see that there is very strong relationship between
variables as it is way less that 0.001
Can anyone kindly explain the difference between Multiple R squared,
adjusted R-squared and correlation and how to report these values while
writing a report ?
Thank you so much.
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