Interpret R-squared and cor in R
On Feb 15, 2013, at 9:26 PM, Janesh Devkota wrote:
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 ?
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David Winsemius, MD Alameda, CA, USA