How to Extract R-Squared from lm() Function in R


You can use the following syntax to extract the R-squared and adjusted R-squared values from the lm() function in R:

#extract R-squared
summary(model)$adj.r.squared

#extract adjusted R-squared
summary(model)$adj.r.squared

The following example shows how to use this syntax in practice.

Example: Extract R-Squared from lm() in R

Suppose we fit the following multiple linear regression model in R:

#create data frame
df <- data.frame(rating=c(67, 75, 79, 85, 90, 96, 97),
                 points=c(8, 12, 16, 15, 22, 28, 24),
                 assists=c(4, 6, 6, 5, 3, 8, 7),
                 rebounds=c(1, 4, 3, 3, 2, 6, 7))

#fit multiple linear regression model
model <- lm(rating ~ points + assists + rebounds, data=df)

We can use the summary() function to view the entire summary of the regression model:

#view model summary
summary(model)

Call:
lm(formula = rating ~ points + assists + rebounds, data = df)

Residuals:
      1       2       3       4       5       6       7 
-1.5902 -1.7181  0.2413  4.8597 -1.0201 -0.6082 -0.1644 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)   
(Intercept)  66.4355     6.6932   9.926  0.00218 **
points        1.2152     0.2788   4.359  0.02232 * 
assists      -2.5968     1.6263  -1.597  0.20860   
rebounds      2.8202     1.6118   1.750  0.17847   
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 3.193 on 3 degrees of freedom
Multiple R-squared:  0.9589,	Adjusted R-squared:  0.9179 
F-statistic: 23.35 on 3 and 3 DF,  p-value: 0.01396

Note the values for the R-squared and adjusted R-squared of the model near the bottom of the output:

  • R-squared: 0.9589
  • Adjusted R-squared: 0.9179

To only extract the R-squared value for the model, we can use the following syntax:

#extract R-squared value of regression model
summary(model)$r.squared

[1] 0.9589274

And to only extract the adjusted R-squared value for the model, we can use the following syntax:

#extract adjusted R-squared value of regression model
summary(model)$adj.r.squared

[1] 0.9178548

Notice that these values for R-squared and adjusted R-squared match the values that we saw earlier in the entire regression output summary.

Additional Resources

The following tutorials explain how to perform other common tasks in R:

How to Perform Simple Linear Regression in R
How to Perform Multiple Linear Regression in R
How to Create a Residual Plot in R

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