# R Get Standard Error, t- & p-Value from Regression (4 Examples)

In this article you’ll learn how to return linear regression stats such as standard errors or p-values in the R programming language.

## Example Data & Fitting Linear Model

```data(iris) # Loading iris flower data set head(iris) # Head of iris flower data set # Sepal.Length Sepal.Width Petal.Length Petal.Width Species # 1 5.1 3.5 1.4 0.2 setosa # 2 4.9 3.0 1.4 0.2 setosa # 3 4.7 3.2 1.3 0.2 setosa # 4 4.6 3.1 1.5 0.2 setosa # 5 5.0 3.6 1.4 0.2 setosa # 6 5.4 3.9 1.7 0.4 setosa```
```iris_smry <- summary(lm(Sepal.Length ~ ., iris)) # Summary of linear model iris_smry # Print summary to RStudio console # Call: # lm(formula = Sepal.Length ~ ., data = iris) # # Residuals: # Min 1Q Median 3Q Max # -0.79424 -0.21874 0.00899 0.20255 0.73103 # # Coefficients: # Estimate Std. Error t value Pr(>|t|) # (Intercept) 2.17127 0.27979 7.760 1.43e-12 *** # Sepal.Width 0.49589 0.08607 5.761 4.87e-08 *** # Petal.Length 0.82924 0.06853 12.101 < 2e-16 *** # Petal.Width -0.31516 0.15120 -2.084 0.03889 * # Speciesversicolor -0.72356 0.24017 -3.013 0.00306 ** # Speciesvirginica -1.02350 0.33373 -3.067 0.00258 ** # --- # Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 # # Residual standard error: 0.3068 on 144 degrees of freedom # Multiple R-squared: 0.8673, Adjusted R-squared: 0.8627 # F-statistic: 188.3 on 5 and 144 DF, p-value: < 2.2e-16```

## Example 1: Get Standard Errors of Linear Model

```iris_smry\$coefficients[ , 2] # Extract standard error in R # (Intercept) Sepal.Width Petal.Length Petal.Width Speciesversicolor Speciesvirginica # 0.27979415 0.08606992 0.06852765 0.15119575 0.24016894 0.33372630```

## Example 2: Get t-Values of Linear Model

```iris_smry\$coefficients[ , 3] # Extract t-value in R # (Intercept) Sepal.Width Petal.Length Petal.Width Speciesversicolor Speciesvirginica # 7.760227 5.761466 12.100867 -2.084418 -3.012721 -3.066878```

## Example 3: Get p-Values of Predictors of Linear Model

```iris_smry\$coefficients[ , 4] # Extract p-value in R # (Intercept) Sepal.Width Petal.Length Petal.Width Speciesversicolor Speciesvirginica # 1.429502e-12 4.867516e-08 1.073592e-23 3.888826e-02 3.059634e-03 2.584344e-03```

## Example 4: Get F-statistic p-Value of Linear Model

```pf(iris_smry\$fstatistic[1], # Extract F-statistic p-value in R iris_smry\$fstatistic[2], iris_smry\$fstatistic[3], lower.tail = FALSE) # 2.666942e-61```

## Further Resources & Related Articles

Here, you may find some further resources on topics such as extracting data, coding errors, matrices, and regression models: