# Interpreting summary function for lm model in R

What is the meaning of t value and Pr(>|t|) when using summary() function on linear regression model in R?

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept)                    10.1595     1.3603   7.469 1.11e-13 ***
log(var)                        0.3422     0.1597   2.143   0.0322 *


The column t value shows you the t-test associated with testing the significance of the parameter listed in the first column. For example the t value of 7.369 refers to the t-test of the (Intercept) 10.1595 divided by the standard error of that estimate 1.3603. Pr(>|t|) gives you the p-value for that t-test (the proportion of the t distribution at that df which is greater than the absolute value of your t statistic). 1.11e-13 is scientific notation. The asterisks following the Pr(>|t|) provide a visually accessible way of assessing whether the statistic met various $\alpha$ criterions.