What is the value of R² for spending.per.capfrom Equation 2 in R, and how is this interpreted?

Adjusted R squared: 0.8114

data to help interpret:

> equation2 <- lm(spending.per.cap ~ gdp.thousands.per.cap + ineq10)

> summary(equation2)

Call:

lm(formula = spending.per.cap ~ gdp.thousands.per.cap + ineq10)

Residuals:

Min 1Q Median 3Q Max

-3.3448 -1.0467 -0.0041 1.4400 2.7717

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) 1.46915 1.15278 1.274 0.21198

gdp.thousands.per.cap 0.20846 0.02160 9.650 7.44e-11 ***

ineq10 -0.15840 0.05656-2.800 0.00871 **

---

Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 1.62 on 31 degrees of freedom

Multiple R-squared: 0.8228, Adjusted R-squared: 0.8114

F-statistic: 72 on 2 and 31 DF, p-value: 2.235e-12