Summary for Simple Linear Model (model1)

Call:
lm(formula = chol ~ fat, data = olympic)

Residuals:
     Min       1Q   Median       3Q      Max 
-229.429  -73.073    7.498   85.641  161.300 

Coefficients:
             Estimate Std. Error t value Pr(>|t|)    
(Intercept) 515.70497   99.97886   5.158 6.60e-05 ***
fat           0.56919    0.05145  11.062 1.85e-09 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 115 on 18 degrees of freedom
Multiple R-squared:  0.8718,    Adjusted R-squared:  0.8646 
F-statistic: 122.4 on 1 and 18 DF,  p-value: 1.848e-09

Summary for Quadratic Model (model2)

Call:
lm(formula = chol ~ fat + fatsq, data = olympic)

Residuals:
   Min     1Q Median     3Q    Max 
-73.62 -21.84   5.29  20.34  48.20 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.159e+03  1.306e+02  -8.879 8.59e-08 ***
fat          2.344e+00  1.354e-01  17.311 3.12e-12 ***
fatsq       -4.390e-04  3.326e-05 -13.197 2.32e-10 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 35.28 on 17 degrees of freedom
Multiple R-squared:  0.9886,    Adjusted R-squared:  0.9873 
F-statistic: 736.9 on 2 and 17 DF,  p-value: < 2.2e-16