Model Estimation and Fit

API vs. % FRPL

API vs. % FRPL (thinned)

Mean line

Residuals

Regression line

Residuals

Residuals

Residual Plot

\[api = \beta_0 + \beta_1 pctfrpl + \varepsilon\]

\[SS_{residual} = 289019.7764047\]

Residual Plot

\[api = \beta_0 + \beta_1 pctfrpl + \beta_2 pctblack + \varepsilon\]

\[SS_{residual} = 284768.955173\]

Residual Plot

\[api = \beta_0 + \beta_1 pctfrpl + \beta_2 pctblack + \beta_3 pctasian + \varepsilon\]

\[SS_{residual} = 264314.4808346\]

Residual Plot

\[api = \beta_0 + \beta_1 pctfrpl + \beta_2 pctblack + \beta_3 pctasian + \beta_4 pcthisp + \varepsilon\]

\[SS_{residual} = 253430.4785453\]