3215 f statistic 7223 on 15 and 182 df p value 2444e

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Unformatted text preview: 2055 24.010879 1.788 0.07537 . seasonspring 3.726978 4.137741 0.901 0.36892 seasonsummer 0.747597 4.020711 0.186 0.85270 seasonwinter 3.692955 3.865391 0.955 0.34065 sizemedium 3.263728 3.802051 0.858 0.39179 sizesmall 9.682140 4.179971 2.316 0.02166 * ... Statistics 503, Spring 2013, ISU 20 20 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) =9.#9>(&39+%" a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) > algae.torgo <- knnImputation(algae[-c(62, 199),], k=10) > lm.a1 <- lm(a1 ~ .,data=algae.torgo[,1:12]) > summary(lm.a1) ... Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 42.942055 24.010879 1.788 0.07537 . seasonspring 3.726978 4.137741 0.901 0.36892 seasonsummer 0.747597 4.020711 0.186 0.85270 seasonwinter 3.692955 3.865391 0.955 0.34065 sizemedium 3.263728 3.802051 0.858 0.39179 sizesmall 9.682140 4.179971 2.316 0.02166 * ... Statistics 503, Spring 2013, ISU 20 20 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Statistically significant model Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Statistically significant model Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) Residual standard error: 17.65 on 182 degrees of freedom Multiple R-squared: 0.3731,! Adjusted R-squared: 0.3215 F-statistic: 7.223 on 15 and 182 DF, p-value: 2.444e-12 Model explains less than 50% of the variation in a1, not good! Statistics 503, Spring 2013, ISU 21 21 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + =9.#9>(&39+%" β7 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2...
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This note was uploaded on 02/06/2014 for the course STAT 503 taught by Professor Staff during the Fall '08 term at Iowa State.

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