502 33 statistics 503 spring 2013 isu 33 a29 24 2 1 0

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Unformatted text preview: .5045 193.24 11.1861 - size 2 6.5014 195.24 11.2217 - speed 2 6.5706 195.31 11.2918 a1 = β0 +1 1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 PO4 + β - Chla 9.8610 198.60 16.5998 β7Statisticsτseason + τsize2013, ISU + ε, ε ∼ N (0, σ 2 ) Chla + 503, Spring + τspeed 31 31 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 ) B/2$"&39+%" a1 = β0 + β1 Cl + β2 oPO4 + β3 Chla + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) > lm3.a1 <- lm(a1 ~ size+speed+Cl+oPO4+Chla, data=algaet.imp[,c(1:8,9:12)]) > summary(lm3.a1) Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.27117 0.34771 15.159 < 2e-16 *** sizemedium 0.30435 0.20010 1.521 0.129931 sizesmall 0.49587 0.21949 2.259 0.025010 * speedlow 0.48159 0.25365 1.899 0.059127 . speedmedium -0.05512 0.17905 -0.308 0.758533 Cl -0.40833 0.16843 -2.424 0.016274 * oPO4 -0.68535 0.11669 -5.873 1.88e-08 *** Chla -0.54912 0.16078 -3.415 0.000779 *** Residual standard error: 1.003 on 190 degrees of freedom Multiple R-squared: 0.5143,! Adjusted R-squared: 0.4964 F-statistic: 28.74 on 7 and 190 DF, p-value: < 2.2e-16 Statistics 503, Spring 2013, ISU 32 32 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) B/2$"&39+%" a1 = β0 + β1 Cl + β2 oPO4 + β3 Chla + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) > lm3.a1 <- lm(a1 ~ size+speed+Cl+oPO4+Chla, data=algaet.imp[,c(1:8,9:12)]) > summary(lm3.a1) Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.27117 0.34771 15.159 < 2e-16 *** sizemedium 0.30435 0.20010 1.521 0.129931 sizesmall 0.49587 0.21949 2.259 0.025010 * speedlow 0.48159 0.25365 1.899 0.059127 . speedmedium -0.05512 0.17905 -0.308 0.758533 Cl -0.40833 0.16843 -2.424 0.016274 * oPO4 -0.68535 0.11669 -5.873 1.88e-08 *** Chla -0.54912 0.16078 -3.415 0.000779 *** Residual standard error: 1.003 on 190 degrees of freedom Multiple R-squared: 0.5143,! Adjusted R-squared: 0.4964 a1 = β0 + β 28.74 on 7 and 190 DF, p-value: < + β6 PO4 F-statistic:1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH42.2e-16 + ne + τsize lower, β7Statisticsτseason 0.01 2013, ISU + nothing! σ 2 ) Chla +O503, Spring + τspeed ε, ε ∼ N (0, 32 32 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 ) B/2$"&39+%" a1 = β0 + β1 Cl + β2 oPO4 + β3 Chla + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) > lm3.a1 <- lm(a1 ~ size+speed+Cl+oPO4+Chla, data=algaet.imp[,c(1:8,9:12)]) > summary(lm3.a1) Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.27117 0.34771 15.159 < 2e-16 *** sizemedium 0.30435 0.20010 1.521 0.129931 sizesmall 0.49587 0.21949 2.259 0.025010 * speedlow 0.48159 0.25365 1.899 0.059127 . speedmedium -0.05512 0.17905 -0.308 0.758533 Cl -0.40833 0.16843 -2.424 0.016274 * oPO4 -0.68535 0.11669 -5.873 1.88e-08 *** Chla -0.54912 0.16078 -3.415 0.000779 *** Residual standard error: 1.003 on 190 degrees of freedom Multiple R-squared: 0.5143,! Adjusted R-squared: 0.4964 F-statistic: 28.74 on 7 and 190 DF, p-value: < 2.2e-16 One 0.01 lower, Statistics 503, Spring 2013, ISU 1 nothing! 32 32 a1 = β0 + β1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH4 + β6 oPO4 + β7 PO4 + β8 Chla + τseason + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) B/2$"&39+%" a1 = β0 + β1 Cl + β2 oPO4 + β3 Chla + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) > lm3.a1 <- lm(a1 ~ size+speed+Cl+oPO4+Chla, data=algaet.imp[,c(1:8,9:12)]) > summary(lm3.a1) Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.27117 0.34771 15.159 < 2e-16 *** sizemedium 0.30435 0.20010 1.521 0.129931 sizesmall 0.49587 0.21949 2.259 0.025010 * speedlow 0.48159 0.25365 1.899 0.059127 . speedmedium -0.05512 0.17905 -0.308 0.758533 Cl -0.40833 0.16843 -2.424 0.016274 * oPO4 -0.68535 0.11669 -5.873 1.88e-08 *** Chla -0.54912 0.16078 -3.415 0.000779 *** Residual standard error: 1.003 on 190 degrees of freedom Multiple R-squared: 0.5143,! Adjusted R-squared: 0.4964 a1 = β0 + β 28.74 on 7 and 190 DF, p-value: < + β6 PO4 F-statistic:1 mxPH + β2 mnO2 + β3 Cl + β4 NO3 + β5 NH42.2e-16 + β7Statisticsτseason + τsize2013, ISU + ε, ε ∼ N (0, σ 2 ) Chla + 503, Spring + τspeed 32 32 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 ) B/2$"&39+%" a1 = β0 + β1 Cl + β2 oPO4 + β3 Chla + τsize + τspeed + ε, ε ∼ N (0, σ 2 ) > lm3.a1 <- lm(a1 ~ size+speed+Cl+oPO4+Chla, data=algaet.imp[,c(1:8,9:12)]) > summary(lm3.a1) Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 5.27117 0.34771 15.159 < 2e-16 *** sizemedium 0.30435 0.20010 1.521 0.129931 sizesmall 0.49587...
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