4a. Pencarian Koefisien Model Kebutuhan Ca

4a.i. Model Logistic \[Ca(gram/BB^{0.74}/hari)=\frac{Asym}{(1 + exp^{(-(Umur - \frac{xmid}{scal})})}\]

## 
## Formula: Ca ~ SSlogis(Umur, Asym, xmid, scal)
## 
## Parameters:
##       Estimate Std. Error t value Pr(>|t|)    
## Asym  0.630322   0.002854  220.89   <2e-16 ***
## xmid 17.097675   0.144148  118.61   <2e-16 ***
## scal  2.388761   0.126205   18.93   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.05728 on 552 degrees of freedom
## 
## Number of iterations to convergence: 12 
## Achieved convergence tolerance: 7.737e-06

4a.ii. Model Gompertz \[Ca(gram/BB^{0.74}/hari)=Asym\times exp^{(-b2b3^{Umur})}\]

## 
## Formula: Ca ~ SSgompertz(Umur, Asym, b2, b3)
## 
## Parameters:
##       Estimate Std. Error t value Pr(>|t|)    
## Asym 6.309e-01  2.969e-03 212.501  < 2e-16 ***
## b2   2.419e+02  8.050e+01   3.005  0.00278 ** 
## b3   7.091e-01  1.405e-02  50.462  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.05904 on 552 degrees of freedom
## 
## Number of iterations to convergence: 15 
## Achieved convergence tolerance: 7.699e-06

4a.iii. Model Weibull \[Ca(gram/BB^{0.74}/hari)=Asym-drop\times exp^{(-exp^{((lrc)Umur^{pwr}})}\]

## 
## Formula: Ca ~ SSweibull(Umur, Asym, Drop, lrc, pwr)
## 
## Parameters:
##        Estimate Std. Error t value Pr(>|t|)    
## Asym   0.625759   0.002552  245.17   <2e-16 ***
## Drop   0.554827   0.006745   82.26   <2e-16 ***
## lrc  -27.604207   2.168855  -12.73   <2e-16 ***
## pwr    9.463876   0.746427   12.68   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.05291 on 551 degrees of freedom
## 
## Number of iterations to convergence: 6 
## Achieved convergence tolerance: 9.778e-06

4b. Grafik Model Kebutuhan Ca

4c. Pencarian Koefisien Model Kebutuhan P

4c.i. Model Logistic \[P(gram/BB^{0.74}/hari)=\frac{Asym}{(1 + exp^{(-(x - \frac{xmid}{scal})})}\]

## 
## Formula: P ~ SSlogis(Umur, Asym, xmid, scal)
## 
## Parameters:
##      Estimate Std. Error t value Pr(>|t|)    
## Asym 0.157760   0.001306  120.84   <2e-16 ***
## xmid 9.260857   0.412343   22.46   <2e-16 ***
## scal 5.449032   0.421410   12.93   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.02529 on 552 degrees of freedom
## 
## Number of iterations to convergence: 17 
## Achieved convergence tolerance: 7.598e-06

4c.ii. Model Gompertz \[P(gram/BB^{0.74}/hari)=Asym\times exp^{(-b2b3^x)}\]

## 
## Formula: P ~ SSgompertz(Umur, Asym, b2, b3)
## 
## Parameters:
##      Estimate Std. Error t value Pr(>|t|)    
## Asym 0.157837   0.001364  115.68   <2e-16 ***
## b2   2.279784   0.226413   10.07   <2e-16 ***
## b3   0.869041   0.009244   94.01   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.02566 on 552 degrees of freedom
## 
## Number of iterations to convergence: 16 
## Achieved convergence tolerance: 6.731e-06

4c.iii. Model Weibull \[P(gram/BB^{0.74}/hari)=Asym-drop\times exp^{(-exp^{((lrc)Umur^{pwr}})}\]

## 
## Formula: P ~ SSweibull(Umur, Asym, Drop, lrc, pwr)
## 
## Parameters:
##        Estimate Std. Error t value Pr(>|t|)    
## Asym   0.157481   0.001219 129.202  < 2e-16 ***
## Drop   0.100344   0.004056  24.741  < 2e-16 ***
## lrc  -11.662665   1.920614  -6.072 2.35e-09 ***
## pwr    4.118005   0.673628   6.113 1.85e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.0248 on 551 degrees of freedom
## 
## Number of iterations to convergence: 18 
## Achieved convergence tolerance: 7.668e-06

4d. Grafik Model Kebutuhan P