DATA624 HW7
Chun San Yip
2023/04/02
In Kuhn and Johnson do problems 6.2 and 6.3
Ex 6.2 Permeability
6.2. Developing a model to predict permeability (see Sect. 1.4) could save significant resources for a pharmaceutical company, while at the same time more rapidly identifying molecules that have a sufficient permeability to become a drug: (a) Start R and use these commands to load the data:
The matrix fingerprints contains the 1,107 binary molecular predictors for the 165 compounds, while permeability contains permeability response.
library(fpp3)
library(ggplot2)
library(feasts)
library(AppliedPredictiveModeling)
library(caret)
#Quick glance at the data
data(permeability)- The fingerprint predictors indicate the presence or absence of substructures of a molecule and are often sparse meaning that relatively few of the molecules contain each substructure. Filter out the predictors that have low frequencies using the nearZeroVar function from the caret package. How many predictors are left for modeling?
rp<-nearZeroVar(fingerprints)
p<-ncol(fingerprints)-length(rp)
print(paste0("The number of predictors remain is ", p))## [1] "The number of predictors remain is 388"fingerprints_rm<-fingerprints[,-rp]- Split the data into a training and a test set, pre-process the data, and tune a PLS model. How many latent variables are optimal and what is the corresponding resampled estimate of R2?
#Find out if response is normally distributed, the predcitors only has zero and one value
hist(permeability)
#The data is right skewed and a log transformation is applied to reduce the skewness
permeability_log<-log(permeability+1)
hist(permeability_log)
set.seed(2388)
#Create fold
fold <- permeability_log %>%
createDataPartition(p = 0.9, list = FALSE, times = 1)
#fingerprints train and test
fingerprints_train <- fingerprints_rm[fold, ]
fingerprints_test <- fingerprints_rm[-fold, ]
#permeability train and test
permeability_train <- permeability_log[fold, ]
permeability_test <- permeability_log[-fold, ]
# PLS Model
perm_pls <- train(x = fingerprints_train, y = permeability_train, method = "pls", tuneLength = 20, trControl = trainControl(method = "cv"), preProcess = c("center", "scale"))
perm_pls## Partial Least Squares
##
## 149 samples
## 388 predictors
##
## Pre-processing: centered (388), scaled (388)
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 133, 133, 134, 135, 134, 134, ...
## Resampling results across tuning parameters:
##
## ncomp RMSE Rsquared MAE
## 1 0.9834866 0.3425149 0.8230903
## 2 0.8694640 0.4889010 0.6943260
## 3 0.8398118 0.5109197 0.6686674
## 4 0.8355191 0.5272772 0.6781950
## 5 0.8377646 0.5441898 0.6756909
## 6 0.8037971 0.5651775 0.6516784
## 7 0.7941404 0.5689334 0.6460064
## 8 0.7743515 0.5817993 0.6290056
## 9 0.7658526 0.5952909 0.6198797
## 10 0.7656320 0.6012757 0.6294516
## 11 0.7641580 0.6074249 0.6338536
## 12 0.7792496 0.5919958 0.6500108
## 13 0.7810455 0.5932753 0.6517639
## 14 0.7805957 0.5952843 0.6510297
## 15 0.7871625 0.5873364 0.6581613
## 16 0.8026205 0.5790510 0.6687830
## 17 0.8243601 0.5667555 0.6870353
## 18 0.8423750 0.5578288 0.6897024
## 19 0.8545529 0.5501137 0.6953913
## 20 0.8706772 0.5445718 0.7046875
##
## RMSE was used to select the optimal model using the smallest value.
## The final value used for the model was ncomp = 11.plot(perm_pls)
The corresponding R2 is 0.6074249.
- Predict the response for the test set. What is the test set estimate of R2?
perm_predict<-perm_pls|>predict(fingerprints_test)
defaultSummary(data.frame(obs=permeability_test, pred=perm_predict))## RMSE Rsquared MAE
## 0.9618134 0.3819105 0.8493573- Try building other models discussed in this chapter. Do any have better predictive performance?
#I really want to try the ElasticNet directly because it was raised in the class
library(glmnet)## 载入需要的程辑包：Matrix##
## 载入程辑包：'Matrix'## The following objects are masked from 'package:tidyr':
##
## expand, pack, unpack## Loaded glmnet 4.1-7#Run cv.glment function with a wide range of alphas with an increments of 0.05
models <- list()
for (i in 0:20) {
name <- paste0("alpha", i/20)
models[[name]] <-
cv.glmnet(fingerprints_train, permeability_train, type.measure="mse", alpha=i/20,
family="gaussian")
}
#Compute the mean square error for each model where lambda equals to lamd.1se.
results <- data.frame()
for (i in 0:20) {
name <- paste0("alpha", i/20)
## Use each model to predict 'y' given the Testing dataset
predicted <- predict(models[[name]],
s=models[[name]]$lambda.1se, newx=fingerprints_test)
## Calculate the Root Mean Squared Error...
rmse <- sqrt(mean((permeability_test - predicted)^2))
## Store the results
temp <- data.frame(alpha=i/20, rmse=rmse, name=name)
results <- rbind(results, temp)
}
#Output result
print(results)## alpha rmse name
## 1 0.00 1.1067615 alpha0
## 2 0.05 1.0235092 alpha0.05
## 3 0.10 0.9995812 alpha0.1
## 4 0.15 0.9971497 alpha0.15
## 5 0.20 0.9910345 alpha0.2
## 6 0.25 1.0053008 alpha0.25
## 7 0.30 0.9866482 alpha0.3
## 8 0.35 0.9880369 alpha0.35
## 9 0.40 0.9867030 alpha0.4
## 10 0.45 0.9922746 alpha0.45
## 11 0.50 0.9914048 alpha0.5
## 12 0.55 0.9913127 alpha0.55
## 13 0.60 0.9937386 alpha0.6
## 14 0.65 0.9925847 alpha0.65
## 15 0.70 0.9935477 alpha0.7
## 16 0.75 0.9936827 alpha0.75
## 17 0.80 1.0013713 alpha0.8
## 18 0.85 1.0069884 alpha0.85
## 19 0.90 1.0041195 alpha0.9
## 20 0.95 1.0071345 alpha0.95
## 21 1.00 1.0107843 alpha1plot(results$alpha, results$rmse)
#Predict using the model with the lowest mse, it changes from time to time (can be 0.3 or 0.35)
predicted_alpha35 <- predict(models[["alpha0.35"]],
s=models[[name]]$lambda.1se, newx=fingerprints_test)
rss<-sum((predicted_alpha35 - permeability_test)^2)
tss<-sum((permeability_test - mean(permeability_test))^2)
print(paste0("R2 from ElasticsNet is ", 1-rss/tss))## [1] "R2 from ElasticsNet is 0.302455695110738"The best fit is alpha = 0.3 with rmse of 0.9718131.
- Would you recommend any of your models to replace the permeability laboratory experiment? Unfortunately, the elasticnet model with log transformation on permeability is not better than the previous model of PLS. It is suggest to keep PLS.
Ex 6.3 Manufacturing Process
A chemical manufacturing process for a pharmaceutical product was discussed in Sect. 1.4. In this problem, the objective is to understand the relationship between biological measurements of the raw materials (predictors) measurements of the manufacturing process (predictors), and the response of product yield. Biological predictors cannot be changed but can be used to assess the quality of the raw material before processing. On the other hand, manufacturing process predictors can be changed in the manufacturing process. Improving product yield by 1 % will boost revenue by approximately one hundred thousand dollars per batch.
The matrix process Predictors contains the 57 predictors (12 describing the input biological material and 45 describing the process predictors) for the 176 manufacturing runs. yield contains the percent yield for each run. (a) Start R and use these commands to load the data:
data(ChemicalManufacturingProcess)- A small percentage of cells in the predictor set contain missing values. Use an imputation function to fill in these missing values (e.g., see Sect. 3.8).
ChemicalManufacturingProcess<-as.data.frame(ChemicalManufacturingProcess)
#Find out all the NAs
ChemicalManufacturingProcess|>
skimr::skim()|>
filter(n_missing>0)|>
arrange(desc(n_missing))|>
select(1:4,12)| Name | ChemicalManufacturingProc… |
| Number of rows | 176 |
| Number of columns | 58 |
| _______________________ | |
| Column type frequency: | |
| numeric | 28 |
| ________________________ | |
| Group variables | None |
Variable type: numeric
| skim_variable | n_missing | complete_rate | hist |
|---|---|---|---|
| ManufacturingProcess03 | 15 | 0.91 | ▁▃▆▇▁ |
| ManufacturingProcess11 | 10 | 0.94 | ▂▆▇▅▁ |
| ManufacturingProcess10 | 9 | 0.95 | ▂▇▆▂▁ |
| ManufacturingProcess25 | 5 | 0.97 | ▁▁▁▁▇ |
| ManufacturingProcess26 | 5 | 0.97 | ▁▁▁▁▇ |
| ManufacturingProcess27 | 5 | 0.97 | ▁▁▁▁▇ |
| ManufacturingProcess28 | 5 | 0.97 | ▅▁▁▁▇ |
| ManufacturingProcess29 | 5 | 0.97 | ▁▁▁▁▇ |
| ManufacturingProcess30 | 5 | 0.97 | ▁▁▁▅▇ |
| ManufacturingProcess31 | 5 | 0.97 | ▁▁▁▁▇ |
| ManufacturingProcess33 | 5 | 0.97 | ▁▃▇▅▁ |
| ManufacturingProcess34 | 5 | 0.97 | ▁▂▁▇▁ |
| ManufacturingProcess35 | 5 | 0.97 | ▁▂▇▅▂ |
| ManufacturingProcess36 | 5 | 0.97 | ▂▇▇▁▃ |
| ManufacturingProcess02 | 3 | 0.98 | ▂▁▁▁▇ |
| ManufacturingProcess06 | 2 | 0.99 | ▇▃▁▁▁ |
| ManufacturingProcess01 | 1 | 0.99 | ▁▁▁▅▇ |
| ManufacturingProcess04 | 1 | 0.99 | ▁▂▃▇▁ |
| ManufacturingProcess05 | 1 | 0.99 | ▁▇▁▁▁ |
| ManufacturingProcess07 | 1 | 0.99 | ▇▁▁▁▇ |
| ManufacturingProcess08 | 1 | 0.99 | ▆▁▁▁▇ |
| ManufacturingProcess12 | 1 | 0.99 | ▇▁▁▁▂ |
| ManufacturingProcess14 | 1 | 0.99 | ▁▅▇▂▁ |
| ManufacturingProcess22 | 1 | 0.99 | ▇▇▇▅▅ |
| ManufacturingProcess23 | 1 | 0.99 | ▇▆▇▆▇ |
| ManufacturingProcess24 | 1 | 0.99 | ▇▇▅▆▁ |
| ManufacturingProcess40 | 1 | 0.99 | ▇▁▁▁▂ |
| ManufacturingProcess41 | 1 | 0.99 | ▇▁▁▁▁ |
#The Impute package is not available, I can only use preProcess with KNN for imputation
preProcValues<-preProcess(ChemicalManufacturingProcess[,-1], method="knnImpute", k=5, knnSummary=mean)
impute_CMP<-predict(preProcValues, ChemicalManufacturingProcess[,-1], na.action=na.pass)
#The impute_CMP looks strange and I found out it's normalized, we need to de-normalize and get the original data back
procNames <- data.frame(col = names(preProcValues$mean), mean = preProcValues$mean, sd = preProcValues$std)
for(i in procNames$col){
impute_CMP[i] <- impute_CMP[i]*preProcValues$std[i]+preProcValues$mean[i]
}There are 28 columns with NAs.
- Split the data into a training and a test set, pre-process the data, and tune a model of your choice from this chapter. What is the optimal value of the performance metric?
library(corrplot)## corrplot 0.92 loadedhistogram(ChemicalManufacturingProcess$Yield)
set.seed(2744)
fold2 <- ChemicalManufacturingProcess$Yield %>%
createDataPartition(p = 0.9, list = FALSE, times = 1)
#Create training and testing set
bio_manu_train<-impute_CMP[fold2,]
bio_manu_test<-impute_CMP[-fold2,]
yield_train<-ChemicalManufacturingProcess[fold2,1]
yield_test<-ChemicalManufacturingProcess[-fold2,1]Yield looks quite normal. No transformation is required.
#Try the traditional linear regression
yb<-as.data.frame(cbind(yield_train,bio_manu_train))
lmod<-lm(yield_train~., yb)
summary(lmod)##
## Call:
## lm(formula = yield_train ~ ., data = yb)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.08907 -0.49455 -0.04214 0.51587 2.17012
##
## Coefficients: (1 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 5.556e+01 1.364e+02 0.407 0.684638
## BiologicalMaterial01 1.353e-01 3.589e-01 0.377 0.706943
## BiologicalMaterial02 -1.486e-01 1.319e-01 -1.126 0.262799
## BiologicalMaterial03 1.722e-01 2.624e-01 0.656 0.513224
## BiologicalMaterial04 -6.074e-02 5.838e-01 -0.104 0.917342
## BiologicalMaterial05 1.435e-01 1.173e-01 1.223 0.224040
## BiologicalMaterial06 3.600e-02 3.301e-01 0.109 0.913380
## BiologicalMaterial07 -1.538e+00 9.931e-01 -1.549 0.124443
## BiologicalMaterial08 5.792e-01 6.776e-01 0.855 0.394705
## BiologicalMaterial09 -1.047e+00 1.580e+00 -0.663 0.508918
## BiologicalMaterial10 4.690e-02 1.518e+00 0.031 0.975411
## BiologicalMaterial11 -1.062e-01 8.738e-02 -1.215 0.227060
## BiologicalMaterial12 4.388e-01 6.704e-01 0.655 0.514231
## ManufacturingProcess01 2.697e-02 9.798e-02 0.275 0.783688
## ManufacturingProcess02 2.937e-02 5.164e-02 0.569 0.570836
## ManufacturingProcess03 -3.571e+00 5.364e+00 -0.666 0.507075
## ManufacturingProcess04 7.587e-02 3.037e-02 2.498 0.014073 *
## ManufacturingProcess05 1.986e-03 3.923e-03 0.506 0.613743
## ManufacturingProcess06 2.538e-02 4.409e-02 0.576 0.566036
## ManufacturingProcess07 -1.922e-01 2.205e-01 -0.871 0.385597
## ManufacturingProcess08 8.371e-02 2.643e-01 0.317 0.752135
## ManufacturingProcess09 2.287e-01 1.894e-01 1.208 0.229926
## ManufacturingProcess10 2.135e-01 5.740e-01 0.372 0.710627
## ManufacturingProcess11 9.242e-01 8.320e-01 1.111 0.269247
## ManufacturingProcess12 8.163e-05 1.145e-04 0.713 0.477431
## ManufacturingProcess13 -2.621e-01 4.016e-01 -0.653 0.515518
## ManufacturingProcess14 5.583e-03 1.083e-02 0.515 0.607341
## ManufacturingProcess15 -6.653e-04 9.994e-03 -0.067 0.947052
## ManufacturingProcess16 2.539e-04 3.770e-04 0.673 0.502162
## ManufacturingProcess17 -6.009e-02 3.096e-01 -0.194 0.846500
## ManufacturingProcess18 5.945e-03 4.966e-03 1.197 0.234020
## ManufacturingProcess19 4.651e-03 8.441e-03 0.551 0.582833
## ManufacturingProcess20 -5.855e-03 5.208e-03 -1.124 0.263510
## ManufacturingProcess21 NA NA NA NA
## ManufacturingProcess22 1.905e-02 4.674e-02 0.408 0.684417
## ManufacturingProcess23 -9.087e-03 9.015e-02 -0.101 0.919909
## ManufacturingProcess24 -1.706e-02 2.526e-02 -0.675 0.500879
## ManufacturingProcess25 -3.951e-03 1.469e-02 -0.269 0.788449
## ManufacturingProcess26 8.151e-03 1.175e-02 0.693 0.489612
## ManufacturingProcess27 -9.864e-03 8.169e-03 -1.207 0.230010
## ManufacturingProcess28 -7.458e-02 3.381e-02 -2.206 0.029632 *
## ManufacturingProcess29 8.802e-01 9.843e-01 0.894 0.373307
## ManufacturingProcess30 -6.136e-01 6.481e-01 -0.947 0.345969
## ManufacturingProcess31 6.011e-02 1.199e-01 0.501 0.617260
## ManufacturingProcess32 2.852e-01 7.108e-02 4.012 0.000114 ***
## ManufacturingProcess33 -2.975e-01 1.341e-01 -2.218 0.028742 *
## ManufacturingProcess34 1.314e-01 2.823e+00 0.047 0.962951
## ManufacturingProcess35 -2.814e-02 1.833e-02 -1.535 0.127799
## ManufacturingProcess36 3.497e+02 3.170e+02 1.103 0.272530
## ManufacturingProcess37 -5.623e-01 3.029e-01 -1.856 0.066301 .
## ManufacturingProcess38 -1.751e-01 2.655e-01 -0.660 0.510987
## ManufacturingProcess39 7.404e-02 1.335e-01 0.555 0.580301
## ManufacturingProcess40 -1.079e+00 6.947e+00 -0.155 0.876868
## ManufacturingProcess41 3.507e-01 5.125e+00 0.068 0.945572
## ManufacturingProcess42 1.681e-01 2.228e-01 0.755 0.452224
## ManufacturingProcess43 2.044e-01 1.225e-01 1.669 0.098177 .
## ManufacturingProcess44 -9.304e-01 1.294e+00 -0.719 0.473670
## ManufacturingProcess45 1.042e+00 5.745e-01 1.815 0.072502 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 1.029 on 103 degrees of freedom
## Multiple R-squared: 0.7998, Adjusted R-squared: 0.6909
## F-statistic: 7.347 on 56 and 103 DF, p-value: < 2.2e-16#As there are way too many predictors, run the step function to minimize the predictor
step(lmod)## Start: AIC=52.6
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial10 + BiologicalMaterial11 + BiologicalMaterial12 +
## ManufacturingProcess01 + ManufacturingProcess02 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess05 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess08 + ManufacturingProcess09 +
## ManufacturingProcess10 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess15 +
## ManufacturingProcess16 + ManufacturingProcess17 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess21 +
## ManufacturingProcess22 + ManufacturingProcess23 + ManufacturingProcess24 +
## ManufacturingProcess25 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess31 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess34 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess40 + ManufacturingProcess41 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
##
## Step: AIC=52.6
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial10 + BiologicalMaterial11 + BiologicalMaterial12 +
## ManufacturingProcess01 + ManufacturingProcess02 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess05 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess08 + ManufacturingProcess09 +
## ManufacturingProcess10 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess15 +
## ManufacturingProcess16 + ManufacturingProcess17 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess22 +
## ManufacturingProcess23 + ManufacturingProcess24 + ManufacturingProcess25 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess31 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess34 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess40 +
## ManufacturingProcess41 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial10 1 0.0010 109.01 50.598
## - ManufacturingProcess34 1 0.0023 109.01 50.600
## - ManufacturingProcess15 1 0.0047 109.01 50.603
## - ManufacturingProcess41 1 0.0050 109.01 50.603
## - ManufacturingProcess23 1 0.0108 109.02 50.612
## - BiologicalMaterial04 1 0.0115 109.02 50.613
## - BiologicalMaterial06 1 0.0126 109.02 50.615
## - ManufacturingProcess40 1 0.0255 109.03 50.634
## - ManufacturingProcess17 1 0.0399 109.05 50.655
## - ManufacturingProcess25 1 0.0766 109.08 50.709
## - ManufacturingProcess01 1 0.0802 109.09 50.714
## - ManufacturingProcess08 1 0.1061 109.11 50.752
## - ManufacturingProcess10 1 0.1465 109.15 50.811
## - BiologicalMaterial01 1 0.1504 109.16 50.817
## - ManufacturingProcess22 1 0.1758 109.18 50.854
## - ManufacturingProcess31 1 0.2659 109.27 50.986
## - ManufacturingProcess05 1 0.2713 109.28 50.994
## - ManufacturingProcess14 1 0.2812 109.29 51.008
## - ManufacturingProcess19 1 0.3213 109.33 51.067
## - ManufacturingProcess39 1 0.3256 109.33 51.073
## - ManufacturingProcess02 1 0.3422 109.35 51.098
## - ManufacturingProcess06 1 0.3508 109.36 51.110
## - ManufacturingProcess13 1 0.4506 109.46 51.256
## - BiologicalMaterial12 1 0.4534 109.46 51.260
## - BiologicalMaterial03 1 0.4556 109.46 51.264
## - ManufacturingProcess38 1 0.4604 109.47 51.271
## - BiologicalMaterial09 1 0.4650 109.47 51.277
## - ManufacturingProcess03 1 0.4690 109.47 51.283
## - ManufacturingProcess16 1 0.4800 109.49 51.299
## - ManufacturingProcess24 1 0.4829 109.49 51.303
## - ManufacturingProcess26 1 0.5089 109.52 51.341
## - ManufacturingProcess12 1 0.5381 109.54 51.384
## - ManufacturingProcess44 1 0.5474 109.55 51.398
## - ManufacturingProcess42 1 0.6026 109.61 51.478
## - BiologicalMaterial08 1 0.7731 109.78 51.727
## - ManufacturingProcess07 1 0.8035 109.81 51.771
## - ManufacturingProcess29 1 0.8462 109.85 51.833
## - ManufacturingProcess30 1 0.9486 109.95 51.983
## - ManufacturingProcess36 1 1.2879 110.29 52.476
## - ManufacturingProcess11 1 1.3058 110.31 52.501
## - ManufacturingProcess20 1 1.3377 110.34 52.548
## - BiologicalMaterial02 1 1.3417 110.35 52.554
## <none> 109.01 52.596
## - ManufacturingProcess18 1 1.5166 110.52 52.807
## - ManufacturingProcess27 1 1.5430 110.55 52.845
## - ManufacturingProcess09 1 1.5436 110.55 52.846
## - BiologicalMaterial11 1 1.5629 110.57 52.874
## - BiologicalMaterial05 1 1.5835 110.59 52.904
## - ManufacturingProcess35 1 2.4943 111.50 54.216
## - BiologicalMaterial07 1 2.5394 111.55 54.281
## - ManufacturingProcess43 1 2.9476 111.95 54.865
## - ManufacturingProcess45 1 3.4846 112.49 55.631
## - ManufacturingProcess37 1 3.6459 112.65 55.860
## - ManufacturingProcess28 1 5.1485 114.15 57.980
## - ManufacturingProcess33 1 5.2070 114.21 58.062
## - ManufacturingProcess04 1 6.6037 115.61 60.007
## - ManufacturingProcess32 1 17.0350 126.04 73.829
##
## Step: AIC=50.6
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess01 +
## ManufacturingProcess02 + ManufacturingProcess03 + ManufacturingProcess04 +
## ManufacturingProcess05 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess08 + ManufacturingProcess09 + ManufacturingProcess10 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess15 + ManufacturingProcess16 +
## ManufacturingProcess17 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess22 + ManufacturingProcess23 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess31 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess34 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess38 +
## ManufacturingProcess39 + ManufacturingProcess40 + ManufacturingProcess41 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess34 1 0.0026 109.01 48.602
## - ManufacturingProcess41 1 0.0044 109.01 48.604
## - ManufacturingProcess15 1 0.0048 109.01 48.605
## - ManufacturingProcess23 1 0.0102 109.02 48.613
## - BiologicalMaterial06 1 0.0147 109.02 48.619
## - ManufacturingProcess40 1 0.0246 109.03 48.634
## - ManufacturingProcess17 1 0.0418 109.05 48.659
## - ManufacturingProcess25 1 0.0820 109.09 48.718
## - ManufacturingProcess01 1 0.0902 109.10 48.730
## - BiologicalMaterial04 1 0.0961 109.10 48.739
## - ManufacturingProcess08 1 0.1077 109.11 48.756
## - ManufacturingProcess10 1 0.1455 109.15 48.811
## - BiologicalMaterial01 1 0.1670 109.17 48.843
## - ManufacturingProcess22 1 0.1752 109.18 48.855
## - ManufacturingProcess31 1 0.2651 109.27 48.986
## - ManufacturingProcess05 1 0.2703 109.28 48.994
## - ManufacturingProcess14 1 0.2803 109.29 49.009
## - ManufacturingProcess19 1 0.3233 109.33 49.071
## - ManufacturingProcess39 1 0.3267 109.33 49.076
## - ManufacturingProcess06 1 0.3765 109.38 49.149
## - ManufacturingProcess02 1 0.3903 109.40 49.170
## - ManufacturingProcess13 1 0.4498 109.46 49.257
## - ManufacturingProcess38 1 0.4595 109.47 49.271
## - ManufacturingProcess03 1 0.4681 109.47 49.283
## - BiologicalMaterial12 1 0.4708 109.48 49.287
## - ManufacturingProcess16 1 0.4873 109.49 49.311
## - ManufacturingProcess24 1 0.4877 109.49 49.312
## - ManufacturingProcess26 1 0.5163 109.52 49.354
## - ManufacturingProcess44 1 0.5527 109.56 49.407
## - BiologicalMaterial03 1 0.5835 109.59 49.452
## - ManufacturingProcess12 1 0.5840 109.59 49.453
## - ManufacturingProcess42 1 0.6106 109.62 49.491
## - BiologicalMaterial08 1 0.7722 109.78 49.727
## - BiologicalMaterial09 1 0.7957 109.80 49.761
## - ManufacturingProcess07 1 0.8038 109.81 49.773
## - ManufacturingProcess29 1 0.8643 109.87 49.861
## - ManufacturingProcess30 1 0.9737 109.98 50.021
## - ManufacturingProcess36 1 1.2988 110.31 50.493
## - ManufacturingProcess11 1 1.3289 110.34 50.536
## <none> 109.01 50.598
## - ManufacturingProcess20 1 1.3834 110.39 50.616
## - BiologicalMaterial02 1 1.5591 110.57 50.870
## - ManufacturingProcess18 1 1.5763 110.58 50.895
## - BiologicalMaterial11 1 1.5776 110.58 50.897
## - ManufacturingProcess09 1 1.6213 110.63 50.960
## - ManufacturingProcess27 1 1.6568 110.66 51.011
## - BiologicalMaterial05 1 1.6985 110.70 51.071
## - ManufacturingProcess35 1 2.5197 111.53 52.254
## - BiologicalMaterial07 1 2.5925 111.60 52.358
## - ManufacturingProcess43 1 2.9490 111.96 52.869
## - ManufacturingProcess45 1 3.5023 112.51 53.658
## - ManufacturingProcess37 1 3.6857 112.69 53.918
## - ManufacturingProcess28 1 5.1476 114.15 55.980
## - ManufacturingProcess33 1 5.2341 114.24 56.102
## - ManufacturingProcess04 1 6.6575 115.66 58.083
## - ManufacturingProcess32 1 17.0344 126.04 71.830
##
## Step: AIC=48.6
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess01 +
## ManufacturingProcess02 + ManufacturingProcess03 + ManufacturingProcess04 +
## ManufacturingProcess05 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess08 + ManufacturingProcess09 + ManufacturingProcess10 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess15 + ManufacturingProcess16 +
## ManufacturingProcess17 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess22 + ManufacturingProcess23 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess31 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess40 + ManufacturingProcess41 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess15 1 0.0043 109.01 46.608
## - ManufacturingProcess41 1 0.0052 109.02 46.609
## - ManufacturingProcess23 1 0.0105 109.02 46.617
## - BiologicalMaterial06 1 0.0141 109.02 46.622
## - ManufacturingProcess40 1 0.0278 109.04 46.642
## - ManufacturingProcess17 1 0.0403 109.05 46.661
## - ManufacturingProcess25 1 0.0847 109.09 46.726
## - ManufacturingProcess01 1 0.0884 109.10 46.731
## - BiologicalMaterial04 1 0.0953 109.11 46.741
## - ManufacturingProcess08 1 0.1132 109.12 46.768
## - ManufacturingProcess10 1 0.1475 109.16 46.818
## - BiologicalMaterial01 1 0.1660 109.17 46.845
## - ManufacturingProcess22 1 0.1728 109.18 46.855
## - ManufacturingProcess31 1 0.2638 109.27 46.988
## - ManufacturingProcess05 1 0.2684 109.28 46.995
## - ManufacturingProcess14 1 0.2794 109.29 47.011
## - ManufacturingProcess19 1 0.3212 109.33 47.072
## - ManufacturingProcess39 1 0.3258 109.33 47.079
## - ManufacturingProcess06 1 0.3739 109.38 47.149
## - ManufacturingProcess02 1 0.3896 109.40 47.172
## - ManufacturingProcess13 1 0.4549 109.46 47.268
## - ManufacturingProcess38 1 0.4616 109.47 47.278
## - ManufacturingProcess03 1 0.4688 109.48 47.288
## - BiologicalMaterial12 1 0.4785 109.49 47.302
## - ManufacturingProcess16 1 0.4883 109.50 47.317
## - ManufacturingProcess24 1 0.4938 109.50 47.325
## - ManufacturingProcess26 1 0.5311 109.54 47.379
## - ManufacturingProcess44 1 0.5552 109.56 47.414
## - ManufacturingProcess12 1 0.5814 109.59 47.453
## - BiologicalMaterial03 1 0.5863 109.60 47.460
## - ManufacturingProcess42 1 0.6242 109.63 47.515
## - BiologicalMaterial08 1 0.7754 109.78 47.736
## - BiologicalMaterial09 1 0.7938 109.80 47.762
## - ManufacturingProcess07 1 0.8015 109.81 47.774
## - ManufacturingProcess29 1 0.8625 109.87 47.863
## - ManufacturingProcess30 1 0.9711 109.98 48.021
## - ManufacturingProcess36 1 1.3024 110.31 48.502
## - ManufacturingProcess11 1 1.3267 110.34 48.537
## <none> 109.01 48.602
## - ManufacturingProcess20 1 1.3815 110.39 48.617
## - BiologicalMaterial02 1 1.5570 110.57 48.871
## - ManufacturingProcess18 1 1.5747 110.58 48.896
## - BiologicalMaterial11 1 1.5801 110.59 48.904
## - ManufacturingProcess09 1 1.6212 110.63 48.964
## - ManufacturingProcess27 1 1.6695 110.68 49.034
## - BiologicalMaterial05 1 1.6958 110.70 49.071
## - ManufacturingProcess35 1 2.5177 111.53 50.255
## - BiologicalMaterial07 1 2.5906 111.60 50.359
## - ManufacturingProcess43 1 2.9511 111.96 50.876
## - ManufacturingProcess45 1 3.5015 112.51 51.660
## - ManufacturingProcess37 1 3.6831 112.69 51.918
## - ManufacturingProcess28 1 5.1816 114.19 54.032
## - ManufacturingProcess04 1 6.7187 115.73 56.171
## - ManufacturingProcess33 1 11.0858 120.09 62.098
## - ManufacturingProcess32 1 24.9394 133.95 79.565
##
## Step: AIC=46.61
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess01 +
## ManufacturingProcess02 + ManufacturingProcess03 + ManufacturingProcess04 +
## ManufacturingProcess05 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess08 + ManufacturingProcess09 + ManufacturingProcess10 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess17 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess22 + ManufacturingProcess23 + ManufacturingProcess24 +
## ManufacturingProcess25 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess31 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess40 +
## ManufacturingProcess41 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess41 1 0.0046 109.02 44.615
## - ManufacturingProcess23 1 0.0096 109.02 44.622
## - BiologicalMaterial06 1 0.0133 109.03 44.627
## - ManufacturingProcess40 1 0.0266 109.04 44.647
## - ManufacturingProcess17 1 0.0368 109.05 44.662
## - ManufacturingProcess25 1 0.0806 109.09 44.726
## - ManufacturingProcess01 1 0.0874 109.10 44.736
## - BiologicalMaterial04 1 0.0970 109.11 44.750
## - ManufacturingProcess08 1 0.1148 109.13 44.776
## - ManufacturingProcess10 1 0.1518 109.17 44.831
## - BiologicalMaterial01 1 0.1656 109.18 44.851
## - ManufacturingProcess22 1 0.1688 109.18 44.855
## - ManufacturingProcess31 1 0.2638 109.28 44.995
## - ManufacturingProcess05 1 0.2647 109.28 44.996
## - ManufacturingProcess39 1 0.3244 109.34 45.083
## - ManufacturingProcess06 1 0.3702 109.38 45.150
## - ManufacturingProcess19 1 0.3809 109.39 45.166
## - ManufacturingProcess02 1 0.4008 109.41 45.195
## - ManufacturingProcess03 1 0.4691 109.48 45.295
## - ManufacturingProcess13 1 0.4733 109.49 45.301
## - BiologicalMaterial12 1 0.4750 109.49 45.304
## - ManufacturingProcess38 1 0.4982 109.51 45.337
## - ManufacturingProcess16 1 0.5105 109.52 45.355
## - ManufacturingProcess14 1 0.5178 109.53 45.366
## - ManufacturingProcess44 1 0.5517 109.56 45.416
## - ManufacturingProcess26 1 0.5587 109.57 45.426
## - ManufacturingProcess24 1 0.5588 109.57 45.426
## - ManufacturingProcess12 1 0.5864 109.60 45.466
## - BiologicalMaterial03 1 0.5960 109.61 45.480
## - ManufacturingProcess42 1 0.6256 109.64 45.524
## - BiologicalMaterial08 1 0.7762 109.79 45.743
## - BiologicalMaterial09 1 0.7962 109.81 45.772
## - ManufacturingProcess07 1 0.8162 109.83 45.801
## - ManufacturingProcess29 1 0.9138 109.93 45.944
## - ManufacturingProcess30 1 0.9669 109.98 46.021
## - ManufacturingProcess36 1 1.3115 110.33 46.521
## <none> 109.01 46.608
## - ManufacturingProcess20 1 1.3965 110.41 46.645
## - ManufacturingProcess11 1 1.4671 110.48 46.747
## - BiologicalMaterial02 1 1.5685 110.58 46.894
## - BiologicalMaterial11 1 1.5794 110.59 46.909
## - ManufacturingProcess18 1 1.5843 110.60 46.916
## - ManufacturingProcess09 1 1.6231 110.64 46.973
## - ManufacturingProcess27 1 1.6696 110.68 47.040
## - BiologicalMaterial05 1 1.6917 110.70 47.072
## - ManufacturingProcess35 1 2.5150 111.53 48.257
## - BiologicalMaterial07 1 2.7025 111.72 48.526
## - ManufacturingProcess43 1 2.9487 111.96 48.878
## - ManufacturingProcess45 1 3.5016 112.52 49.666
## - ManufacturingProcess37 1 3.7297 112.74 49.990
## - ManufacturingProcess28 1 5.2755 114.29 52.169
## - ManufacturingProcess04 1 6.7951 115.81 54.283
## - ManufacturingProcess33 1 11.1679 120.18 60.213
## - ManufacturingProcess32 1 24.9378 133.95 77.569
##
## Step: AIC=44.61
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess01 +
## ManufacturingProcess02 + ManufacturingProcess03 + ManufacturingProcess04 +
## ManufacturingProcess05 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess08 + ManufacturingProcess09 + ManufacturingProcess10 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess17 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess22 + ManufacturingProcess23 + ManufacturingProcess24 +
## ManufacturingProcess25 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess31 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess40 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess23 1 0.0092 109.03 42.628
## - BiologicalMaterial06 1 0.0138 109.03 42.635
## - ManufacturingProcess17 1 0.0361 109.05 42.668
## - ManufacturingProcess40 1 0.0746 109.09 42.724
## - ManufacturingProcess25 1 0.0784 109.10 42.730
## - ManufacturingProcess01 1 0.0864 109.11 42.742
## - BiologicalMaterial04 1 0.0946 109.11 42.753
## - ManufacturingProcess08 1 0.1175 109.14 42.787
## - ManufacturingProcess10 1 0.1526 109.17 42.839
## - BiologicalMaterial01 1 0.1740 109.19 42.870
## - ManufacturingProcess22 1 0.1800 109.20 42.879
## - ManufacturingProcess31 1 0.2661 109.28 43.005
## - ManufacturingProcess05 1 0.2765 109.30 43.020
## - ManufacturingProcess39 1 0.3261 109.34 43.093
## - ManufacturingProcess06 1 0.3700 109.39 43.157
## - ManufacturingProcess02 1 0.3966 109.42 43.196
## - ManufacturingProcess19 1 0.4144 109.43 43.222
## - ManufacturingProcess13 1 0.4686 109.49 43.301
## - BiologicalMaterial12 1 0.4784 109.50 43.315
## - ManufacturingProcess38 1 0.5163 109.53 43.371
## - ManufacturingProcess16 1 0.5179 109.54 43.373
## - ManufacturingProcess14 1 0.5186 109.54 43.374
## - ManufacturingProcess03 1 0.5466 109.56 43.415
## - ManufacturingProcess26 1 0.5541 109.57 43.426
## - ManufacturingProcess44 1 0.5546 109.57 43.427
## - ManufacturingProcess24 1 0.5547 109.57 43.427
## - BiologicalMaterial03 1 0.5917 109.61 43.481
## - ManufacturingProcess42 1 0.6260 109.64 43.531
## - ManufacturingProcess12 1 0.6679 109.69 43.592
## - BiologicalMaterial08 1 0.7715 109.79 43.743
## - BiologicalMaterial09 1 0.7929 109.81 43.774
## - ManufacturingProcess07 1 0.8397 109.86 43.842
## - ManufacturingProcess29 1 0.9100 109.93 43.945
## - ManufacturingProcess30 1 0.9626 109.98 44.021
## - ManufacturingProcess36 1 1.3513 110.37 44.586
## <none> 109.02 44.615
## - ManufacturingProcess20 1 1.4714 110.49 44.760
## - ManufacturingProcess11 1 1.5333 110.55 44.849
## - BiologicalMaterial02 1 1.5785 110.60 44.915
## - BiologicalMaterial11 1 1.5814 110.60 44.919
## - ManufacturingProcess09 1 1.6194 110.64 44.974
## - ManufacturingProcess27 1 1.6657 110.68 45.041
## - ManufacturingProcess18 1 1.6713 110.69 45.049
## - BiologicalMaterial05 1 1.7529 110.77 45.167
## - ManufacturingProcess35 1 2.5469 111.56 46.310
## - BiologicalMaterial07 1 2.7523 111.77 46.604
## - ManufacturingProcess43 1 2.9784 112.00 46.927
## - ManufacturingProcess45 1 3.4978 112.52 47.668
## - ManufacturingProcess37 1 3.7292 112.75 47.996
## - ManufacturingProcess28 1 5.9983 115.02 51.184
## - ManufacturingProcess04 1 6.8642 115.88 52.384
## - ManufacturingProcess33 1 11.2057 120.22 58.269
## - ManufacturingProcess32 1 25.0818 134.10 75.746
##
## Step: AIC=42.63
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial06 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess01 +
## ManufacturingProcess02 + ManufacturingProcess03 + ManufacturingProcess04 +
## ManufacturingProcess05 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess08 + ManufacturingProcess09 + ManufacturingProcess10 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess17 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess22 + ManufacturingProcess24 + ManufacturingProcess25 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess31 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess38 +
## ManufacturingProcess39 + ManufacturingProcess40 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial06 1 0.0107 109.04 40.644
## - ManufacturingProcess17 1 0.0381 109.07 40.684
## - ManufacturingProcess25 1 0.0745 109.10 40.738
## - ManufacturingProcess40 1 0.0745 109.10 40.738
## - ManufacturingProcess01 1 0.0822 109.11 40.749
## - BiologicalMaterial04 1 0.1021 109.13 40.778
## - ManufacturingProcess08 1 0.1188 109.15 40.802
## - ManufacturingProcess10 1 0.1538 109.18 40.854
## - BiologicalMaterial01 1 0.1737 109.20 40.883
## - ManufacturingProcess22 1 0.2388 109.27 40.978
## - ManufacturingProcess31 1 0.2571 109.28 41.005
## - ManufacturingProcess05 1 0.2925 109.32 41.057
## - ManufacturingProcess39 1 0.3183 109.35 41.095
## - ManufacturingProcess06 1 0.3610 109.39 41.157
## - ManufacturingProcess02 1 0.3892 109.42 41.198
## - ManufacturingProcess19 1 0.4110 109.44 41.230
## - ManufacturingProcess13 1 0.4707 109.50 41.317
## - BiologicalMaterial12 1 0.4960 109.52 41.354
## - ManufacturingProcess38 1 0.5076 109.53 41.371
## - ManufacturingProcess16 1 0.5136 109.54 41.380
## - ManufacturingProcess14 1 0.5176 109.55 41.386
## - ManufacturingProcess03 1 0.5404 109.57 41.419
## - ManufacturingProcess26 1 0.5485 109.58 41.431
## - ManufacturingProcess44 1 0.5809 109.61 41.478
## - BiologicalMaterial03 1 0.6455 109.67 41.573
## - ManufacturingProcess42 1 0.6563 109.68 41.589
## - ManufacturingProcess12 1 0.6672 109.69 41.604
## - BiologicalMaterial08 1 0.8286 109.86 41.840
## - BiologicalMaterial09 1 0.8375 109.86 41.853
## - ManufacturingProcess07 1 0.8568 109.88 41.881
## - ManufacturingProcess29 1 0.9015 109.93 41.946
## - ManufacturingProcess24 1 0.9015 109.93 41.946
## - ManufacturingProcess30 1 0.9590 109.99 42.029
## - ManufacturingProcess36 1 1.3712 110.40 42.628
## <none> 109.03 42.628
## - ManufacturingProcess20 1 1.4776 110.50 42.782
## - ManufacturingProcess11 1 1.5307 110.56 42.859
## - BiologicalMaterial02 1 1.6105 110.64 42.974
## - BiologicalMaterial11 1 1.6185 110.65 42.986
## - ManufacturingProcess09 1 1.6315 110.66 43.005
## - ManufacturingProcess27 1 1.6576 110.69 43.042
## - ManufacturingProcess18 1 1.6761 110.70 43.069
## - BiologicalMaterial05 1 1.7650 110.79 43.198
## - ManufacturingProcess35 1 2.6364 111.66 44.451
## - BiologicalMaterial07 1 2.7485 111.78 44.612
## - ManufacturingProcess43 1 2.9895 112.02 44.956
## - ManufacturingProcess45 1 3.5067 112.53 45.693
## - ManufacturingProcess37 1 3.7628 112.79 46.057
## - ManufacturingProcess28 1 6.1286 115.16 49.378
## - ManufacturingProcess04 1 6.9200 115.95 50.474
## - ManufacturingProcess33 1 11.6127 120.64 56.822
## - ManufacturingProcess32 1 25.3708 134.40 74.101
##
## Step: AIC=40.64
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial07 +
## BiologicalMaterial08 + BiologicalMaterial09 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess01 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess08 +
## ManufacturingProcess09 + ManufacturingProcess10 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess17 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess22 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess31 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess40 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess17 1 0.0382 109.08 38.700
## - ManufacturingProcess25 1 0.0679 109.11 38.743
## - ManufacturingProcess01 1 0.0788 109.12 38.760
## - ManufacturingProcess40 1 0.0832 109.12 38.766
## - BiologicalMaterial04 1 0.1056 109.14 38.799
## - ManufacturingProcess08 1 0.1179 109.16 38.817
## - ManufacturingProcess10 1 0.1455 109.18 38.857
## - BiologicalMaterial01 1 0.1889 109.23 38.921
## - ManufacturingProcess22 1 0.2282 109.27 38.978
## - ManufacturingProcess31 1 0.2485 109.29 39.008
## - ManufacturingProcess05 1 0.2856 109.32 39.062
## - ManufacturingProcess39 1 0.3292 109.37 39.126
## - ManufacturingProcess06 1 0.3612 109.40 39.173
## - ManufacturingProcess19 1 0.4014 109.44 39.232
## - ManufacturingProcess02 1 0.4168 109.45 39.254
## - ManufacturingProcess13 1 0.4657 109.50 39.326
## - ManufacturingProcess16 1 0.5033 109.54 39.381
## - ManufacturingProcess14 1 0.5070 109.55 39.386
## - ManufacturingProcess38 1 0.5077 109.55 39.387
## - ManufacturingProcess03 1 0.5357 109.57 39.428
## - ManufacturingProcess26 1 0.5419 109.58 39.437
## - ManufacturingProcess44 1 0.6218 109.66 39.554
## - ManufacturingProcess42 1 0.6889 109.73 39.652
## - ManufacturingProcess12 1 0.6998 109.74 39.668
## - BiologicalMaterial12 1 0.8018 109.84 39.816
## - BiologicalMaterial08 1 0.8440 109.88 39.878
## - ManufacturingProcess07 1 0.8810 109.92 39.932
## - ManufacturingProcess29 1 0.9377 109.98 40.014
## - ManufacturingProcess30 1 0.9483 109.99 40.029
## - ManufacturingProcess24 1 0.9882 110.03 40.087
## <none> 109.04 40.644
## - ManufacturingProcess36 1 1.3762 110.41 40.651
## - ManufacturingProcess20 1 1.4684 110.51 40.784
## - ManufacturingProcess11 1 1.5209 110.56 40.860
## - BiologicalMaterial11 1 1.6148 110.65 40.996
## - ManufacturingProcess27 1 1.6469 110.69 41.043
## - ManufacturingProcess18 1 1.6659 110.70 41.070
## - ManufacturingProcess09 1 1.7535 110.79 41.196
## - BiologicalMaterial02 1 1.7559 110.79 41.200
## - BiologicalMaterial05 1 1.7788 110.82 41.233
## - BiologicalMaterial09 1 2.1355 111.17 41.747
## - ManufacturingProcess35 1 2.6313 111.67 42.459
## - BiologicalMaterial07 1 2.9066 111.94 42.853
## - ManufacturingProcess43 1 2.9826 112.02 42.962
## - BiologicalMaterial03 1 3.3372 112.38 43.467
## - ManufacturingProcess45 1 3.5116 112.55 43.716
## - ManufacturingProcess37 1 3.8231 112.86 44.158
## - ManufacturingProcess28 1 6.4543 115.49 47.845
## - ManufacturingProcess04 1 6.9495 115.99 48.530
## - ManufacturingProcess33 1 11.6023 120.64 54.823
## - ManufacturingProcess32 1 25.3721 134.41 72.116
##
## Step: AIC=38.7
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial07 +
## BiologicalMaterial08 + BiologicalMaterial09 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess01 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess08 +
## ManufacturingProcess09 + ManufacturingProcess10 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess22 + ManufacturingProcess24 +
## ManufacturingProcess25 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess31 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess40 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess01 1 0.0690 109.14 36.801
## - ManufacturingProcess40 1 0.0765 109.15 36.812
## - ManufacturingProcess25 1 0.0941 109.17 36.838
## - ManufacturingProcess08 1 0.1207 109.20 36.877
## - BiologicalMaterial04 1 0.1371 109.21 36.901
## - ManufacturingProcess10 1 0.1378 109.21 36.902
## - BiologicalMaterial01 1 0.2002 109.28 36.993
## - ManufacturingProcess22 1 0.2396 109.32 37.051
## - ManufacturingProcess31 1 0.2621 109.34 37.084
## - ManufacturingProcess05 1 0.2825 109.36 37.114
## - ManufacturingProcess06 1 0.3337 109.41 37.189
## - ManufacturingProcess39 1 0.3556 109.43 37.221
## - ManufacturingProcess19 1 0.4195 109.50 37.314
## - ManufacturingProcess38 1 0.5412 109.62 37.492
## - ManufacturingProcess02 1 0.5414 109.62 37.492
## - ManufacturingProcess03 1 0.5669 109.64 37.529
## - ManufacturingProcess44 1 0.6032 109.68 37.582
## - ManufacturingProcess26 1 0.6034 109.68 37.583
## - ManufacturingProcess12 1 0.6681 109.75 37.677
## - ManufacturingProcess42 1 0.6682 109.75 37.677
## - ManufacturingProcess14 1 0.6933 109.77 37.714
## - ManufacturingProcess16 1 0.7113 109.79 37.740
## - BiologicalMaterial12 1 0.7922 109.87 37.858
## - BiologicalMaterial08 1 0.8058 109.88 37.878
## - ManufacturingProcess29 1 0.9044 109.98 38.021
## - ManufacturingProcess07 1 0.9050 109.98 38.022
## - ManufacturingProcess30 1 0.9102 109.99 38.030
## - ManufacturingProcess24 1 0.9512 110.03 38.089
## - ManufacturingProcess36 1 1.3565 110.43 38.678
## <none> 109.08 38.700
## - ManufacturingProcess20 1 1.4373 110.51 38.795
## - ManufacturingProcess11 1 1.5576 110.63 38.969
## - BiologicalMaterial11 1 1.5867 110.66 39.011
## - ManufacturingProcess27 1 1.6108 110.69 39.046
## - ManufacturingProcess18 1 1.6358 110.71 39.082
## - ManufacturingProcess09 1 1.7303 110.81 39.218
## - BiologicalMaterial02 1 1.7439 110.82 39.238
## - BiologicalMaterial05 1 1.7765 110.85 39.285
## - ManufacturingProcess13 1 1.8010 110.88 39.320
## - BiologicalMaterial09 1 2.1138 111.19 39.771
## - ManufacturingProcess35 1 2.6259 111.70 40.506
## - BiologicalMaterial07 1 2.9332 112.01 40.946
## - ManufacturingProcess43 1 2.9702 112.05 40.999
## - ManufacturingProcess45 1 3.4748 112.55 41.718
## - BiologicalMaterial03 1 3.5046 112.58 41.760
## - ManufacturingProcess37 1 3.7911 112.87 42.167
## - ManufacturingProcess28 1 6.6792 115.76 46.209
## - ManufacturingProcess04 1 6.9895 116.07 46.637
## - ManufacturingProcess33 1 11.8853 120.96 53.248
## - ManufacturingProcess32 1 26.2221 135.30 71.170
##
## Step: AIC=36.8
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial04 + BiologicalMaterial05 + BiologicalMaterial07 +
## BiologicalMaterial08 + BiologicalMaterial09 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess02 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess05 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess08 + ManufacturingProcess09 +
## ManufacturingProcess10 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess22 + ManufacturingProcess24 + ManufacturingProcess25 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess31 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess38 +
## ManufacturingProcess39 + ManufacturingProcess40 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial04 1 0.1065 109.25 34.957
## - ManufacturingProcess08 1 0.1086 109.25 34.960
## - ManufacturingProcess40 1 0.1189 109.26 34.975
## - ManufacturingProcess25 1 0.1389 109.28 35.005
## - ManufacturingProcess10 1 0.1510 109.30 35.022
## - BiologicalMaterial01 1 0.1541 109.30 35.027
## - ManufacturingProcess31 1 0.2842 109.43 35.217
## - ManufacturingProcess22 1 0.2940 109.44 35.232
## - ManufacturingProcess06 1 0.3069 109.45 35.250
## - ManufacturingProcess39 1 0.3237 109.47 35.275
## - ManufacturingProcess05 1 0.3338 109.48 35.290
## - ManufacturingProcess19 1 0.4139 109.56 35.407
## - ManufacturingProcess38 1 0.4725 109.62 35.492
## - ManufacturingProcess02 1 0.5200 109.67 35.562
## - ManufacturingProcess03 1 0.5978 109.74 35.675
## - ManufacturingProcess44 1 0.6482 109.79 35.749
## - ManufacturingProcess42 1 0.6609 109.81 35.767
## - ManufacturingProcess16 1 0.7135 109.86 35.844
## - ManufacturingProcess14 1 0.7264 109.87 35.863
## - BiologicalMaterial08 1 0.7502 109.90 35.897
## - ManufacturingProcess12 1 0.7602 109.91 35.912
## - ManufacturingProcess26 1 0.7682 109.91 35.923
## - BiologicalMaterial12 1 0.7927 109.94 35.959
## - ManufacturingProcess07 1 0.8481 109.99 36.040
## - ManufacturingProcess30 1 0.8904 110.04 36.101
## - ManufacturingProcess29 1 0.8963 110.04 36.110
## - ManufacturingProcess24 1 0.9269 110.07 36.154
## - ManufacturingProcess20 1 1.3686 110.51 36.795
## <none> 109.14 36.801
## - ManufacturingProcess36 1 1.4013 110.55 36.842
## - ManufacturingProcess11 1 1.5241 110.67 37.020
## - ManufacturingProcess18 1 1.5668 110.71 37.082
## - BiologicalMaterial11 1 1.6401 110.79 37.188
## - ManufacturingProcess09 1 1.6716 110.82 37.233
## - ManufacturingProcess27 1 1.6788 110.82 37.243
## - BiologicalMaterial02 1 1.7580 110.90 37.358
## - BiologicalMaterial05 1 1.8686 111.01 37.517
## - ManufacturingProcess13 1 1.9340 111.08 37.611
## - BiologicalMaterial09 1 2.0512 111.20 37.780
## - BiologicalMaterial07 1 3.0072 112.15 39.150
## - ManufacturingProcess35 1 3.1154 112.26 39.304
## - ManufacturingProcess43 1 3.3505 112.50 39.639
## - ManufacturingProcess45 1 3.4066 112.55 39.719
## - BiologicalMaterial03 1 3.7401 112.89 40.192
## - ManufacturingProcess37 1 3.9743 113.12 40.524
## - ManufacturingProcess28 1 6.7375 115.88 44.385
## - ManufacturingProcess04 1 9.9437 119.09 48.752
## - ManufacturingProcess33 1 11.8401 120.99 51.280
## - ManufacturingProcess32 1 26.2528 135.40 69.287
##
## Step: AIC=34.96
## yield_train ~ BiologicalMaterial01 + BiologicalMaterial02 + BiologicalMaterial03 +
## BiologicalMaterial05 + BiologicalMaterial07 + BiologicalMaterial08 +
## BiologicalMaterial09 + BiologicalMaterial11 + BiologicalMaterial12 +
## ManufacturingProcess02 + ManufacturingProcess03 + ManufacturingProcess04 +
## ManufacturingProcess05 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess08 + ManufacturingProcess09 + ManufacturingProcess10 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess22 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess31 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess40 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial01 1 0.1111 109.36 33.120
## - ManufacturingProcess40 1 0.1264 109.38 33.142
## - ManufacturingProcess08 1 0.1340 109.39 33.153
## - ManufacturingProcess10 1 0.1381 109.39 33.159
## - ManufacturingProcess25 1 0.1643 109.42 33.198
## - ManufacturingProcess39 1 0.2355 109.49 33.302
## - ManufacturingProcess31 1 0.2649 109.52 33.345
## - ManufacturingProcess05 1 0.2970 109.55 33.392
## - ManufacturingProcess06 1 0.3178 109.57 33.422
## - ManufacturingProcess22 1 0.3543 109.61 33.475
## - ManufacturingProcess19 1 0.5079 109.76 33.699
## - ManufacturingProcess02 1 0.5173 109.77 33.713
## - ManufacturingProcess44 1 0.5533 109.81 33.765
## - ManufacturingProcess03 1 0.5602 109.81 33.776
## - ManufacturingProcess38 1 0.5813 109.83 33.806
## - ManufacturingProcess42 1 0.6185 109.87 33.860
## - BiologicalMaterial08 1 0.6699 109.92 33.935
## - ManufacturingProcess14 1 0.7098 109.96 33.993
## - ManufacturingProcess16 1 0.8182 110.07 34.151
## - ManufacturingProcess29 1 0.8290 110.08 34.167
## - ManufacturingProcess12 1 0.8506 110.10 34.198
## - ManufacturingProcess26 1 0.9104 110.16 34.285
## - ManufacturingProcess07 1 0.9375 110.19 34.324
## - ManufacturingProcess30 1 0.9469 110.20 34.338
## - ManufacturingProcess24 1 1.0030 110.25 34.419
## - ManufacturingProcess36 1 1.3009 110.55 34.851
## <none> 109.25 34.957
## - ManufacturingProcess20 1 1.4981 110.75 35.136
## - ManufacturingProcess09 1 1.5664 110.82 35.235
## - ManufacturingProcess11 1 1.6954 110.95 35.421
## - ManufacturingProcess18 1 1.7197 110.97 35.456
## - ManufacturingProcess27 1 1.7328 110.98 35.475
## - BiologicalMaterial12 1 1.7766 111.03 35.538
## - BiologicalMaterial05 1 1.8882 111.14 35.699
## - BiologicalMaterial02 1 1.9612 111.21 35.804
## - BiologicalMaterial09 1 2.0145 111.27 35.881
## - ManufacturingProcess13 1 2.0781 111.33 35.972
## - BiologicalMaterial11 1 2.6394 111.89 36.777
## - BiologicalMaterial07 1 2.9603 112.21 37.235
## - ManufacturingProcess35 1 3.0093 112.26 37.305
## - ManufacturingProcess43 1 3.2455 112.50 37.641
## - ManufacturingProcess45 1 3.5146 112.77 38.023
## - BiologicalMaterial03 1 3.6373 112.89 38.197
## - ManufacturingProcess37 1 3.8694 113.12 38.526
## - ManufacturingProcess28 1 7.1457 116.40 43.094
## - ManufacturingProcess04 1 9.8385 119.09 46.753
## - ManufacturingProcess33 1 11.8711 121.12 49.461
## - ManufacturingProcess32 1 26.8973 136.15 68.172
##
## Step: AIC=33.12
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess08 +
## ManufacturingProcess09 + ManufacturingProcess10 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess22 + ManufacturingProcess24 +
## ManufacturingProcess25 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess31 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess40 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess08 1 0.1008 109.46 31.267
## - ManufacturingProcess40 1 0.1189 109.48 31.294
## - ManufacturingProcess10 1 0.1210 109.48 31.297
## - ManufacturingProcess25 1 0.2102 109.57 31.427
## - ManufacturingProcess31 1 0.2167 109.58 31.436
## - ManufacturingProcess39 1 0.2460 109.61 31.479
## - ManufacturingProcess05 1 0.2910 109.65 31.545
## - ManufacturingProcess22 1 0.3042 109.67 31.564
## - ManufacturingProcess06 1 0.3370 109.70 31.612
## - ManufacturingProcess02 1 0.4114 109.77 31.720
## - ManufacturingProcess19 1 0.4287 109.79 31.746
## - ManufacturingProcess38 1 0.5085 109.87 31.862
## - ManufacturingProcess03 1 0.5348 109.90 31.900
## - ManufacturingProcess14 1 0.6704 110.03 32.098
## - ManufacturingProcess42 1 0.6716 110.03 32.099
## - ManufacturingProcess44 1 0.7805 110.14 32.258
## - ManufacturingProcess29 1 0.7906 110.15 32.272
## - ManufacturingProcess16 1 0.8301 110.19 32.330
## - ManufacturingProcess07 1 0.9300 110.29 32.475
## - ManufacturingProcess12 1 0.9541 110.32 32.510
## - ManufacturingProcess30 1 1.0137 110.38 32.596
## - ManufacturingProcess26 1 1.0644 110.43 32.669
## - ManufacturingProcess24 1 1.1292 110.49 32.763
## - ManufacturingProcess36 1 1.3266 110.69 33.049
## - BiologicalMaterial08 1 1.3548 110.72 33.090
## <none> 109.36 33.120
## - ManufacturingProcess20 1 1.4827 110.85 33.274
## - ManufacturingProcess11 1 1.5849 110.95 33.422
## - ManufacturingProcess18 1 1.7022 111.06 33.591
## - ManufacturingProcess27 1 1.7023 111.06 33.591
## - BiologicalMaterial12 1 1.8428 111.21 33.793
## - BiologicalMaterial05 1 1.9142 111.28 33.896
## - BiologicalMaterial02 1 1.9758 111.34 33.985
## - ManufacturingProcess09 1 2.0021 111.36 34.022
## - BiologicalMaterial09 1 2.0126 111.38 34.037
## - ManufacturingProcess13 1 2.0547 111.42 34.098
## - BiologicalMaterial11 1 2.5336 111.90 34.784
## - ManufacturingProcess35 1 3.0374 112.40 35.503
## - ManufacturingProcess43 1 3.1597 112.52 35.677
## - BiologicalMaterial07 1 3.2515 112.61 35.807
## - ManufacturingProcess45 1 3.4959 112.86 36.154
## - BiologicalMaterial03 1 3.7735 113.14 36.547
## - ManufacturingProcess37 1 4.2120 113.58 37.166
## - ManufacturingProcess28 1 7.0621 116.42 41.132
## - ManufacturingProcess04 1 9.7752 119.14 44.818
## - ManufacturingProcess33 1 11.7618 121.12 47.464
## - ManufacturingProcess32 1 27.1544 136.52 66.604
##
## Step: AIC=31.27
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess10 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess22 + ManufacturingProcess24 + ManufacturingProcess25 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess31 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess38 +
## ManufacturingProcess39 + ManufacturingProcess40 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess10 1 0.1044 109.57 29.420
## - ManufacturingProcess40 1 0.1070 109.57 29.423
## - ManufacturingProcess25 1 0.2192 109.68 29.587
## - ManufacturingProcess31 1 0.2223 109.69 29.592
## - ManufacturingProcess39 1 0.2749 109.74 29.668
## - ManufacturingProcess05 1 0.2809 109.75 29.677
## - ManufacturingProcess22 1 0.3281 109.79 29.746
## - ManufacturingProcess02 1 0.3645 109.83 29.799
## - ManufacturingProcess06 1 0.3848 109.85 29.829
## - ManufacturingProcess19 1 0.4170 109.88 29.876
## - ManufacturingProcess38 1 0.4983 109.96 29.994
## - ManufacturingProcess03 1 0.5090 109.97 30.009
## - ManufacturingProcess14 1 0.6388 110.10 30.198
## - ManufacturingProcess42 1 0.6722 110.14 30.247
## - ManufacturingProcess29 1 0.7912 110.25 30.419
## - ManufacturingProcess44 1 0.8181 110.28 30.458
## - ManufacturingProcess07 1 0.8335 110.30 30.481
## - ManufacturingProcess16 1 0.8406 110.30 30.491
## - ManufacturingProcess12 1 0.9819 110.45 30.696
## - ManufacturingProcess30 1 1.0072 110.47 30.733
## - ManufacturingProcess26 1 1.0822 110.55 30.841
## - ManufacturingProcess24 1 1.2541 110.72 31.090
## - ManufacturingProcess36 1 1.3165 110.78 31.180
## <none> 109.46 31.267
## - ManufacturingProcess20 1 1.3942 110.86 31.292
## - BiologicalMaterial08 1 1.4839 110.95 31.421
## - ManufacturingProcess11 1 1.5314 111.00 31.490
## - ManufacturingProcess18 1 1.6093 111.07 31.602
## - ManufacturingProcess27 1 1.7023 111.17 31.736
## - BiologicalMaterial12 1 1.7505 111.21 31.806
## - BiologicalMaterial05 1 1.8597 111.32 31.963
## - ManufacturingProcess09 1 1.9418 111.41 32.081
## - BiologicalMaterial02 1 2.0328 111.50 32.211
## - BiologicalMaterial09 1 2.0444 111.51 32.228
## - ManufacturingProcess13 1 2.2469 111.71 32.518
## - BiologicalMaterial11 1 2.5026 111.97 32.884
## - ManufacturingProcess35 1 2.9417 112.41 33.510
## - ManufacturingProcess43 1 3.0620 112.53 33.681
## - BiologicalMaterial07 1 3.3151 112.78 34.041
## - ManufacturingProcess45 1 3.4923 112.96 34.292
## - BiologicalMaterial03 1 3.9048 113.37 34.875
## - ManufacturingProcess37 1 6.2453 115.71 38.145
## - ManufacturingProcess28 1 7.2229 116.69 39.491
## - ManufacturingProcess04 1 9.6980 119.16 42.849
## - ManufacturingProcess33 1 11.9234 121.39 45.810
## - ManufacturingProcess32 1 27.0893 136.55 64.646
##
## Step: AIC=29.42
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess22 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess31 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess40 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess40 1 0.1087 109.68 27.578
## - ManufacturingProcess31 1 0.2367 109.81 27.765
## - ManufacturingProcess05 1 0.2659 109.83 27.807
## - ManufacturingProcess25 1 0.2776 109.85 27.825
## - ManufacturingProcess22 1 0.2891 109.86 27.841
## - ManufacturingProcess39 1 0.3178 109.89 27.883
## - ManufacturingProcess02 1 0.3515 109.92 27.932
## - ManufacturingProcess06 1 0.3731 109.94 27.964
## - ManufacturingProcess19 1 0.4591 110.03 28.089
## - ManufacturingProcess38 1 0.4790 110.05 28.118
## - ManufacturingProcess03 1 0.5575 110.13 28.232
## - ManufacturingProcess42 1 0.7356 110.30 28.490
## - ManufacturingProcess07 1 0.8034 110.37 28.589
## - ManufacturingProcess16 1 0.8317 110.40 28.630
## - ManufacturingProcess44 1 0.9288 110.50 28.770
## - ManufacturingProcess12 1 0.9792 110.55 28.843
## - ManufacturingProcess29 1 0.9902 110.56 28.859
## - ManufacturingProcess30 1 1.0452 110.61 28.939
## - ManufacturingProcess26 1 1.0627 110.63 28.964
## - ManufacturingProcess36 1 1.3244 110.89 29.342
## - ManufacturingProcess24 1 1.3342 110.90 29.356
## - ManufacturingProcess20 1 1.3578 110.93 29.390
## <none> 109.57 29.420
## - BiologicalMaterial08 1 1.4311 111.00 29.496
## - ManufacturingProcess18 1 1.5716 111.14 29.698
## - ManufacturingProcess27 1 1.5997 111.17 29.739
## - ManufacturingProcess11 1 1.7240 111.29 29.918
## - BiologicalMaterial12 1 1.7681 111.34 29.981
## - BiologicalMaterial05 1 1.8357 111.40 30.078
## - ManufacturingProcess09 1 1.9077 111.48 30.181
## - BiologicalMaterial02 1 1.9807 111.55 30.286
## - ManufacturingProcess14 1 2.0331 111.60 30.361
## - BiologicalMaterial09 1 2.0683 111.64 30.412
## - ManufacturingProcess13 1 2.3794 111.95 30.857
## - BiologicalMaterial11 1 2.5057 112.07 31.037
## - ManufacturingProcess35 1 3.0736 112.64 31.846
## - BiologicalMaterial07 1 3.2236 112.79 32.059
## - ManufacturingProcess45 1 3.4291 113.00 32.350
## - ManufacturingProcess43 1 3.4322 113.00 32.355
## - BiologicalMaterial03 1 3.9848 113.55 33.135
## - ManufacturingProcess37 1 6.3092 115.88 36.377
## - ManufacturingProcess28 1 7.2580 116.83 37.682
## - ManufacturingProcess04 1 9.5993 119.17 40.857
## - ManufacturingProcess33 1 11.8992 121.47 43.916
## - ManufacturingProcess32 1 26.9885 136.56 62.651
##
## Step: AIC=27.58
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess22 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess31 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess31 1 0.2296 109.91 25.913
## - ManufacturingProcess22 1 0.2579 109.94 25.954
## - ManufacturingProcess05 1 0.2636 109.94 25.962
## - ManufacturingProcess25 1 0.2898 109.97 26.001
## - ManufacturingProcess39 1 0.3052 109.98 26.023
## - ManufacturingProcess06 1 0.3641 110.04 26.109
## - ManufacturingProcess02 1 0.3752 110.05 26.125
## - ManufacturingProcess19 1 0.4133 110.09 26.180
## - ManufacturingProcess38 1 0.4951 110.17 26.299
## - ManufacturingProcess03 1 0.5945 110.27 26.443
## - ManufacturingProcess42 1 0.7871 110.46 26.722
## - ManufacturingProcess16 1 0.8185 110.50 26.768
## - ManufacturingProcess07 1 0.8868 110.56 26.867
## - ManufacturingProcess44 1 0.9363 110.61 26.938
## - ManufacturingProcess12 1 0.9908 110.67 27.017
## - ManufacturingProcess26 1 1.0129 110.69 27.049
## - ManufacturingProcess29 1 1.0470 110.72 27.098
## - ManufacturingProcess30 1 1.1048 110.78 27.182
## - ManufacturingProcess36 1 1.3152 110.99 27.486
## - ManufacturingProcess24 1 1.3482 111.03 27.533
## <none> 109.68 27.578
## - ManufacturingProcess27 1 1.5005 111.18 27.752
## - BiologicalMaterial08 1 1.5184 111.19 27.778
## - ManufacturingProcess20 1 1.5387 111.22 27.807
## - ManufacturingProcess11 1 1.6946 111.37 28.032
## - BiologicalMaterial12 1 1.7453 111.42 28.104
## - ManufacturingProcess18 1 1.7618 111.44 28.128
## - BiologicalMaterial05 1 1.8297 111.51 28.226
## - BiologicalMaterial02 1 1.9369 111.61 28.379
## - ManufacturingProcess09 1 1.9620 111.64 28.415
## - ManufacturingProcess14 1 2.1069 111.78 28.623
## - BiologicalMaterial09 1 2.1954 111.87 28.749
## - ManufacturingProcess13 1 2.5116 112.19 29.201
## - BiologicalMaterial11 1 2.5369 112.21 29.237
## - ManufacturingProcess35 1 2.9922 112.67 29.885
## - BiologicalMaterial07 1 3.1914 112.87 30.167
## - ManufacturingProcess45 1 3.3370 113.01 30.374
## - ManufacturingProcess43 1 3.5581 113.23 30.687
## - BiologicalMaterial03 1 4.0006 113.68 31.311
## - ManufacturingProcess37 1 6.3644 116.04 34.603
## - ManufacturingProcess28 1 7.2823 116.96 35.864
## - ManufacturingProcess04 1 10.1490 119.83 39.738
## - ManufacturingProcess33 1 11.8837 121.56 42.038
## - ManufacturingProcess32 1 26.9729 136.65 60.759
##
## Step: AIC=25.91
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess05 +
## ManufacturingProcess06 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess22 +
## ManufacturingProcess24 + ManufacturingProcess25 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess05 1 0.2168 110.12 24.228
## - ManufacturingProcess22 1 0.2209 110.13 24.234
## - ManufacturingProcess25 1 0.2270 110.13 24.243
## - ManufacturingProcess39 1 0.3158 110.22 24.372
## - ManufacturingProcess02 1 0.3164 110.22 24.373
## - ManufacturingProcess06 1 0.4069 110.31 24.504
## - ManufacturingProcess38 1 0.4213 110.33 24.525
## - ManufacturingProcess19 1 0.4606 110.37 24.582
## - ManufacturingProcess03 1 0.5521 110.46 24.715
## - ManufacturingProcess29 1 0.8256 110.73 25.110
## - ManufacturingProcess16 1 0.8931 110.80 25.208
## - ManufacturingProcess42 1 0.8993 110.81 25.217
## - ManufacturingProcess07 1 0.9323 110.84 25.264
## - ManufacturingProcess12 1 1.0283 110.94 25.403
## - ManufacturingProcess30 1 1.0610 110.97 25.450
## - ManufacturingProcess44 1 1.0771 110.98 25.473
## - ManufacturingProcess26 1 1.1175 111.02 25.531
## - ManufacturingProcess24 1 1.3362 111.24 25.846
## - ManufacturingProcess36 1 1.3667 111.27 25.890
## <none> 109.91 25.913
## - ManufacturingProcess27 1 1.4888 111.39 26.066
## - ManufacturingProcess20 1 1.5319 111.44 26.128
## - ManufacturingProcess11 1 1.6678 111.57 26.323
## - BiologicalMaterial05 1 1.6970 111.60 26.364
## - ManufacturingProcess18 1 1.7605 111.67 26.455
## - BiologicalMaterial08 1 1.7959 111.70 26.506
## - BiologicalMaterial12 1 1.8256 111.73 26.549
## - ManufacturingProcess09 1 1.9890 111.89 26.783
## - ManufacturingProcess14 1 2.0731 111.98 26.903
## - BiologicalMaterial02 1 2.1357 112.04 26.992
## - BiologicalMaterial09 1 2.4046 112.31 27.376
## - ManufacturingProcess13 1 2.4515 112.36 27.443
## - BiologicalMaterial11 1 2.5514 112.46 27.585
## - ManufacturingProcess35 1 3.0738 112.98 28.326
## - BiologicalMaterial07 1 3.1448 113.05 28.427
## - ManufacturingProcess45 1 3.3302 113.24 28.689
## - ManufacturingProcess43 1 3.5230 113.43 28.961
## - BiologicalMaterial03 1 4.1352 114.04 29.822
## - ManufacturingProcess37 1 6.1375 116.04 32.607
## - ManufacturingProcess28 1 7.2880 117.19 34.186
## - ManufacturingProcess04 1 10.5565 120.46 38.587
## - ManufacturingProcess33 1 11.8309 121.74 40.271
## - ManufacturingProcess32 1 27.5283 137.44 59.676
##
## Step: AIC=24.23
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess22 + ManufacturingProcess24 +
## ManufacturingProcess25 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess38 +
## ManufacturingProcess39 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess22 1 0.2114 110.33 22.535
## - ManufacturingProcess25 1 0.2585 110.38 22.603
## - ManufacturingProcess02 1 0.2852 110.41 22.642
## - ManufacturingProcess39 1 0.3431 110.47 22.726
## - ManufacturingProcess06 1 0.3737 110.50 22.770
## - ManufacturingProcess19 1 0.4482 110.57 22.878
## - ManufacturingProcess38 1 0.4919 110.61 22.941
## - ManufacturingProcess03 1 0.5291 110.65 22.995
## - ManufacturingProcess29 1 0.7245 110.85 23.277
## - ManufacturingProcess16 1 0.9738 111.10 23.637
## - ManufacturingProcess07 1 0.9742 111.10 23.637
## - ManufacturingProcess30 1 1.0291 111.15 23.716
## - ManufacturingProcess42 1 1.0686 111.19 23.773
## - ManufacturingProcess12 1 1.0868 111.21 23.799
## - ManufacturingProcess24 1 1.1796 111.30 23.933
## - ManufacturingProcess26 1 1.1866 111.31 23.943
## - ManufacturingProcess36 1 1.2695 111.39 24.062
## - ManufacturingProcess20 1 1.3536 111.48 24.183
## - ManufacturingProcess44 1 1.3644 111.49 24.198
## <none> 110.12 24.228
## - ManufacturingProcess27 1 1.4176 111.54 24.275
## - ManufacturingProcess18 1 1.5769 111.70 24.503
## - ManufacturingProcess11 1 1.6037 111.73 24.541
## - BiologicalMaterial05 1 1.6242 111.75 24.571
## - BiologicalMaterial08 1 1.8420 111.97 24.882
## - BiologicalMaterial02 1 2.0017 112.12 25.110
## - ManufacturingProcess14 1 2.0817 112.20 25.224
## - BiologicalMaterial12 1 2.1079 112.23 25.262
## - ManufacturingProcess09 1 2.2531 112.38 25.469
## - ManufacturingProcess13 1 2.3691 112.49 25.634
## - BiologicalMaterial09 1 2.4995 112.62 25.819
## - BiologicalMaterial11 1 2.5230 112.65 25.852
## - ManufacturingProcess35 1 2.9164 113.04 26.410
## - BiologicalMaterial07 1 3.1869 113.31 26.793
## - ManufacturingProcess45 1 3.2926 113.42 26.942
## - ManufacturingProcess43 1 3.6784 113.80 27.485
## - BiologicalMaterial03 1 3.9747 114.10 27.901
## - ManufacturingProcess37 1 6.2320 116.36 31.036
## - ManufacturingProcess28 1 7.1552 117.28 32.300
## - ManufacturingProcess04 1 11.1420 121.27 37.649
## - ManufacturingProcess33 1 11.6543 121.78 38.323
## - ManufacturingProcess32 1 27.3308 137.45 57.699
##
## Step: AIC=22.54
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess25 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess39 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess25 1 0.2581 110.59 20.909
## - ManufacturingProcess02 1 0.3238 110.66 21.004
## - ManufacturingProcess06 1 0.3287 110.66 21.011
## - ManufacturingProcess39 1 0.3806 110.72 21.086
## - ManufacturingProcess38 1 0.4269 110.76 21.153
## - ManufacturingProcess19 1 0.4588 110.79 21.199
## - ManufacturingProcess03 1 0.4841 110.82 21.236
## - ManufacturingProcess29 1 0.7061 111.04 21.556
## - ManufacturingProcess16 1 0.8518 111.19 21.766
## - ManufacturingProcess30 1 0.9069 111.24 21.845
## - ManufacturingProcess07 1 1.0107 111.34 21.994
## - ManufacturingProcess12 1 1.0604 111.39 22.065
## - ManufacturingProcess26 1 1.1116 111.45 22.139
## - ManufacturingProcess36 1 1.2769 111.61 22.376
## - ManufacturingProcess27 1 1.3036 111.64 22.414
## <none> 110.33 22.535
## - ManufacturingProcess42 1 1.3890 111.72 22.537
## - ManufacturingProcess20 1 1.4193 111.75 22.580
## - ManufacturingProcess11 1 1.4783 111.81 22.665
## - ManufacturingProcess24 1 1.5063 111.84 22.705
## - ManufacturingProcess44 1 1.5536 111.89 22.772
## - ManufacturingProcess18 1 1.6275 111.96 22.878
## - BiologicalMaterial05 1 1.7339 112.07 23.030
## - BiologicalMaterial08 1 1.7875 112.12 23.106
## - BiologicalMaterial02 1 1.9898 112.32 23.395
## - ManufacturingProcess14 1 2.1100 112.44 23.566
## - BiologicalMaterial12 1 2.2476 112.58 23.762
## - ManufacturingProcess13 1 2.2673 112.60 23.790
## - BiologicalMaterial09 1 2.3963 112.73 23.973
## - ManufacturingProcess09 1 2.5722 112.91 24.222
## - BiologicalMaterial11 1 2.6554 112.99 24.340
## - ManufacturingProcess35 1 2.9829 113.32 24.803
## - BiologicalMaterial07 1 3.0560 113.39 24.906
## - ManufacturingProcess45 1 3.1185 113.45 24.995
## - ManufacturingProcess43 1 3.5605 113.89 25.617
## - BiologicalMaterial03 1 3.9495 114.28 26.162
## - ManufacturingProcess37 1 6.2281 116.56 29.321
## - ManufacturingProcess28 1 7.3403 117.67 30.840
## - ManufacturingProcess04 1 10.9308 121.27 35.649
## - ManufacturingProcess33 1 11.6239 121.96 36.561
## - ManufacturingProcess32 1 28.6453 138.98 57.465
##
## Step: AIC=20.91
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess39 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess39 1 0.3465 110.94 19.409
## - ManufacturingProcess06 1 0.3916 110.98 19.474
## - ManufacturingProcess02 1 0.4363 111.03 19.539
## - ManufacturingProcess38 1 0.5223 111.11 19.663
## - ManufacturingProcess03 1 0.5586 111.15 19.715
## - ManufacturingProcess30 1 0.7028 111.30 19.922
## - ManufacturingProcess29 1 0.8000 111.39 20.062
## - ManufacturingProcess16 1 0.9157 111.51 20.228
## - ManufacturingProcess12 1 0.9997 111.59 20.349
## - ManufacturingProcess07 1 1.0875 111.68 20.475
## - ManufacturingProcess19 1 1.2126 111.81 20.654
## - ManufacturingProcess20 1 1.2580 111.85 20.719
## - ManufacturingProcess36 1 1.2893 111.88 20.763
## - ManufacturingProcess26 1 1.3154 111.91 20.801
## <none> 110.59 20.909
## - ManufacturingProcess24 1 1.4296 112.02 20.964
## - ManufacturingProcess18 1 1.4699 112.06 21.021
## - ManufacturingProcess44 1 1.5408 112.13 21.123
## - ManufacturingProcess42 1 1.5803 112.17 21.179
## - BiologicalMaterial08 1 1.8175 112.41 21.517
## - ManufacturingProcess11 1 2.1314 112.72 21.963
## - BiologicalMaterial05 1 2.1379 112.73 21.972
## - ManufacturingProcess14 1 2.1849 112.78 22.039
## - BiologicalMaterial12 1 2.1889 112.78 22.045
## - BiologicalMaterial02 1 2.2259 112.82 22.097
## - ManufacturingProcess13 1 2.2597 112.85 22.145
## - ManufacturingProcess27 1 2.3863 112.98 22.325
## - BiologicalMaterial09 1 2.4668 113.06 22.438
## - BiologicalMaterial11 1 2.5320 113.12 22.531
## - ManufacturingProcess35 1 2.8428 113.44 22.970
## - ManufacturingProcess09 1 2.9643 113.56 23.141
## - ManufacturingProcess45 1 3.0522 113.64 23.265
## - BiologicalMaterial07 1 3.3156 113.91 23.635
## - ManufacturingProcess43 1 3.4247 114.02 23.788
## - BiologicalMaterial03 1 3.9658 114.56 24.546
## - ManufacturingProcess37 1 6.7988 117.39 28.455
## - ManufacturingProcess28 1 7.3103 117.90 29.150
## - ManufacturingProcess04 1 11.7006 122.29 35.000
## - ManufacturingProcess33 1 11.8055 122.40 35.137
## - ManufacturingProcess32 1 28.4255 139.02 55.509
##
## Step: AIC=19.41
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess02 +
## ManufacturingProcess03 + ManufacturingProcess04 + ManufacturingProcess06 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess29 +
## ManufacturingProcess30 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess38 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess02 1 0.3912 111.33 17.973
## - ManufacturingProcess06 1 0.4031 111.34 17.990
## - ManufacturingProcess03 1 0.5048 111.44 18.136
## - ManufacturingProcess30 1 0.6678 111.61 18.370
## - ManufacturingProcess38 1 0.7883 111.73 18.542
## - ManufacturingProcess12 1 0.8894 111.83 18.687
## - ManufacturingProcess16 1 0.9411 111.88 18.761
## - ManufacturingProcess29 1 1.1082 112.05 19.000
## - ManufacturingProcess07 1 1.1345 112.07 19.037
## - ManufacturingProcess19 1 1.1444 112.08 19.051
## - ManufacturingProcess24 1 1.2636 112.20 19.222
## - ManufacturingProcess44 1 1.3112 112.25 19.289
## - ManufacturingProcess20 1 1.3537 112.29 19.350
## - ManufacturingProcess36 1 1.3869 112.33 19.397
## <none> 110.94 19.409
## - ManufacturingProcess18 1 1.5708 112.51 19.659
## - BiologicalMaterial08 1 1.5719 112.51 19.661
## - ManufacturingProcess26 1 1.5815 112.52 19.674
## - ManufacturingProcess42 1 1.7305 112.67 19.886
## - BiologicalMaterial05 1 2.0494 112.99 20.338
## - BiologicalMaterial12 1 2.1501 113.09 20.481
## - ManufacturingProcess11 1 2.1766 113.12 20.518
## - BiologicalMaterial09 1 2.2638 113.20 20.642
## - BiologicalMaterial02 1 2.3897 113.33 20.819
## - BiologicalMaterial11 1 2.3973 113.34 20.830
## - ManufacturingProcess14 1 2.6196 113.56 21.144
## - ManufacturingProcess13 1 2.6224 113.56 21.147
## - ManufacturingProcess09 1 2.6491 113.59 21.185
## - ManufacturingProcess35 1 2.6983 113.64 21.254
## - ManufacturingProcess45 1 3.1416 114.08 21.877
## - BiologicalMaterial07 1 3.2717 114.21 22.060
## - ManufacturingProcess27 1 3.2732 114.21 22.062
## - ManufacturingProcess43 1 3.4534 114.39 22.314
## - BiologicalMaterial03 1 3.8300 114.77 22.840
## - ManufacturingProcess28 1 6.9639 117.90 27.150
## - ManufacturingProcess37 1 7.0564 118.00 27.276
## - ManufacturingProcess04 1 11.8102 122.75 33.595
## - ManufacturingProcess33 1 13.3231 124.26 35.555
## - ManufacturingProcess32 1 29.0816 140.02 54.659
##
## Step: AIC=17.97
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess06 + ManufacturingProcess07 +
## ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess24 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess29 + ManufacturingProcess30 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess38 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess06 1 0.3028 111.63 16.407
## - ManufacturingProcess03 1 0.6538 111.98 16.909
## - ManufacturingProcess38 1 0.7169 112.05 17.000
## - ManufacturingProcess29 1 0.7175 112.05 17.000
## - ManufacturingProcess24 1 1.0708 112.40 17.504
## - ManufacturingProcess07 1 1.2002 112.53 17.688
## - ManufacturingProcess44 1 1.2213 112.55 17.718
## - ManufacturingProcess20 1 1.2291 112.56 17.729
## - ManufacturingProcess30 1 1.2705 112.60 17.788
## - ManufacturingProcess36 1 1.3216 112.65 17.861
## <none> 111.33 17.973
## - ManufacturingProcess19 1 1.4245 112.75 18.007
## - ManufacturingProcess18 1 1.4779 112.81 18.083
## - ManufacturingProcess12 1 1.5850 112.92 18.234
## - ManufacturingProcess42 1 1.6411 112.97 18.314
## - BiologicalMaterial08 1 1.8242 113.16 18.573
## - ManufacturingProcess16 1 1.8660 113.20 18.632
## - BiologicalMaterial09 1 1.8982 113.23 18.678
## - BiologicalMaterial12 1 2.1726 113.50 19.065
## - ManufacturingProcess26 1 2.5143 113.84 19.546
## - ManufacturingProcess35 1 2.6287 113.96 19.707
## - BiologicalMaterial02 1 2.7141 114.05 19.826
## - ManufacturingProcess11 1 2.7176 114.05 19.831
## - BiologicalMaterial11 1 2.8003 114.13 19.947
## - BiologicalMaterial05 1 2.8388 114.17 20.001
## - ManufacturingProcess14 1 3.0747 114.41 20.331
## - ManufacturingProcess09 1 3.1420 114.47 20.426
## - ManufacturingProcess45 1 3.1898 114.52 20.492
## - BiologicalMaterial07 1 3.2039 114.53 20.512
## - ManufacturingProcess27 1 3.2676 114.60 20.601
## - ManufacturingProcess43 1 3.4539 114.78 20.861
## - BiologicalMaterial03 1 3.5308 114.86 20.968
## - ManufacturingProcess13 1 3.7118 115.04 21.220
## - ManufacturingProcess37 1 7.2183 118.55 26.024
## - ManufacturingProcess28 1 8.8656 120.20 28.232
## - ManufacturingProcess04 1 13.0795 124.41 33.745
## - ManufacturingProcess33 1 14.0215 125.35 34.952
## - ManufacturingProcess32 1 31.4914 142.82 55.828
##
## Step: AIC=16.41
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess24 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess38 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess38 1 0.737 112.37 15.460
## - ManufacturingProcess29 1 0.803 112.44 15.554
## - ManufacturingProcess03 1 0.912 112.55 15.709
## - ManufacturingProcess44 1 1.105 112.74 15.983
## - ManufacturingProcess07 1 1.130 112.76 16.019
## - ManufacturingProcess30 1 1.155 112.79 16.055
## - ManufacturingProcess24 1 1.165 112.80 16.068
## - ManufacturingProcess20 1 1.211 112.84 16.134
## - ManufacturingProcess36 1 1.236 112.87 16.169
## <none> 111.63 16.407
## - ManufacturingProcess18 1 1.433 113.07 16.448
## - ManufacturingProcess19 1 1.507 113.14 16.553
## - ManufacturingProcess12 1 1.576 113.21 16.650
## - BiologicalMaterial08 1 1.624 113.26 16.718
## - ManufacturingProcess42 1 1.643 113.28 16.745
## - BiologicalMaterial09 1 1.689 113.32 16.809
## - ManufacturingProcess16 1 1.841 113.47 17.024
## - BiologicalMaterial12 1 2.235 113.87 17.578
## - BiologicalMaterial02 1 2.467 114.10 17.904
## - ManufacturingProcess35 1 2.505 114.14 17.958
## - ManufacturingProcess26 1 2.508 114.14 17.962
## - ManufacturingProcess11 1 2.652 114.29 18.164
## - BiologicalMaterial05 1 2.667 114.30 18.184
## - BiologicalMaterial11 1 2.783 114.42 18.348
## - ManufacturingProcess45 1 2.967 114.60 18.604
## - ManufacturingProcess09 1 2.993 114.63 18.640
## - ManufacturingProcess14 1 3.251 114.88 19.000
## - BiologicalMaterial03 1 3.291 114.92 19.056
## - ManufacturingProcess43 1 3.358 114.99 19.149
## - BiologicalMaterial07 1 3.359 114.99 19.150
## - ManufacturingProcess27 1 3.381 115.01 19.180
## - ManufacturingProcess13 1 4.405 116.04 20.599
## - ManufacturingProcess37 1 6.930 118.56 24.044
## - ManufacturingProcess28 1 9.241 120.87 27.132
## - ManufacturingProcess04 1 13.531 125.17 32.713
## - ManufacturingProcess33 1 15.896 127.53 35.708
## - ManufacturingProcess32 1 33.174 144.81 56.037
##
## Step: AIC=15.46
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess24 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess29 + ManufacturingProcess30 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess36 +
## ManufacturingProcess37 + ManufacturingProcess42 + ManufacturingProcess43 +
## ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess29 1 0.657 113.03 14.393
## - ManufacturingProcess03 1 0.844 113.21 14.657
## - ManufacturingProcess44 1 0.935 113.31 14.786
## - ManufacturingProcess07 1 1.038 113.41 14.932
## - ManufacturingProcess30 1 1.146 113.52 15.083
## - ManufacturingProcess42 1 1.165 113.53 15.110
## - ManufacturingProcess20 1 1.190 113.56 15.145
## - ManufacturingProcess12 1 1.201 113.57 15.161
## - ManufacturingProcess24 1 1.335 113.71 15.350
## - ManufacturingProcess36 1 1.339 113.71 15.355
## - ManufacturingProcess18 1 1.397 113.77 15.437
## <none> 112.37 15.460
## - ManufacturingProcess19 1 1.623 113.99 15.755
## - BiologicalMaterial08 1 1.776 114.15 15.969
## - BiologicalMaterial12 1 1.899 114.27 16.141
## - ManufacturingProcess16 1 1.962 114.33 16.229
## - BiologicalMaterial09 1 1.988 114.36 16.265
## - ManufacturingProcess26 1 2.536 114.91 17.030
## - BiologicalMaterial11 1 2.536 114.91 17.031
## - BiologicalMaterial02 1 2.570 114.94 17.079
## - ManufacturingProcess11 1 2.577 114.95 17.088
## - BiologicalMaterial05 1 2.606 114.98 17.127
## - BiologicalMaterial07 1 2.952 115.32 17.609
## - ManufacturingProcess45 1 2.968 115.34 17.631
## - ManufacturingProcess09 1 3.255 115.62 18.028
## - ManufacturingProcess27 1 3.268 115.64 18.046
## - ManufacturingProcess14 1 3.280 115.65 18.063
## - BiologicalMaterial03 1 3.478 115.85 18.337
## - ManufacturingProcess43 1 3.546 115.92 18.431
## - ManufacturingProcess35 1 3.907 116.28 18.928
## - ManufacturingProcess13 1 4.574 116.94 19.844
## - ManufacturingProcess37 1 6.973 119.34 23.093
## - ManufacturingProcess28 1 8.617 120.99 25.281
## - ManufacturingProcess04 1 13.545 125.92 31.670
## - ManufacturingProcess33 1 16.580 128.95 35.480
## - ManufacturingProcess32 1 34.094 146.46 55.857
##
## Step: AIC=14.39
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess03 +
## ManufacturingProcess04 + ManufacturingProcess07 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess20 + ManufacturingProcess24 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess30 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess36 + ManufacturingProcess37 +
## ManufacturingProcess42 + ManufacturingProcess43 + ManufacturingProcess44 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess03 1 0.736 113.76 13.432
## - ManufacturingProcess44 1 0.880 113.91 13.634
## - ManufacturingProcess07 1 1.079 114.11 13.913
## - ManufacturingProcess36 1 1.201 114.23 14.084
## - ManufacturingProcess20 1 1.337 114.36 14.274
## - ManufacturingProcess24 1 1.405 114.43 14.370
## <none> 113.03 14.393
## - ManufacturingProcess42 1 1.557 114.58 14.582
## - ManufacturingProcess18 1 1.635 114.66 14.691
## - ManufacturingProcess12 1 1.687 114.71 14.763
## - ManufacturingProcess30 1 1.769 114.80 14.878
## - BiologicalMaterial02 1 2.152 115.18 15.410
## - BiologicalMaterial08 1 2.156 115.18 15.416
## - BiologicalMaterial09 1 2.433 115.46 15.801
## - BiologicalMaterial05 1 2.674 115.70 16.134
## - ManufacturingProcess45 1 2.687 115.71 16.152
## - ManufacturingProcess16 1 2.816 115.84 16.330
## - ManufacturingProcess27 1 2.836 115.86 16.358
## - BiologicalMaterial07 1 2.854 115.88 16.383
## - BiologicalMaterial03 1 3.139 116.17 16.776
## - ManufacturingProcess09 1 3.188 116.22 16.843
## - BiologicalMaterial12 1 3.249 116.28 16.927
## - ManufacturingProcess14 1 3.317 116.34 17.021
## - ManufacturingProcess43 1 3.319 116.35 17.023
## - ManufacturingProcess26 1 3.554 116.58 17.347
## - BiologicalMaterial11 1 3.616 116.64 17.432
## - ManufacturingProcess35 1 3.762 116.79 17.631
## - ManufacturingProcess13 1 4.368 117.39 18.459
## - ManufacturingProcess11 1 5.766 118.79 20.354
## - ManufacturingProcess37 1 7.071 120.10 22.101
## - ManufacturingProcess19 1 7.150 120.18 22.207
## - ManufacturingProcess28 1 8.388 121.42 23.847
## - ManufacturingProcess04 1 13.373 126.40 30.284
## - ManufacturingProcess33 1 16.116 129.14 33.719
## - ManufacturingProcess32 1 33.774 146.80 54.225
##
## Step: AIC=13.43
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess30 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess44 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess44 1 0.903 114.67 12.697
## - ManufacturingProcess07 1 1.252 115.02 13.183
## - ManufacturingProcess20 1 1.274 115.04 13.213
## - ManufacturingProcess36 1 1.330 115.09 13.291
## <none> 113.76 13.432
## - ManufacturingProcess24 1 1.447 115.21 13.454
## - ManufacturingProcess18 1 1.566 115.33 13.619
## - ManufacturingProcess42 1 1.714 115.48 13.824
## - ManufacturingProcess12 1 1.714 115.48 13.825
## - ManufacturingProcess30 1 1.903 115.67 14.086
## - BiologicalMaterial08 1 2.243 116.01 14.556
## - BiologicalMaterial02 1 2.329 116.09 14.674
## - BiologicalMaterial09 1 2.519 116.28 14.936
## - ManufacturingProcess45 1 2.609 116.37 15.060
## - BiologicalMaterial07 1 2.617 116.38 15.070
## - ManufacturingProcess16 1 2.755 116.52 15.260
## - ManufacturingProcess43 1 2.835 116.60 15.370
## - BiologicalMaterial05 1 2.927 116.69 15.496
## - ManufacturingProcess27 1 3.094 116.86 15.724
## - ManufacturingProcess14 1 3.136 116.90 15.782
## - ManufacturingProcess09 1 3.156 116.92 15.810
## - BiologicalMaterial03 1 3.338 117.10 16.059
## - ManufacturingProcess26 1 3.845 117.61 16.750
## - ManufacturingProcess35 1 3.930 117.69 16.865
## - BiologicalMaterial12 1 4.008 117.77 16.971
## - BiologicalMaterial11 1 4.516 118.28 17.660
## - ManufacturingProcess13 1 4.541 118.30 17.694
## - ManufacturingProcess11 1 5.632 119.40 19.163
## - ManufacturingProcess19 1 6.779 120.54 20.693
## - ManufacturingProcess37 1 7.463 121.23 21.598
## - ManufacturingProcess28 1 7.890 121.65 22.161
## - ManufacturingProcess04 1 12.637 126.40 28.285
## - ManufacturingProcess33 1 17.207 130.97 33.968
## - ManufacturingProcess32 1 35.015 148.78 54.366
##
## Step: AIC=12.7
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess30 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess42 +
## ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess42 1 0.834 115.50 11.857
## - ManufacturingProcess36 1 1.252 115.92 12.434
## - ManufacturingProcess07 1 1.262 115.93 12.448
## - ManufacturingProcess24 1 1.408 116.08 12.650
## - ManufacturingProcess12 1 1.416 116.08 12.660
## <none> 114.67 12.697
## - ManufacturingProcess20 1 1.442 116.11 12.697
## - ManufacturingProcess18 1 1.733 116.40 13.097
## - BiologicalMaterial08 1 1.784 116.45 13.167
## - ManufacturingProcess30 1 1.871 116.54 13.287
## - BiologicalMaterial02 1 1.897 116.56 13.323
## - ManufacturingProcess45 1 2.150 116.82 13.668
## - BiologicalMaterial07 1 2.276 116.94 13.842
## - BiologicalMaterial09 1 2.332 117.00 13.918
## - ManufacturingProcess16 1 2.687 117.35 14.403
## - ManufacturingProcess09 1 2.785 117.45 14.537
## - BiologicalMaterial03 1 2.805 117.47 14.563
## - ManufacturingProcess27 1 2.857 117.52 14.635
## - BiologicalMaterial05 1 2.911 117.58 14.708
## - ManufacturingProcess43 1 3.387 118.05 15.354
## - ManufacturingProcess14 1 3.403 118.07 15.375
## - ManufacturingProcess26 1 3.589 118.25 15.628
## - ManufacturingProcess35 1 3.691 118.36 15.766
## - BiologicalMaterial12 1 3.786 118.45 15.894
## - BiologicalMaterial11 1 3.909 118.58 16.060
## - ManufacturingProcess13 1 4.971 119.64 17.487
## - ManufacturingProcess11 1 5.623 120.29 18.357
## - ManufacturingProcess19 1 6.870 121.54 20.006
## - ManufacturingProcess37 1 7.246 121.91 20.500
## - ManufacturingProcess28 1 8.621 123.29 22.295
## - ManufacturingProcess04 1 12.040 126.71 26.672
## - ManufacturingProcess33 1 19.357 134.02 35.655
## - ManufacturingProcess32 1 35.417 150.08 53.763
##
## Step: AIC=11.86
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess30 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess36 + ManufacturingProcess37 + ManufacturingProcess43 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess36 1 1.029 116.53 11.276
## - ManufacturingProcess07 1 1.134 116.64 11.420
## - ManufacturingProcess24 1 1.358 116.86 11.727
## - ManufacturingProcess20 1 1.431 116.93 11.827
## <none> 115.50 11.857
## - ManufacturingProcess12 1 1.606 117.11 12.067
## - ManufacturingProcess30 1 1.661 117.16 12.141
## - ManufacturingProcess18 1 1.711 117.21 12.209
## - BiologicalMaterial08 1 1.985 117.48 12.583
## - BiologicalMaterial02 1 2.200 117.70 12.876
## - BiologicalMaterial07 1 2.266 117.77 12.965
## - BiologicalMaterial05 1 2.297 117.80 13.008
## - ManufacturingProcess09 1 2.681 118.18 13.528
## - ManufacturingProcess16 1 2.856 118.36 13.765
## - BiologicalMaterial03 1 2.870 118.37 13.784
## - ManufacturingProcess27 1 2.951 118.45 13.894
## - BiologicalMaterial09 1 2.989 118.49 13.944
## - BiologicalMaterial11 1 3.333 118.83 14.409
## - BiologicalMaterial12 1 3.491 118.99 14.621
## - ManufacturingProcess43 1 3.506 119.01 14.642
## - ManufacturingProcess26 1 3.646 119.15 14.829
## - ManufacturingProcess35 1 3.685 119.19 14.882
## - ManufacturingProcess14 1 3.738 119.24 14.953
## - ManufacturingProcess13 1 4.770 120.27 16.332
## - ManufacturingProcess11 1 5.428 120.93 17.205
## - ManufacturingProcess19 1 7.844 123.34 20.369
## - ManufacturingProcess37 1 8.229 123.73 20.868
## - ManufacturingProcess28 1 8.246 123.75 20.890
## - ManufacturingProcess04 1 12.865 128.37 26.754
## - ManufacturingProcess45 1 19.439 134.94 34.745
## - ManufacturingProcess33 1 19.595 135.10 34.930
## - ManufacturingProcess32 1 34.590 150.09 51.770
##
## Step: AIC=11.28
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess07 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess12 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess20 + ManufacturingProcess24 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess30 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess07 1 0.967 117.50 10.599
## - ManufacturingProcess20 1 1.232 117.76 10.959
## - ManufacturingProcess30 1 1.326 117.86 11.087
## <none> 116.53 11.276
## - ManufacturingProcess12 1 1.488 118.02 11.306
## - ManufacturingProcess18 1 1.508 118.04 11.333
## - ManufacturingProcess24 1 1.557 118.09 11.400
## - BiologicalMaterial08 1 1.789 118.32 11.713
## - BiologicalMaterial05 1 1.836 118.37 11.777
## - BiologicalMaterial07 1 1.943 118.47 11.922
## - BiologicalMaterial02 1 2.330 118.86 12.444
## - ManufacturingProcess09 1 2.393 118.92 12.529
## - BiologicalMaterial03 1 2.971 119.50 13.304
## - BiologicalMaterial09 1 3.035 119.56 13.390
## - BiologicalMaterial11 1 3.044 119.57 13.402
## - ManufacturingProcess16 1 3.047 119.58 13.406
## - ManufacturingProcess27 1 3.125 119.65 13.509
## - ManufacturingProcess43 1 3.171 119.70 13.572
## - ManufacturingProcess35 1 3.379 119.91 13.850
## - BiologicalMaterial12 1 3.498 120.03 14.008
## - ManufacturingProcess14 1 3.584 120.11 14.122
## - ManufacturingProcess26 1 3.742 120.27 14.334
## - ManufacturingProcess13 1 4.865 121.39 15.820
## - ManufacturingProcess11 1 5.199 121.73 16.260
## - ManufacturingProcess28 1 7.483 124.01 19.234
## - ManufacturingProcess37 1 7.770 124.30 19.603
## - ManufacturingProcess19 1 8.394 124.92 20.405
## - ManufacturingProcess04 1 13.387 129.92 26.676
## - ManufacturingProcess45 1 18.560 135.09 32.923
## - ManufacturingProcess33 1 19.081 135.61 33.539
## - ManufacturingProcess32 1 50.069 166.60 66.466
##
## Step: AIC=10.6
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess20 +
## ManufacturingProcess24 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess30 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess37 +
## ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess20 1 1.120 118.62 10.116
## - ManufacturingProcess18 1 1.403 118.90 10.498
## - ManufacturingProcess30 1 1.444 118.94 10.554
## <none> 117.50 10.599
## - ManufacturingProcess24 1 1.728 119.23 10.935
## - ManufacturingProcess12 1 1.743 119.24 10.956
## - BiologicalMaterial05 1 1.970 119.47 11.259
## - BiologicalMaterial08 1 1.971 119.47 11.260
## - BiologicalMaterial07 1 1.990 119.49 11.287
## - BiologicalMaterial02 1 2.389 119.89 11.819
## - ManufacturingProcess09 1 2.596 120.09 12.095
## - BiologicalMaterial03 1 2.895 120.39 12.494
## - ManufacturingProcess16 1 2.942 120.44 12.555
## - BiologicalMaterial09 1 3.029 120.53 12.671
## - BiologicalMaterial11 1 3.252 120.75 12.968
## - ManufacturingProcess14 1 3.499 121.00 13.293
## - ManufacturingProcess27 1 3.534 121.03 13.340
## - ManufacturingProcess43 1 3.564 121.06 13.379
## - BiologicalMaterial12 1 3.638 121.14 13.478
## - ManufacturingProcess26 1 4.243 121.74 14.275
## - ManufacturingProcess13 1 4.430 121.93 14.520
## - ManufacturingProcess35 1 5.053 122.55 15.336
## - ManufacturingProcess11 1 5.305 122.80 15.665
## - ManufacturingProcess37 1 6.803 124.30 17.604
## - ManufacturingProcess28 1 7.835 125.33 18.927
## - ManufacturingProcess19 1 8.303 125.80 19.524
## - ManufacturingProcess04 1 13.847 131.34 26.424
## - ManufacturingProcess33 1 19.642 137.14 33.332
## - ManufacturingProcess45 1 21.286 138.78 35.238
## - ManufacturingProcess32 1 50.509 168.01 65.812
##
## Step: AIC=10.12
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess24 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess30 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess37 + ManufacturingProcess43 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess30 1 1.331 119.95 9.901
## <none> 118.62 10.116
## - BiologicalMaterial05 1 1.584 120.20 10.238
## - BiologicalMaterial08 1 1.659 120.28 10.339
## - ManufacturingProcess12 1 1.834 120.45 10.572
## - BiologicalMaterial07 1 1.842 120.46 10.582
## - ManufacturingProcess24 1 1.856 120.47 10.601
## - BiologicalMaterial02 1 1.982 120.60 10.768
## - ManufacturingProcess16 1 2.385 121.00 11.301
## - ManufacturingProcess09 1 2.590 121.21 11.572
## - BiologicalMaterial03 1 2.591 121.21 11.574
## - BiologicalMaterial09 1 2.700 121.32 11.717
## - ManufacturingProcess14 1 3.299 121.92 12.505
## - BiologicalMaterial11 1 3.305 121.92 12.514
## - ManufacturingProcess18 1 3.382 122.00 12.614
## - ManufacturingProcess43 1 3.454 122.07 12.708
## - BiologicalMaterial12 1 3.998 122.61 13.420
## - ManufacturingProcess13 1 4.014 122.63 13.441
## - ManufacturingProcess11 1 4.357 122.97 13.888
## - ManufacturingProcess35 1 4.837 123.45 14.511
## - ManufacturingProcess19 1 7.223 125.84 17.574
## - ManufacturingProcess37 1 7.562 126.18 18.004
## - ManufacturingProcess28 1 7.726 126.34 18.212
## - ManufacturingProcess27 1 8.825 127.44 19.598
## - ManufacturingProcess26 1 9.581 128.20 20.544
## - ManufacturingProcess04 1 12.924 131.54 24.663
## - ManufacturingProcess33 1 20.351 138.97 33.451
## - ManufacturingProcess45 1 21.793 140.41 35.104
## - ManufacturingProcess32 1 51.741 170.36 66.037
##
## Step: AIC=9.9
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess24 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess24 1 1.385 121.33 9.738
## - BiologicalMaterial07 1 1.441 121.39 9.813
## - ManufacturingProcess12 1 1.482 121.43 9.866
## <none> 119.95 9.901
## - BiologicalMaterial05 1 1.545 121.49 9.949
## - ManufacturingProcess16 1 1.645 121.59 10.080
## - BiologicalMaterial08 1 1.650 121.60 10.088
## - ManufacturingProcess09 1 2.074 122.02 10.644
## - ManufacturingProcess18 1 2.083 122.03 10.656
## - BiologicalMaterial02 1 2.121 122.07 10.706
## - BiologicalMaterial09 1 2.136 122.08 10.726
## - BiologicalMaterial03 1 2.884 122.83 11.703
## - ManufacturingProcess43 1 3.140 123.09 12.036
## - ManufacturingProcess14 1 3.206 123.15 12.122
## - BiologicalMaterial11 1 3.652 123.60 12.700
## - ManufacturingProcess11 1 3.658 123.61 12.709
## - BiologicalMaterial12 1 3.990 123.94 13.137
## - ManufacturingProcess13 1 4.068 124.02 13.238
## - ManufacturingProcess35 1 4.154 124.10 13.348
## - ManufacturingProcess37 1 6.425 126.37 16.250
## - ManufacturingProcess28 1 7.350 127.30 17.417
## - ManufacturingProcess19 1 7.773 127.72 17.948
## - ManufacturingProcess27 1 8.115 128.06 18.376
## - ManufacturingProcess26 1 8.284 128.23 18.587
## - ManufacturingProcess04 1 12.508 132.46 23.772
## - ManufacturingProcess33 1 19.931 139.88 32.497
## - ManufacturingProcess45 1 20.555 140.50 33.209
## - ManufacturingProcess32 1 59.663 179.61 72.499
##
## Step: AIC=9.74
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial07 + BiologicalMaterial08 + BiologicalMaterial09 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess12 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess37 +
## ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial07 1 1.160 122.49 9.260
## - BiologicalMaterial08 1 1.304 122.64 9.449
## - ManufacturingProcess12 1 1.432 122.77 9.616
## <none> 121.33 9.738
## - BiologicalMaterial09 1 1.596 122.93 9.829
## - BiologicalMaterial02 1 1.605 122.94 9.840
## - BiologicalMaterial05 1 1.772 123.11 10.058
## - ManufacturingProcess16 1 2.035 123.37 10.400
## - BiologicalMaterial03 1 2.359 123.69 10.819
## - ManufacturingProcess09 1 2.386 123.72 10.854
## - ManufacturingProcess18 1 2.602 123.94 11.133
## - ManufacturingProcess14 1 2.896 124.23 11.512
## - ManufacturingProcess11 1 3.355 124.69 12.102
## - BiologicalMaterial11 1 3.442 124.77 12.213
## - ManufacturingProcess43 1 3.655 124.99 12.486
## - ManufacturingProcess35 1 3.917 125.25 12.822
## - ManufacturingProcess13 1 4.134 125.47 13.099
## - BiologicalMaterial12 1 4.272 125.61 13.275
## - ManufacturingProcess37 1 6.377 127.71 15.934
## - ManufacturingProcess19 1 7.199 128.53 16.961
## - ManufacturingProcess27 1 7.200 128.53 16.962
## - ManufacturingProcess26 1 7.356 128.69 17.156
## - ManufacturingProcess28 1 7.383 128.72 17.189
## - ManufacturingProcess04 1 13.141 134.47 24.191
## - ManufacturingProcess33 1 19.224 140.56 31.270
## - ManufacturingProcess45 1 19.253 140.59 31.303
## - ManufacturingProcess32 1 62.602 183.94 74.305
##
## Step: AIC=9.26
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial08 + BiologicalMaterial09 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess04 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess12 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess37 + ManufacturingProcess43 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - ManufacturingProcess12 1 0.853 123.34 8.370
## - BiologicalMaterial08 1 0.875 123.37 8.400
## - BiologicalMaterial09 1 1.233 123.72 8.862
## - BiologicalMaterial02 1 1.503 124.00 9.211
## <none> 122.49 9.260
## - ManufacturingProcess09 1 1.868 124.36 9.682
## - BiologicalMaterial05 1 1.886 124.38 9.706
## - ManufacturingProcess16 1 2.002 124.49 9.854
## - BiologicalMaterial03 1 2.393 124.89 10.356
## - ManufacturingProcess18 1 2.628 125.12 10.657
## - BiologicalMaterial11 1 3.214 125.71 11.404
## - ManufacturingProcess14 1 3.485 125.98 11.748
## - BiologicalMaterial12 1 3.845 126.34 12.206
## - ManufacturingProcess35 1 3.948 126.44 12.336
## - ManufacturingProcess43 1 4.176 126.67 12.625
## - ManufacturingProcess11 1 4.492 126.98 13.023
## - ManufacturingProcess13 1 4.920 127.41 13.562
## - ManufacturingProcess37 1 6.136 128.63 15.081
## - ManufacturingProcess28 1 7.363 129.86 16.601
## - ManufacturingProcess27 1 7.462 129.96 16.722
## - ManufacturingProcess26 1 7.607 130.10 16.901
## - ManufacturingProcess19 1 7.714 130.21 17.031
## - ManufacturingProcess04 1 12.866 135.36 23.241
## - ManufacturingProcess45 1 19.096 141.59 30.440
## - ManufacturingProcess33 1 19.476 141.97 30.870
## - ManufacturingProcess32 1 67.100 189.59 77.153
##
## Step: AIC=8.37
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial08 + BiologicalMaterial09 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess04 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial08 1 0.623 123.97 7.177
## - BiologicalMaterial09 1 0.980 124.33 7.637
## - BiologicalMaterial02 1 1.427 124.77 8.211
## <none> 123.34 8.370
## - ManufacturingProcess09 1 1.693 125.04 8.552
## - BiologicalMaterial05 1 2.013 125.36 8.961
## - BiologicalMaterial03 1 2.102 125.45 9.074
## - ManufacturingProcess16 1 2.312 125.66 9.342
## - ManufacturingProcess18 1 2.837 126.18 10.008
## - BiologicalMaterial11 1 3.088 126.43 10.327
## - ManufacturingProcess14 1 3.853 127.20 11.292
## - ManufacturingProcess35 1 3.945 127.29 11.407
## - BiologicalMaterial12 1 4.057 127.40 11.549
## - ManufacturingProcess11 1 4.158 127.50 11.676
## - ManufacturingProcess43 1 4.171 127.52 11.692
## - ManufacturingProcess28 1 6.511 129.86 14.601
## - ManufacturingProcess37 1 6.623 129.97 14.739
## - ManufacturingProcess19 1 7.033 130.38 15.243
## - ManufacturingProcess13 1 8.625 131.97 17.185
## - ManufacturingProcess27 1 9.288 132.63 17.987
## - ManufacturingProcess26 1 9.463 132.81 18.197
## - ManufacturingProcess04 1 12.445 135.79 21.750
## - ManufacturingProcess45 1 19.254 142.60 29.578
## - ManufacturingProcess33 1 19.428 142.77 29.773
## - ManufacturingProcess32 1 66.461 189.81 75.333
##
## Step: AIC=7.18
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial09 + BiologicalMaterial11 + BiologicalMaterial12 +
## ManufacturingProcess04 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess37 +
## ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial09 1 0.379 124.35 5.665
## - BiologicalMaterial02 1 0.811 124.78 6.221
## - BiologicalMaterial03 1 1.487 125.46 7.084
## <none> 123.97 7.177
## - ManufacturingProcess09 1 1.718 125.69 7.379
## - BiologicalMaterial05 1 1.772 125.74 7.448
## - ManufacturingProcess16 1 2.214 126.18 8.010
## - BiologicalMaterial11 1 2.475 126.44 8.340
## - ManufacturingProcess18 1 2.877 126.85 8.848
## - ManufacturingProcess14 1 3.494 127.46 9.624
## - BiologicalMaterial12 1 3.783 127.75 9.986
## - ManufacturingProcess43 1 4.089 128.06 10.369
## - ManufacturingProcess35 1 4.237 128.21 10.554
## - ManufacturingProcess11 1 5.809 129.78 12.504
## - ManufacturingProcess28 1 6.257 130.23 13.056
## - ManufacturingProcess37 1 6.695 130.66 13.593
## - ManufacturingProcess13 1 8.202 132.17 15.427
## - ManufacturingProcess19 1 9.189 133.16 16.618
## - ManufacturingProcess27 1 9.488 133.46 16.977
## - ManufacturingProcess26 1 9.681 133.65 17.208
## - ManufacturingProcess04 1 11.982 135.95 19.940
## - ManufacturingProcess45 1 18.799 142.77 27.768
## - ManufacturingProcess33 1 20.752 144.72 29.942
## - ManufacturingProcess32 1 76.221 200.19 81.855
##
## Step: AIC=5.67
## yield_train ~ BiologicalMaterial02 + BiologicalMaterial03 + BiologicalMaterial05 +
## BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 +
## ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess13 +
## ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 +
## ManufacturingProcess19 + ManufacturingProcess26 + ManufacturingProcess27 +
## ManufacturingProcess28 + ManufacturingProcess32 + ManufacturingProcess33 +
## ManufacturingProcess35 + ManufacturingProcess37 + ManufacturingProcess43 +
## ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial02 1 0.704 125.05 4.569
## - BiologicalMaterial03 1 1.175 125.52 5.171
## <none> 124.35 5.665
## - ManufacturingProcess09 1 1.888 126.24 6.077
## - ManufacturingProcess16 1 2.209 126.56 6.483
## - ManufacturingProcess18 1 3.013 127.36 7.496
## - ManufacturingProcess14 1 3.420 127.77 8.007
## - ManufacturingProcess43 1 3.752 128.10 8.422
## - ManufacturingProcess35 1 3.974 128.32 8.699
## - BiologicalMaterial12 1 4.292 128.64 9.095
## - BiologicalMaterial05 1 4.867 129.22 9.809
## - BiologicalMaterial11 1 4.981 129.33 9.949
## - ManufacturingProcess11 1 6.061 130.41 11.280
## - ManufacturingProcess37 1 6.398 130.75 11.694
## - ManufacturingProcess13 1 7.906 132.25 13.528
## - ManufacturingProcess28 1 8.158 132.50 13.832
## - ManufacturingProcess19 1 9.161 133.51 15.039
## - ManufacturingProcess27 1 10.321 134.67 16.423
## - ManufacturingProcess26 1 10.553 134.90 16.698
## - ManufacturingProcess04 1 11.971 136.32 18.372
## - ManufacturingProcess45 1 20.283 144.63 27.842
## - ManufacturingProcess33 1 20.526 144.87 28.111
## - ManufacturingProcess32 1 80.668 205.02 83.666
##
## Step: AIC=4.57
## yield_train ~ BiologicalMaterial03 + BiologicalMaterial05 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess04 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## - BiologicalMaterial03 1 0.472 125.52 3.172
## <none> 125.05 4.569
## - ManufacturingProcess09 1 2.159 127.21 5.308
## - ManufacturingProcess16 1 2.450 127.50 5.674
## - ManufacturingProcess18 1 2.899 127.95 6.235
## - ManufacturingProcess14 1 3.411 128.46 6.875
## - ManufacturingProcess35 1 3.773 128.82 7.325
## - ManufacturingProcess43 1 3.887 128.94 7.467
## - BiologicalMaterial12 1 4.177 129.23 7.826
## - BiologicalMaterial05 1 4.631 129.68 8.388
## - BiologicalMaterial11 1 5.402 130.45 9.336
## - ManufacturingProcess11 1 5.609 130.66 9.590
## - ManufacturingProcess37 1 6.985 132.04 11.265
## - ManufacturingProcess28 1 8.333 133.39 12.891
## - ManufacturingProcess19 1 8.781 133.83 13.427
## - ManufacturingProcess13 1 9.171 134.22 13.892
## - ManufacturingProcess27 1 10.836 135.89 15.865
## - ManufacturingProcess26 1 11.085 136.14 16.159
## - ManufacturingProcess04 1 13.136 138.19 18.550
## - ManufacturingProcess33 1 22.120 147.17 28.628
## - ManufacturingProcess45 1 23.004 148.06 29.587
## - ManufacturingProcess32 1 79.964 205.02 81.666
##
## Step: AIC=3.17
## yield_train ~ BiologicalMaterial05 + BiologicalMaterial11 + BiologicalMaterial12 +
## ManufacturingProcess04 + ManufacturingProcess09 + ManufacturingProcess11 +
## ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 +
## ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess26 +
## ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess32 +
## ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess37 +
## ManufacturingProcess43 + ManufacturingProcess45
##
## Df Sum of Sq RSS AIC
## <none> 125.52 3.172
## - ManufacturingProcess16 1 2.712 128.24 4.593
## - ManufacturingProcess18 1 2.985 128.51 4.932
## - ManufacturingProcess09 1 3.133 128.66 5.117
## - ManufacturingProcess14 1 3.443 128.97 5.501
## - ManufacturingProcess43 1 3.850 129.37 6.006
## - ManufacturingProcess35 1 3.972 129.50 6.156
## - BiologicalMaterial11 1 5.111 130.63 7.557
## - ManufacturingProcess11 1 5.233 130.76 7.707
## - BiologicalMaterial12 1 5.490 131.01 8.021
## - BiologicalMaterial05 1 5.790 131.31 8.387
## - ManufacturingProcess37 1 7.186 132.71 10.080
## - ManufacturingProcess28 1 7.999 133.52 11.056
## - ManufacturingProcess19 1 8.362 133.89 11.491
## - ManufacturingProcess13 1 8.906 134.43 12.139
## - ManufacturingProcess27 1 13.519 139.04 17.537
## - ManufacturingProcess26 1 13.866 139.39 17.936
## - ManufacturingProcess04 1 14.766 140.29 18.966
## - ManufacturingProcess33 1 21.656 147.18 26.637
## - ManufacturingProcess45 1 23.226 148.75 28.335
## - ManufacturingProcess32 1 82.011 207.54 81.621##
## Call:
## lm(formula = yield_train ~ BiologicalMaterial05 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess04 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45,
## data = yb)
##
## Coefficients:
## (Intercept) BiologicalMaterial05 BiologicalMaterial11
## -1.118e+02 1.646e-01 -1.081e-01
## BiologicalMaterial12 ManufacturingProcess04 ManufacturingProcess09
## 6.898e-01 6.754e-02 2.183e-01
## ManufacturingProcess11 ManufacturingProcess13 ManufacturingProcess14
## 5.135e-01 -5.186e-01 3.854e-03
## ManufacturingProcess16 ManufacturingProcess18 ManufacturingProcess19
## 4.033e-04 4.120e-04 8.067e-03
## ManufacturingProcess26 ManufacturingProcess27 ManufacturingProcess28
## 1.209e-02 -1.569e-02 -6.411e-02
## ManufacturingProcess32 ManufacturingProcess33 ManufacturingProcess35
## 2.979e-01 -3.425e-01 -1.648e-02
## ManufacturingProcess37 ManufacturingProcess43 ManufacturingProcess45
## -5.340e-01 1.946e-01 1.053e+00lmod_step<-lm(formula = yield_train ~ BiologicalMaterial05 + BiologicalMaterial11 + BiologicalMaterial12 + ManufacturingProcess04 + ManufacturingProcess09 + ManufacturingProcess11 + ManufacturingProcess13 + ManufacturingProcess14 + ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 + ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 + ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 + ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45, data = yb)
summary(lmod_step)##
## Call:
## lm(formula = yield_train ~ BiologicalMaterial05 + BiologicalMaterial11 +
## BiologicalMaterial12 + ManufacturingProcess04 + ManufacturingProcess09 +
## ManufacturingProcess11 + ManufacturingProcess13 + ManufacturingProcess14 +
## ManufacturingProcess16 + ManufacturingProcess18 + ManufacturingProcess19 +
## ManufacturingProcess26 + ManufacturingProcess27 + ManufacturingProcess28 +
## ManufacturingProcess32 + ManufacturingProcess33 + ManufacturingProcess35 +
## ManufacturingProcess37 + ManufacturingProcess43 + ManufacturingProcess45,
## data = yb)
##
## Residuals:
## Min 1Q Median 3Q Max
## -2.42420 -0.55312 -0.03636 0.45856 2.44146
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -1.118e+02 2.422e+01 -4.617 8.77e-06 ***
## BiologicalMaterial05 1.646e-01 6.501e-02 2.532 0.012449 *
## BiologicalMaterial11 -1.081e-01 4.544e-02 -2.379 0.018721 *
## BiologicalMaterial12 6.898e-01 2.798e-01 2.466 0.014897 *
## ManufacturingProcess04 6.754e-02 1.670e-02 4.044 8.68e-05 ***
## ManufacturingProcess09 2.183e-01 1.172e-01 1.863 0.064613 .
## ManufacturingProcess11 5.135e-01 2.133e-01 2.407 0.017386 *
## ManufacturingProcess13 -5.186e-01 1.651e-01 -3.140 0.002062 **
## ManufacturingProcess14 3.854e-03 1.974e-03 1.953 0.052888 .
## ManufacturingProcess16 4.033e-04 2.327e-04 1.733 0.085293 .
## ManufacturingProcess18 4.120e-04 2.266e-04 1.818 0.071210 .
## ManufacturingProcess19 8.068e-03 2.651e-03 3.043 0.002801 **
## ManufacturingProcess26 1.209e-02 3.086e-03 3.918 0.000139 ***
## ManufacturingProcess27 -1.569e-02 4.056e-03 -3.869 0.000167 ***
## ManufacturingProcess28 -6.411e-02 2.154e-02 -2.976 0.003443 **
## ManufacturingProcess32 2.979e-01 3.126e-02 9.530 < 2e-16 ***
## ManufacturingProcess33 -3.425e-01 6.993e-02 -4.897 2.66e-06 ***
## ManufacturingProcess35 -1.648e-02 7.858e-03 -2.097 0.037791 *
## ManufacturingProcess37 -5.340e-01 1.893e-01 -2.821 0.005489 **
## ManufacturingProcess43 1.946e-01 9.425e-02 2.065 0.040806 *
## ManufacturingProcess45 1.053e+00 2.076e-01 5.071 1.24e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9503 on 139 degrees of freedom
## Multiple R-squared: 0.7694, Adjusted R-squared: 0.7363
## F-statistic: 23.19 on 20 and 139 DF, p-value: < 2.2e-16par(mfrow=c(2,2))
#plot(lmod_step)
yb_step<-yb|>
select(BiologicalMaterial05, BiologicalMaterial11, BiologicalMaterial12, ManufacturingProcess04, ManufacturingProcess09, ManufacturingProcess11, ManufacturingProcess13, ManufacturingProcess14, ManufacturingProcess16, ManufacturingProcess18, ManufacturingProcess19, ManufacturingProcess26, ManufacturingProcess27, ManufacturingProcess28, ManufacturingProcess32, ManufacturingProcess33, ManufacturingProcess35, ManufacturingProcess37, ManufacturingProcess43, ManufacturingProcess45)
cor_res <- cor(yb_step, use = "na.or.complete")
corrplot(cor_res,
type = "lower",
order = "original",
tl.col = "Blue",
tl.srt = 45,
tl.cex = 0.5)
The adjusted R2 increases from 0.6909 to 0.7363 and the number of predictors are also reduced to 20.
Studying the correlation plot, there are several predictors with correlation and the model can be further reduced.
#PLS works fine with previous model, I try PLS for this one
bio_manu_pls <- train(x = bio_manu_train, y = yield_train, method = "pls", tuneLength = 20, trControl = trainControl(method = "cv"), preProcess = c("center", "scale"))
bio_manu_pls## Partial Least Squares
##
## 160 samples
## 57 predictor
##
## Pre-processing: centered (57), scaled (57)
## Resampling: Cross-Validated (10 fold)
## Summary of sample sizes: 144, 144, 144, 144, 144, 144, ...
## Resampling results across tuning parameters:
##
## ncomp RMSE Rsquared MAE
## 1 1.502029 0.4244345 1.1859175
## 2 1.909408 0.4589235 1.2094355
## 3 1.289370 0.5697246 0.9943014
## 4 1.380517 0.5635981 1.0284464
## 5 1.674127 0.5418160 1.1062891
## 6 1.707626 0.5400568 1.1156499
## 7 1.910232 0.5363292 1.1797531
## 8 2.031543 0.5328942 1.2143440
## 9 2.259358 0.5114572 1.2741002
## 10 2.568047 0.4969048 1.3568189
## 11 2.887111 0.4797314 1.4510157
## 12 3.203517 0.4613498 1.5412134
## 13 3.306200 0.4682177 1.5618397
## 14 3.328298 0.4764512 1.5606107
## 15 3.379936 0.4877945 1.5690664
## 16 3.447023 0.4906652 1.5821521
## 17 3.425474 0.4948194 1.5797404
## 18 3.348002 0.4860736 1.5662277
## 19 3.263692 0.4832530 1.5485663
## 20 3.286738 0.4777206 1.5513903
##
## RMSE was used to select the optimal model using the smallest value.
## The final value used for the model was ncomp = 3.plot(bio_manu_pls)
With ncomp equals 3, the RMSE and R2 and 1.258151 and 0.5928223 respectively. It is not as good as linear regression model in terms of R2.
- Predict the response for the test set. What is the value of the performance metric and how does this compare with the resampled performance metric on the training set?
library(pls)## Warning: 程辑包'pls'是用R版本4.2.3 来建造的##
## 载入程辑包：'pls'## The following object is masked from 'package:corrplot':
##
## corrplot## The following object is masked from 'package:caret':
##
## R2## The following object is masked from 'package:stats':
##
## loadingspls_fit <- plsr(yield_train~ ., data=yb, ncomp=3)
R2(pls_fit)## (Intercept) 1 comps 2 comps 3 comps
## 0.0000 0.1016 0.1101 0.1231pls_predict <- predict(pls_fit, bio_manu_test, ncomp=3)
pls_vals <- data.frame(obs=yield_test, pred=pls_predict)|>
dplyr::select(obs, `pred`=yield_train.3.comps)
#Default summary
defaultSummary(pls_vals)## RMSE Rsquared MAE
## 1.4314620 0.5254539 1.1686945Based on the value of R2, it’s not as good as resampled performance metric on the training set.
- Which predictors are most important in the model you have trained? Do either the biological or process predictors dominate the list?
varImp(pls_fit)|>arrange(desc(Overall))varImp(lmod_step)|>arrange(desc(Overall))Different models show importance on different predictors. Linear model shows ManufacturingProcess12 is the most important whilst PSL model shows ManufacturingProcess32 is the most importance based on the magnitude of coefficient.
Manufacturing process predictors dominate the list.
- Explore the relationships between each of the top predictors and the response. How could this information be helpful in improving yield in future runs of the manufacturing process.
#Using the data from PLS
top3 <- ChemicalManufacturingProcess|>
select(Yield, ManufacturingProcess32, ManufacturingProcess45, ManufacturingProcess33)
ggplot(top3, aes(x=ManufacturingProcess32,y=Yield)) + geom_point()
ggplot(top3, aes(x=ManufacturingProcess45,y=Yield)) + geom_point()
ggplot(top3, aes(x=ManufacturingProcess33,y=Yield)) + geom_point()
cor_res_t3 <- cor(top3, use = "na.or.complete")
corrplot::corrplot(cor_res_t3,
type = "lower",
order = "original",
tl.col = "Blue",
tl.srt = 45,
tl.cex = 0.5)
Since there are strong correlation between yield and top 3 predictors, the yield can be improved significantly by improving those manufacturing processes.