Last Updated - 2016-05-16

Introduction

The previous May model round 1 predicted model of 47533 managed to have an close approximate of May Round 1 actual premium 47889, with differences of $356. The model will now add in new data and attempt to forecast the May 2016 COE Premium Category A Round 2.

Data source is from here

Determine COE Premium for NEW vehicle bid

## Warning in TentativeRoughFix(boruta.train): There are no Tentative attributes! Returning original
## object.

## [1] "PQP"   "QUOTA" "BIDS"

We will create some linear regression model equations to forecast PREMIUM based on these variables.

## 
## Call:
## lm(formula = PREMIUM ~ PQP + QUOTA, data = traindata)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -18915.8  -3362.0   -558.4   3804.6  17057.8 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  1.170e+04  2.049e+03   5.708 5.92e-08 ***
## PQP          8.561e-01  2.948e-02  29.038  < 2e-16 ***
## QUOTA       -3.815e+00  1.022e+00  -3.732 0.000269 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 5882 on 150 degrees of freedom
## Multiple R-squared:  0.8657, Adjusted R-squared:  0.8639 
## F-statistic: 483.3 on 2 and 150 DF,  p-value: < 2.2e-16
## 
## Call:
## lm(formula = PREMIUM ~ PQP, data = traindata)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -17987.9  -3436.2   -677.1   3999.4  17867.1 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 7299.6671  1746.9188   4.179 4.95e-05 ***
## PQP            0.8828     0.0298  29.622  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6129 on 151 degrees of freedom
## Multiple R-squared:  0.8532, Adjusted R-squared:  0.8522 
## F-statistic: 877.5 on 1 and 151 DF,  p-value: < 2.2e-16

The PQP is a 3 month moving average and it is a known number published here which is 45578 for May 2016 Category A. I will plug this value into the 2 equations.

Adjusted R Square is 86.39% with PQP + Quota coefficients. Predicted COE Premium is 42255.

* Adjusted R Square is 85.22% with PQP coefficient only. Predicted COE Premium is 47536.