PCR model is Y= 15+0.2PC1+1.62PC3, my predictor variables are meteorological parameters (T=26oC, H=83%, WS 5km/hr and WD 120o ) and my dependent variable is Particulate matter (Y). How do I calculate Y?
Dear Amina. In PCA, there is linear fomula that illustrated by principle component. For example PC1=beta1*x1+beta2*x2+e1. So you can calculate predicted values under the new data. Firstly, check component matrix in the result of PCA. and then check the regression result. In your case, if you has 4 variabels, fomula is like that
Y=15+0.2(beta1*x1+beta2*x2+beta3*x*+beta4*x4)+1.62(beta9*x1+beta10*x2+beta11*x3+beta12*x4).
where, PC2 can be calculated. I guess it is eliminated due to significant. right?
In summary, you can get a matrix of principle component score in PCA. and then you can calculate the predicted values.
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