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Can we have Monte Carlo simulation in regression parameters

Hello:

I was just wondering if there is a way to incorporate Monte-Carlo simulation in regression parameters.

I guess once I have the regression equation I can run a Monte-Carlo simulation by specifying a distribution for each parameter and get the distribution of the output parameter.

Q1) But while creating that regression equation will three data points (one at each LSL and USL of tolerance zone and one in the middle) for each parameter suffice?

I am guessing I will need two runs of DOE, one to find the significant factors. and than another run on significant factors varying in the tolerance zone.

My ultimate goal is to vary the tolerance limit of each parameter in the system created by regression equation and get the failure rates within the acceptable limit.

Q2) How many replicates should I do?

Please accept my apologies, if the question seems to be stupid and please explain where my understanding is flawed.

Best Regards,

VarunK

Advanced Statistical Modeling

Basic Data Analysis and Modeling

Design of Experiments

Predictive Modeling and Machine Learning

Quality and Process Engineering

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