Solutions for Quality

  Case Study: Correlation and Regression Analysis
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Phone: 614-245-0503

Fax:     614-573-7238

sqps@shraimqps.com

PO Box 218132

Columbus, OH 43221

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Project Our client, a regional manufacturer, approached SQPS with a request to analyze historical data. From the analysis, our client was interested in identifying relationships among variables and to be able to predict some response variables given the values of independent variables. There were 21 independent variables and a response (Throughput).

 

Approach Our approach can be summarized as follows:
  • A team consisting of the client's continuous improvement associates was assembled
  • Historical data was reviewed to ensure accuracy, validity and completeness
  • Some data transformation was conducted
  • Correlation analysis was performed to identify relationships among independent variables
  • Stepwise regression was run to develop a prediction formula
  • Prediction formula was verified using other raw data
Results The results showed that
  • Relationships among independent variables were identified.
  • highly correlated variables were examined as we only needed one of each pair for the prediction model
  • A prediction model for "Throughput" was estimated with R-Sq of 88%. This means that 88% of the variability in the "Throughput" data was explained by the effect of the model. This was a very reliable prediction model.