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Statistical Quality Control

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Partial and Multiple Correlation Coefficient

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  PARTIAL CORRELATION   MULTIPLE CORRELATION   When the value of a variable is influenced by another variable, the relationship between them is a simple correlation. In a real-life situation, a variable may be influenced by many other variables. For example, the sales achieved for a product may depend on the income of the consumers, the price, the quality of the product, sales promotion techniques, the channels of distribution, etc. In this case, we have to consider the joint influence  of several independent variables on the dependent variable. Multiple correlations arise in this context. Coefficient Of Multiple Linear Correlations   The coefficient of multiple linear correlation is given in terms of the partial correlation coefficients as follows:
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