The Standardized Multiple Regression equation is too complicated to do "by-hand," but we will look at the formulas that are used to calculate the model for the Temperature/ Mowing Time/Water example.

Formulas for the Correlation Transformation

These formulas help control the amount of error and express the coefficients in the same units.

• To transform the y coefficients, we will use the following formula:

where is the mean value,  and the standard deviation

• To transform the x coefficients, we will use the following formula:

where = sample mean for the kth independent variable, and the standard deviation

After finding the Y' and X' transformed variables, the standardized regression model is:

From this model, we can show that the standardized regression parameters are related to the original regression parameters by scaling factors.  The parameters are related as follows:

where (k=1,......,p-1) and p-1= number of predictor variables

and

**Since these calculations can be tedious, we will use these formulas and  MSExcel and Minitab to help calculate the standardized regression equation**

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