Example: Assume that during a three-hour period spent outside, a person recorded the outside temperature, the time spent mowing the grass, and their water consumption.  

Use Minitab to find the standardized regression equation for the amount of water consumed based on the temperature and the time spent mowing.  You will still have to input some of the formulas to standardize the coefficients when using Minitab.

Preliminaries: Entering the data. 

• Enter the Water data in column 1, Temperature data in column 2, and Mowing Time in column 3.  Put the category names in the title row.
• If you need help entering the data, see the Introduction to Minitab tutorial.

Procedure for finding the Standardized Regression Equation
It might help to print this out while working through the example using Minitab.

1.  In the C4 title row, type 'new water', click Calc>Standardize 

   • Mark the button Subtract mean and divide by the standard deviation

   • In the input column, select water and store results in new water.

   • Click OK.

2. In the C5 title row, type in 'Water Transform', click Calc>Calculator

   • In the Store result in variable box, select water transform.

   • Under the expression box, type in (1/sqrt(6))* 'new water'

   • Click OK. (your values should be like the ones below)

    

   water	temperature	mowing	new water	water transform
   16	75	1.85	-1.16438	-0.475357
   20	83	1.25	-0.85089	-0.347376
   25	85	1.50	-0.45904	-0.187400
   27	85	1.75	-0.30229	-0.123410
   32	92	1.15	0.08957	0.036566
   48	97	1.75	1.34352	0.548489
   48	99	1.60	1.34352	0.548489

3. In C6 title row, type 'new temp', click Calc>Standardize

   • Mark the button Subtract mean and divide by the standard deviation.

   • In the input column, select temperature and store results in new temp.

   • Click OK.

4. in the C7 title row, type 'temp transform', click Calc>Calculator

   • In the Store result in variable box, select temp transform.

   • Under the expression box, type in (1/sqrt(6))* 'new temp'

   • Click OK.

5. Do the same steps for the new mowing and transform mowing. 

6. Now that we you have transformed the variables, click Stat>Regression>Regression

   • In the Response box, select water transform.

   • In the Predictor(s) box, select temp. transform and mowing transform .

   • Click OK.

    Check your solution output for the standardized regression equation.

Learn how to interpret the output.

Learn the Procedure for finding the Standardized Multiple Regression Equation

Regression Tutorial Menu    Dictionary

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