# Simple Regressions and Multiple Regressions

What is simple linear regression?

How is regression used to create equations and to make predictions?

Should variables be strongly correlated in order to use one to predict the other?

How is regression used to generate prediction equations in SPSS?

How are prediction equations used to make predictions?

What is multiple linear regression?

How are predictions made using multiple linear regression equations?

How are dependent (criterion) and independent variables identified?

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#### Solution Preview

What is simple linear regression?

The simple linear regression is a method to determine the relationship between one dependent variable and one independent variable.

How is regression used to create equations and to make predictions?

We use the method of least squares. That is, we minimize the sum of the squared residuals where residuals are difference between acutal data and predicted data. After that, we will get the estimate of slope and intercept.

Should variables be strongly correlated in order to use one to predict the ...

#### Solution Summary

The solution gives a detailed discussion on simple regressions and multiple regressions including concept and analysis.