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# Simple Regressions and Multiple Regressions

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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?

https://brainmass.com/statistics/regression-analysis/simple-regressions-and-multiple-regressions-581659

#### 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.

\$2.19

## Simple analysis - You may add any second variable

You may add any second variable.Please find attached a simple regression analysis, and make it a multiple regression analysis example(i.e., with two independent variables). I have attached the one variable analysis (simple) for reference. You may add any variable with any dummy data.

(a) Please address your final choice between the simple regression model and the multiple regression model. State why or why not (based on the adjusted R-square, or other justified reasons). Manual work is mainly finding n, p, and R-square,etc. The Excel stats functional work is mainly showing the computer printout from using "Data Analysis" in Excel.

(b) Make residual analysis to check if the regression model assumptions are valid or not.

Height (in) Weight (lbs)
71 125
70.5 119
71 128
72 128
70 119
70 127
66.5 105
70 123
71 115

Is there a relatinship between the height and weight of a group of teenage girls?
Find the linear regression equation to use the height to predict the weight.

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