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# Regression Analysis: Incarceration Services of AIU data

See attached data file.

First run a regression analysis using the Incarceration Services column of all data points in the AIU data set from Unit 1 as the independent variable and the Legal Services satisfaction column of all data points in the AIU data set as the dependent variable.

Run a second regression analysis using the Incarceration Services column of all data points in the AIU data set as the independent variable and the Sentence satisfaction column of all data points in the AIU data set as the dependent variable.

Run a third regression analysis using the Incarceration Services column of all data points in the AIU data set as the independent variable and the Criminal Justice satisfaction column of all data points in the AIU data set as the dependent variable.

Create a graph with the trendline displayed for each of the 3 different regressions. What are the least squares regression-line equations for each of the 3 different regressions? What are the slopes and the y-intercepts? What are the R-squared values for the 3 different regressions? Finally, make very specific comments and give reasons regarding any similarities or differences in the output results. Which regression produces the strongest correlation coefficient result? Why?

#### Solution Summary

The solution provides step by step method for the calculation of regression analysis on AIU job satisfaction date set. Formula for the calculation and Interpretations of the results are also included.

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