# AIU Benefits Data: Regression, Lease Squares, Y-intercepts

See attached data file to complete this task.

Prepare a report using Excel as your processing tool to process 3 simple regression analyses. Create a graph with the trend line displayed for each of the 3 different regressions.

First run a regression analysis using the BENEFITS column of all data points in the AIU data set as the independent variable and the INTRINSIC job satisfaction column of all data points in the AIU data set as the dependent variable.

Run a regression analysis using the BENEFITS column of all data points in the AIU data set as the independent variable and the EXTRINSIC job satisfaction column of all data points in the AIU data set as the dependent variable.

Run a regression analysis using the BENEFITS column of all data points in the AIU data set as the independent variable and the OVERALL job satisfaction column of all data points in the AIU data set as the dependent variable.

Then answer the following questions:

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?

https://brainmass.com/statistics/regression-analysis/aiu-benefits-data-regression-lease-squares-y-intercepts-312668

#### Solution Preview

The solution file is attached.

(a) Regression Equation: y = 0.0249x + 3.723; Slope = 0.0249; y- Intercept = 3.723; R^2 = 0.025

(b) Regression Equation: y = -0.326x + 6.752; Slope = -0.326; y- Intercept = 6.752; R^2 = 0.043

(c) Regression Equation: y = 0.059x + 4.979; Slope = 0.059; y- Intercept = 4.979; R^2 = 0.001` ...

#### Solution Summary

This solution is comprised of a complete, neat and step-by-step response. The graphs are enclosed in an attached Excel file and the written portion of this task has been completed in about 200 words.