# Simple Regression Analyses

Using the attached Excel file as your processing tool, work through three simple regression analyses. Please refer to the attached data files for these analyses.

1. 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. Create a graph with the trend line displayed. What is the least squares regression line equation? What are the slope and the y-intercept? What is the R-squared value?

2. 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. Create a graph with the trend line displayed. What is the least squares regression line equation? What are the slope and the y-intercept? What is the R-squared value?

3. 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. Create a graph with the trend line displayed. What is the least squares regression line equation? What are the slope and the y-intercept? What is the R-squared value?

4. 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 Preview

Please see the attached files.

1. Please view the attached file for the graph pertaining to this question.

The least squares regression line is: y = -0.2595x + 6.5374, where

x = Benefits

y = Intrinsic satisfaction

The slope of the regression line is -0.2595 and the y-intercept is 6.5374. The R-squared value is 0.0796, or 7.96%.

2. Please view the attached file for the graph pertaining to this question.

The least squares regression line is: y = 0.4623x + 2.9764, where

x = Benefits

y = Extrinsic satisfaction

The slope of the regression line is 0.4623 and the y-intercept is 2.9764. The R-squared value is 0.1401, or 14.01%.

3. Please view the attached file for the graph ...

#### Solution Summary

Based on a set of data, the regression line equation, the slope and y-intercept, and the R-squared value is calculated for multiple variables.