# Linear Regression Analysis on Three Variables

My task is to perform a regression analysis on ten people based upon their scores for 3 variables. The independent variables are extraversion, cognitive skills, and communication ability. The dependent variable is sales performance. Based on this regression analysis, I have to hire 2 people from a listing based upon their scores for the same 3 independent variables and justify the hiring; here are the list of applicants:

Applicant Extraversion Cognitive Skills Communication Ability

John Smith 5 9 17

Jane Doe 4 6 11

Burt McIntyre 7 13 19

Elizabeth Reddin 3 5 7

James Golstein 6 12 15

Shawn George 4 10 7

Susan Williams 3 6 8

Jose Valencia 5 10 12

Levi Ogletree 6 14 20

Pat Sylvester 2 8 6

I performed the regression analysis, which is attached. My problem is that I don't understand how to interpret the analysis for the problem. So, far, I understand that 74% of sales earnings are explained by the 3 independent variables (based upon the adjusted R square of .748.

How then do I use this regression analysis to decide which 2 people to hire? My instructor has also given us a formula to use which I don't understand. Here is the instruction: Interpret the results and write the regression equation using the following format:

Y = (b1 x X1) + (b2 x X2) + (b3 x X3) + a, where a is the intercept, and the bs are regression coefficients.

https://brainmass.com/statistics/simple-linear-regression/linear-regression-analysis-three-variables-602969

#### Solution Summary

This solution contains step-by-step calculations to determine a linear regression fit model on the scores of the three variables for 10 people.