Question
I am performing a multivariate linear regression from a survey of students about their experience in the local dinning facility. The question is how to
I am performing a multivariate linear regression from a survey of students about their experience in the local dinning facility. The question is how to organize the solution steps. They ask, "What predicts retention with the students when looking at the 13 quality questions?" Retention is the independent variable and quality factors are dependent. I did a regression on this that shows significance in 5 of the 13 quality questions, and now the second part of the question asks, "develop a model with the gender of the respondent and estimate the difference in retention between male and female respondents." How do I arrange the data and what type of ANOVA would I use? Thanks, Paul
| Gender | Q2 | Q3 | Q4 | Q5 | Q6 | Q7 | Q8 | Q9 | Q10 | Q11 | Q12 | Q13 | Q14 | Retention |
| 2 | 4 | 3 | 5 | 4 | 5 | 4 | 4 | 5 | 5 | 5 | 5 | 3 | 4 | 1 |
| 1 | 4 | 4 | 3 | 4 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 4 | 5 | 2 |
| 2 | 4 | 3 | 3 | 3 | 3 | 3 | 4 | 4 | 5 | 3 | 3 | 3 | 3 | 1 |
| 2 | 5 | 4 | 3 | 4 | 4 | 5 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | 1 |
| 1 | 3 | 3 | 5 | 3 | 2 | 4 | 3 | 4 | 5 | 4 | 4 | 3 | 3 | 3 |
| 2 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 5 | 3 | 2 | 3 | 3 | 3 | 4 |
| 2 | 3 | 2 | 3 | 3 | 3 | 4 | 3 | 3 | 4 | 3 | 4 | 2 | 3 | 3 |
| 1 | 3 | 4 | 4 | 3 | 3 | 3 | 3 | 4 | 4 | 3 | 3 | 2 | 2 | 3 |
| 1 | 4 | 4 | 4 | 5 | 3 | 4 | 5 | 4 | 4 | 3 | 4 | 4 | 4 | 3 |
| 2 | 5 | 4 | 3 | 4 | 5 | 4 | 4 | 4 | 5 | 5 | 4 | 3 | 4 | 3 |
| 1 | 2 | 3 | 3 | 2 | 4 | 4 | 2 | 4 | 3 | 3 | 4 | 2 | 2 | 4 |
| 2 | 3 | 2 | 3 | 4 | 4 | 4 | 3 | 5 | 3 | 2 | 1 | 3 | 3 | 5 |
| 1 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 4 | 5 | 4 | 4 | 3 | 3 | 3 |
| 2 | 1 | 1 | 1 | 1 | 2 | 1 | 3 | 3 | 4 | 2 | 1 | 2 | 2 | 5 |
| 1 | 3 | 4 | 5 | 3 | 2 | 4 | 4 | 5 | 5 | 5 | 4 | 3 | 2 | 3 |
| 1 | 2 | 3 | 3 | 2 | 2 | 4 | 2 | 4 | 4 | 3 | 3 | 3 | 2 | 4 |
| 1 | 2 | 3 | 2 | 2 | 4 | 3 | 2 | 4 | 4 | 4 | 4 | 1 | 2 | 2 |
| 1 | 4 | 5 | 4 | 3 | 3 | 4 | 5 | 5 | 5 | 5 | 3 | 2 | 1 | 3 |
| 1 | 4 | 5 | 2 | 4 | 3 | 4 | 4 | 5 | 5 | 4 | 4 | 2 | 3 | 3 |
| 1 | 3 | 3 | 3 | 3 | 4 | 1 | 2 | 2 | 4 | 4 | 3 | 2 | 1 | 3 |
| 1 | 4 | 4 | 4 | 4 | 2 | 4 | 4 | 5 | 4 | 3 | 1 | 4 | 3 | 4 |
| 2 | 2 | 2 | 2 | 1 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 4 |
| 1 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 3 | 3 | 4 | 2 | 5 | 3 | 4 |
| 1 | 2 | 1 | 1 | 2 | 2 | 3 | 2 | 4 | 4 | 4 | 3 | 2 | 2 | 3 |
| 1 | 4 | 4 | 5 | 3 | 3 | 5 | 4 | 5 | 2 | 2 | 1 | 1 | 2 | 3 |
| 1 | 4 | 3 | 2 | 3 | 3 | 3 | 2 | 5 | 4 | 3 | 2 | 1 | 3 | 4 |
| 1 | 4 | 3 | 3 | 4 | 1 | 5 | 3 | 5 | 3 | 1 | 3 | 2 | 2 | 4 |
| 1 | 1 | 1 | 1 | 3 | 1 | 2 | 2 | 5 | 2 | 1 | 5 | 2 | 3 | 1 |
| 1 | 3 | 2 | 1 | 2 | 1 | 5 | 3 | 5 | 3 | 3 | 4 | 1 | 2 | 5 |
| 1 | 4 | 4 | 3 | 4 | 4 | 5 | 3 | 5 | 5 | 4 | 4 | 3 | 4 | 3 |
| 2 | 3 | 2 | 2 | 3 | 3 | 4 | 3 | 4 | 4 | 4 | 3 | 1 | 3 | 2 |
| 1 | 3 | 1 | 2 | 4 | 3 | 4 | 4 | 4 | 4 | 3 | 1 | 4 | 2 | 3 |
| 1 | 3 | 2 | 4 | 4 | 3 | 3 | 3 | 4 | 4 | 4 | 5 | 3 | 5 | 3 |
| 1 | 4 | 3 | 4 | 5 | 4 | 5 | 5 | 5 | 5 | 4 | 4 | 3 | 4 | 3 |
| 1 | 4 | 4 | 3 | 4 | 5 | 2 | 4 | 3 | 3 | 1 | 1 | 4 | 4 | 3 |
| 2 | 3 | 5 | 5 | 5 | 3 | 5 | 5 | 5 | 5 | 3 | 1 | 2 | 3 | 3 |
| 1 | 5 | 3 | 4 | 4 | 3 | 4 | 4 | 5 | 5 | 3 | 1 | 3 | 3 | 3 |
| 1 | 3 | 2 | 3 | 2 | 4 | 3 | 3 | 4 | 5 | 4 | 4 | 4 | 3 | 2 |
| 1 | 3 | 4 | 2 | 2 | 4 | 2 | 3 | 4 | 5 | 3 | 3 | 1 | 2 | 3 |
| 1 | 3 | 1 | 1 | 5 | 4 | 5 | 4 | 5 | 5 | 4 | 1 | 2 | 2 | 5 |
| 2 | 3 | 3 | 4 | 4 | 3 | 5 | 3 | 3 | 3 | 3 | 2 | 3 | 3 | 3 |
| 1 | 4 | 3 | 2 | 2 | 3 | 3 | 2 | 4 | 4 | 4 | 3 | 3 | 4 | 2 |
| 1 | 4 | 3 | 3 | 4 | 4 | 4 | 3 | 3 | 4 | 2 | 4 | 5 | 5 | 3 |
| 1 | 3 | 3 | 5 | 3 | 5 | 5 | 4 | 5 | 4 | 4 | 2 | 5 | 4 | 3 |
| 1 | 3 | 1 | 3 | 3 | 2 | 2 | 2 | 5 | 5 | 3 | 3 | 4 | 3 | 3 |
| 1 | 3 | 4 | 3 | 4 | 2 | 2 | 2 | 4 | 5 | 5 | 5 | 3 | 2 | 4 |
| 1 | 3 | 2 | 2 | 3 | 2 | 3 | 4 | 3 | 5 | 3 | 4 | 1 | 3 | 3 |
| 2 | 4 | 3 | 5 | 5 | 4 | 3 | 5 | 4 | 5 | 5 | 5 | 3 | 5 | 3 |
| 1 | 4 | 4 | 5 | 4 | 3 | 4 | 4 | 5 | 5 | 5 | 2 | 2 | 3 | 2 |
| 2 | 3 | 4 | 4 | 3 | 5 | 3 | 3 | 4 | 5 | 3 | 3 | 4 | 4 | 3 |
| 1 | 4 | 4 | 5 | 4 | 3 | 5 | 3 | 5 | 5 | 5 | 4 | 1 | 3 | 3 |
| 2 | 4 | 5 | 5 | 4 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 5 | 5 | 2 |
| 1 | 4 | 2 | 2 | 4 | 4 | 5 | 2 | 5 | 3 | 4 | 2 | 1 | 4 | 1 |
| 2 | 3 | 4 | 2 | 3 | 3 | 3 | 3 | 4 | 4 | 3 | 3 | 2 | 3 | 3 |
| 2 | 3 | 2 | 2 | 3 | 4 | 5 | 3 | 4 | 5 | 5 | 4 | 3 | 4 | 3 |
| 1 | 5 | 5 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 1 | 1 | 2 | 5 |
| 1 | 4 | 4 | 3 | 3 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 3 | 3 | 3 |
| 2 | 4 | 4 | 4 | 4 | 1 | 4 | 4 | 4 | 4 | 4 | 4 | 1 | 3 | 1 |
| 1 | 3 | 2 | 1 | 4 | 2 | 3 | 2 | 3 | 4 | 3 | 3 | 4 | 5 | 3 |
| 1 | 2 | 1 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 3 | 1 | 2 | 2 | 3 |
| 2 | 3 | 3 | 2 | 5 | 4 | 5 | 3 | 5 | 5 | 4 | 2 | 3 | 3 | 3 |
| 1 | 3 | 1 | 2 | 3 | 4 | 4 | 3 | 5 | 5 | 3 | 2 | 3 | 4 | 1 |
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A Survey Of Mathematics With Applications
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
11th Edition
0135740460, 978-0135740460
