Question
Based on factors (e.g., academic reputation, financial aid offerings, overall cost, and success of graduates in the post-college job market) that actual college freshmen said
Based on factors (e.g., academic reputation, financial aid offerings, overall cost, and success of graduates in the post-college job market) that actual college freshmen said were most important to their college decision, College Choice developed their Rankings of National Research Universities.
Below are the regression results for the top 50 US research universities of academic reputation score (y - measured on a scale 0-100) on financial aid awarded (x1 - measured in US dollars), net cost (x2 - measured in US dollars), early career salary (x3 - measured in US dollars), work makes a better place percentage (x4 - %), and percentage of STEM (science, technology, engineering, and mathematics) degrees (x5 - %).
Coefficientsa | ||||
Model | Unstandardized Coefficients | t | Sig. | |
B | Std. Error | |||
(Constant) Avg. Financial Aid Avg. Net Cost Early Career Pay % High Meaning % STEM | 5.2 | 14.6 | 0.35 | 0.726 |
0.000639 | 0.000206 | 3.11 | 0.003 | |
0.000004 | 0.000206 | 0.02 | 0.983 | |
0.000336 | 0.000168 | 2.00 | 0.052 | |
77.2 | 24.7 | 3.13 | 0.003 | |
-16.51 | 7.68 | -2.15 | 0.037 | |
a. Dependent Variable:academic reputation score |
ANOVAa | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 5087.82 | 5 | 1017.56 | 12.60 | .000 |
Residual | 3552.36 | 44 | 80.74 | |||
Total | 8640.18 | 49 | ||||
a. Dependent Variable:academic reputation score | ||||||
b. Predictors: (Constant),financial aid awarded, net cost, early career salary, work makes a better place percentage, and percentage of STEM degrees |
Model Summary | ||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
1 | .0.767a | .589 | .542 | 8.98529 |
a. Predictors: (Constant),financial aid awarded, net cost, early career salary, work makes a better place percentage, and percentage of STEM degrees |
- Write out the regression result in equation form.
- What do the results tell us about the relationship betweenacademic reputation scoreandfinancial aid awarded?
- Check the slope and intercept coefficients, and specify for each predictor variable whether the null hypothesis is rejected, or not, and whether the slope coefficient is statistically significant.
- What does the adjusted R-squared tell us?
- What does the F-statistic tell us?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started