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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

  1. Write out the regression result in equation form.
  2. What do the results tell us about the relationship betweenacademic reputation scoreandfinancial aid awarded?
  3. 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.
  4. What does the adjusted R-squared tell us?
  5. What does the F-statistic tell us?

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