ACT and GPA acquired from eight universities, the following estimation results were obtained: Model 1: OLS, using observations 1-8 Dependent variable: GPA Coefficient Std. Error t-ratio p-value const 0.568132 0.928421 0.5630 ACT 0.102198 0.0356920 2.8633 0.0287 Mean dependent var 3.212500 S.D. dependent var Sum squared resid 0.434725 S.E. of regression R² 0.577424 Adjusted R² F(1,6) 8.198622 P-value(F) Log-likelihood 0.298422 Akaike criterion Schwarz criterion 3.562039 Hannan-Quinn 0.383359 0.269173 0.506994 0.028677 3.403156 2.331554

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Choose options from below:

(1) 1.634, p-value^2, standard error/coefficient, 0.612

(2) 1.328, 0.557-0.434, 1.029, 0.753

(3) 0.02, 0.510, 0.1784, 5

(4) 11.36, 3.4, 2.04, 2.61

Your consultancy firm has been hired by the American Council of Universities to evaluate the relationship
between ACT (American College Testing) scores and the GPA (grade point average). Based on the data on
ACT and GPA acquired from eight universities, the following estimation results were obtained:
Coefficient Std. Error
t-ratio p-value
const 0.568132 0.928421
0.5630
ACT 0.102198 0.0356920 2.8633 0.0287
Model 1: OLS, using observations 1-8
Dependent variable: GPA
Mean dependent var
Sum squared resid
R²
F(1,6)
Log-likelihood
Schwarz criterion
1. t (B₁)
=
3.212500 S.D. dependent var
0.434725 S.E. of regression
0.577424 Adjusted R²
8.198622 P-value(F)
0.298422 Akaike criterion
3.562039 Hannan-Quinn
0.383359
0.269173
0.506994
0.028677
3.403156
2.331554
2. Total Sum of Squares =
3. How much higher is the GPA predicted to be if the ACT score is increased by 5 points?
4. What is the predicted value of GPA when ACT=20?
Transcribed Image Text:Your consultancy firm has been hired by the American Council of Universities to evaluate the relationship between ACT (American College Testing) scores and the GPA (grade point average). Based on the data on ACT and GPA acquired from eight universities, the following estimation results were obtained: Coefficient Std. Error t-ratio p-value const 0.568132 0.928421 0.5630 ACT 0.102198 0.0356920 2.8633 0.0287 Model 1: OLS, using observations 1-8 Dependent variable: GPA Mean dependent var Sum squared resid R² F(1,6) Log-likelihood Schwarz criterion 1. t (B₁) = 3.212500 S.D. dependent var 0.434725 S.E. of regression 0.577424 Adjusted R² 8.198622 P-value(F) 0.298422 Akaike criterion 3.562039 Hannan-Quinn 0.383359 0.269173 0.506994 0.028677 3.403156 2.331554 2. Total Sum of Squares = 3. How much higher is the GPA predicted to be if the ACT score is increased by 5 points? 4. What is the predicted value of GPA when ACT=20?
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