The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) .5804 n = 97; R² = Model B: In(crime) = -4.794+.923ln(enroll) +.516ln(police), (.144) (.149) (1.112) n = 97; R² = .632 Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). What is the conclusion of your test using a significance level of .01? Reject Fail to reject O Not enough information.
The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) .5804 n = 97; R² = Model B: In(crime) = -4.794+.923ln(enroll) +.516ln(police), (.144) (.149) (1.112) n = 97; R² = .632 Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). What is the conclusion of your test using a significance level of .01? Reject Fail to reject O Not enough information.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The data used is from college campuses. The variables used in the analysis below include: **crime**, total campus crime; **enroll**, total enrollment; **police**, employed officers. Use the estimated OLS models to answer the questions below:
### Model A:
\[
ln(\hat{crime}) = -6.631 + 1.270 ln(enroll),
\]
\[
(1.034) \quad (0.110)
\]
\( n = 97; \, R^2 = 0.5804 \)
### Model B:
\[
ln(\hat{crime}) = -4.794 + 0.923 ln(enroll) + 0.516 ln(police),
\]
\[
(1.112) \quad (0.144) \quad (0.149)
\]
\( n = 97; \, R^2 = 0.632 \)
**Hypothesis Test:**
Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative).
**What is the conclusion of your test using a significance level of 0.01?**
- [ ] Reject
- [ ] Fail to reject
- [ ] Not enough information](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2c90e6f-21b1-498d-a838-23f699b7822e%2Ffdcb7f4c-a00c-423e-9e78-022918cb36aa%2Faf7bgb_processed.png&w=3840&q=75)
Transcribed Image Text:The data used is from college campuses. The variables used in the analysis below include: **crime**, total campus crime; **enroll**, total enrollment; **police**, employed officers. Use the estimated OLS models to answer the questions below:
### Model A:
\[
ln(\hat{crime}) = -6.631 + 1.270 ln(enroll),
\]
\[
(1.034) \quad (0.110)
\]
\( n = 97; \, R^2 = 0.5804 \)
### Model B:
\[
ln(\hat{crime}) = -4.794 + 0.923 ln(enroll) + 0.516 ln(police),
\]
\[
(1.112) \quad (0.144) \quad (0.149)
\]
\( n = 97; \, R^2 = 0.632 \)
**Hypothesis Test:**
Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative).
**What is the conclusion of your test using a significance level of 0.01?**
- [ ] Reject
- [ ] Fail to reject
- [ ] Not enough information
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