Data were gathered from a simple random sample of cities. The variables are Violent Crime? (Crimes per?
Question:
Data were gathered from a simple random sample of cities. The variables are Violent Crime? (Crimes per? 100,000 population), Police Officer Wage? (Mean $/hr), and Graduation Rate? (%). Use the accompanying regression table to answer the following questions considers the coefficient of Graduation Rate. Complete parts a through e.
Dependent variable is: Violent Crime R squared 40.9% R squared (adjusted) = 43.2% S = 129.6 with 37 degrees of freedom | ||||
Variable
| Coeff | SE(Coeff) | t-ratio | p-value |
Intercept | 12393.79 | 181.7 | 7.67 | <0.0001 |
Police Officer Wage | 9.16 | 4.259 | 2.15 | 0.0381 |
Graduation Rate | -16.54 | 2.400 | -6.89 | <0.0001 |
Dependent variable is:
Violent Crime R squared = 40.9% R squared (adjusted) = 43.2% s-129.6 with 37 degrees of freedom Coeff SE (Coeff) t-ratio P-value 1393.79181.7 Variable Intercept Police Officer Wage9.16 Graduation Rate 7.67 <0.0001 0.0381 -6.89 < 0.0001 4.259 2.400 2.15 - 16.54
a). State the standard null and alternative hypotheses for the true coefficient of Graduation Rate.
b). What is the? T-statistic corresponding to this? Test?
c). Why is the? T-statistic negative?
d). What is the? P-value corresponding to this? T-statistic?
e) . Test the null hypothesis? (At? =? 0.05)and state your conclusion.
Practicing Statistics Guided Investigations for the Second Course
ISBN: 978-0321586018
1st edition
Authors: Shonda Kuiper, Jeff Sklar