Questions 1-5: Data for 51 U.S. "states" (50 states, plus the District of Columbia) was used to examine the relationship between violent crime rate (violent crimes per 100,000 persons per year) and the predictor variables of urbanization (percentage of the population living in urban areas) and poverty rate. The output for the regression analysis is as follows: 1. 2. 3. Predictor Constant Urban Poverty Analysis of Variance Source Regression 5 Residual Error 45 Total 50 A. B. Coef -321.90 4.689 39.34 C. D. A. B. C. D. DF Α. B. C. None of them All of them SE Coef 148.20 1.654 13.52 Based on the p-value listed above in the F-test, how many of the predictors are useful for predicting the violent crime rate? SS 2060459 882169 2942628 = Exactly one of them At least one of them T Р -2.17 0.035 2.83 0.007 2.91 0.006 MS 412091 - 19604 F P 0.000 Which of the following represents the fitted relationship between crime, urbanization, and poverty? Crime = -321.9+4.689(urban) +39.34(poverty) + e Crime = -321.9+ 1.654(urban) + 13.52(poverty) + e Crime 148.20 +4.689(urban) +39.34(poverty) + e Crime = 148.20+ 1.654(urban) + 13.52(poverty) + e Which predictor variable has the strongest relationship to the explanation of crime? Beta 1.23 0.84 0.92 Urban Poverty Urban and Poverty are equal since both are significant 8. 9. 7. C 2 F 6. t
Questions 1-5: Data for 51 U.S. "states" (50 states, plus the District of Columbia) was used to examine the relationship between violent crime rate (violent crimes per 100,000 persons per year) and the predictor variables of urbanization (percentage of the population living in urban areas) and poverty rate. The output for the regression analysis is as follows: 1. 2. 3. Predictor Constant Urban Poverty Analysis of Variance Source Regression 5 Residual Error 45 Total 50 A. B. Coef -321.90 4.689 39.34 C. D. A. B. C. D. DF Α. B. C. None of them All of them SE Coef 148.20 1.654 13.52 Based on the p-value listed above in the F-test, how many of the predictors are useful for predicting the violent crime rate? SS 2060459 882169 2942628 = Exactly one of them At least one of them T Р -2.17 0.035 2.83 0.007 2.91 0.006 MS 412091 - 19604 F P 0.000 Which of the following represents the fitted relationship between crime, urbanization, and poverty? Crime = -321.9+4.689(urban) +39.34(poverty) + e Crime = -321.9+ 1.654(urban) + 13.52(poverty) + e Crime 148.20 +4.689(urban) +39.34(poverty) + e Crime = 148.20+ 1.654(urban) + 13.52(poverty) + e Which predictor variable has the strongest relationship to the explanation of crime? Beta 1.23 0.84 0.92 Urban Poverty Urban and Poverty are equal since both are significant 8. 9. 7. C 2 F 6. t
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Transcribed Image Text:Questions 1-5: Data for 51 U.S. "states" (50 states, plus the District of Columbia) was used to examine the
relationship between violent crime rate (violent crimes per 100,000 persons per year) and the predictor variables
of urbanization (percentage of the population living in urban areas) and poverty rate. The output for the regression
analysis is as follows:
1.
3.
4.
Predictor
Constant
Urban
Poverty
Analysis of Variance
Source
Regression
Residual Error
Total
Coef
-321.90
4.689
39.34
A None of them
B.
All of them
C.
C.
A
B.
C.
SE Coef
148.20
B.
13.52
2-42628
Based on the p-value listed above in the F-test, how many of the predictors are useful for predicting the
violent crime rate?
Exactly one of them
At least one of them
0.035
0.007
2.91 0.006
2,942,628
882,169
1127.104
2522.024
MS
412091
19604
0.000
Which of the following represents the fitted relationship between crime, urbanization, and poverty?
Crime = -321.9+ 4.689(urban) + 39.34(poverty) + e
Crime -321.9+ 1.654(urban) + 13.52(poverty) + e
Crime 148.20 +4.689(urban) +39.34(poverty) + e
Crime
148.20+ 1.654(urban) + 13.52(poverty) + e
Which predictor variable has the strongest relationship to the explanation of crime?
0.84
Urban
Poverty
Urban and Poverty are equal since both are significant
Urban and Poverty are equal since neither are significant
B
Using the information in the output above, if North Carolina had an urban score of 36 and a poverty score
of 68, what would be their predicted violent crime rate per 100,000 people?
7
8.
a
6.
P
ham
th
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