1.The best fitted model 2.Point prediction based on the best model 3.Hypothesis Testing
1.The best fitted model 2.Point prediction based on the best model 3.Hypothesis Testing
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
1.The best fitted model
2.Point prediction based on the best model
3.Hypothesis Testing
Transcribed Image Text:1
(Constart)
Unstandardized Coeficients
Std. Error
479.145 40.527
388
048
Model
1
reported_violent_come_rat
e_per_100000_residents
a. Dependent Variable: total overal reported crime_rate_per_1_milion_residents
annual_police_funding_in_
dollar_and_resident
percentage of people 25
_years_plus_with_4_years
_of_high school
Standardized
Coeficients
Beta
Coefficients"
Beta In
200
004b
Predicted Value
Residual
757
1
2
a. Dependent Variable:
total_overall
t
11.823
<.001
8.014 <.001
t
1.867
Excluded Variables"
043
Model Dimension Eigenvalue
1
1.735
265
Sig
Sig.
95.0% Confidence interval for B
Correlations
Colinearity Statistics
Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF
397 660
560.630
290
485
.068
Std. Predicted Value
-1.023
Std. Residual
-1.839
a. Dependent Variable: total_overall
966
a. Dependent Variable: total_overall reported_crime_rate_per_1_million_residents
b. Predictors in the Model: (Constant),
reported_violent_crime_rate_per_100000_residents
Collinearity Diagnostics"
Partial
Correlation
Condition.
Index
1.000
2.560
5.105
3.580
263
.006
Residuals Statistics"
Minimum Maximum Mean
490.3845 1853.0935 717.9600
-357.12399 695.29614
reported_crime_rate_per_1_million_residents
(Constant)
.13
.87
757
Tolerance
741
Collinearity Statistics
966
757 757 1.000 1.000
Variance Proportions
VIF
1.350
1.035
1.000
.990
reported viole
nt_crime_rate_
per_100000_r
esidents
Std. Deviation
222.36618
00000 192.23236
.000
.000
reported_crime_rate_per_1_million_residents
13
.87
N
50
50
50
50
Minimum
Tolerance
741
.966
Transcribed Image Text:Sig (1-talled)
N
Mean
total_ overall reported crim 717.9600
e_rate_per_1_million resi
Pearson Correlation total overal reported crim
_rate_per_1_million resi
Model
Descriptive Statistics
dents
reported violent_crime rat 616.1800
e_per_100000_residents
annual police funding in
dollar and resident
percentage of people 25
_years_plus_with_4_years
of high school
Model
1
dents
reported violent crime rat
per 100000 residents
annual police funding in
dollar and resident
percentage of people 25
years plus with 4 years
of high school
total_overal reported crim
e_rate_per_1_minion resi
dents
reported violent_come_rat
per_100000 residents
annual police funding in
dollar and resident
percentage of people 25
years_plus_with_4_years
_of_high school
total overal reported crim
e_rate per 1 million resi
dents
reported violent crime rat
per 100000 residents
annual police funding in
dollar and resident
percentage of people 25
years plus with 4 years
of high school
Model
1
R
757
reported viole
nt crime rate
per 100000_
esidents
37.7600
50.8000
R Square
572
Std. Deviation
293.93877
Correlations.
total overall re reported viole
ported criment crime rate
ate per 1 mill per 100000
len residents
esidents
1.000
757
-135
533
,000
000
174
50
50
ANOVA
df
50
573.73917
50
Variables Entered/Removed"
Variables
Entered
Variables
Removed
Model Summary
13.82036
563
9.96525
757
1.000
509
-184
<.001
000
100
50
50
50
a. Dependent Variable.
total_ overall reported_crime_rate_per_1_million_res
idents
50
Method
a. Predictors: (Constant),
b. Dependent Variable:
total_overall reported crime_rate_per_1_million residents
Stepwise
(Criteria)
Adjusted R Std. Error of the
Square
Estimate
Probability-of-
F-to-enter
050,
Probability-of-
F-to-remove
100).
N
194.22445
50
50
50
50
annual police
funding_in_d
altar_and_resi
dent
533
509
1.000
F
Mean Square
1 2422889.276 64 228
48 37723.138
49
120
<.001
000
reported_violent_crime_rate_per_100000_residents
203
50
50
50
Durbin-Watson
50
Sum of
Squares
Regression 2422889.276
Residual
1810710.644
4233599.920
Total
a. Dependent Variable: total_overall reported_crime_rate_per_1_million_residents
b. Predictors: (Constant), reported_violent_crime_rate_per_100000_residents
1.890
percentage of
people 25 y
ears_plus_wit
h_4_years_of_
high school
-135
Sig
<.001
-184
120
1.000
174
100
203
50
50
50
50
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