Testing the regression slope, B1 Coefficient of determination

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Testing the regression slope, B1
Coefficient of determination

Model
1
a.
Mode
I
1
a.
Variables Entered/Removedª
Variables Entered
reported_violent_cr
ime_rate_per_1000
00_residentsb
total_overall
b. All requested variables entered.
1
Dependent
R
.757a
Model
1 (Constant)
reported_crime_rate_per_1_million_residents
Model Summary
Adjusted R
R Square Square
.572
Variables
Removed
Sum of
Model
Squares
df
Regressio 2422889.276 1
n
Residual
Total
1810710.644
4233599.920
.563
Predictors:
reported_violent_crime_rate_per_100000_residents
ANOVA
48
49
reported_violent_crim 388
e_rate_per_100000_r
Coefficients
Unstandardized
Coefficients
B
479.145 40.527
.048
a. Dependent Variable: total_overall_reported_crime_rate_per_1_million_residents
b. Predictors: (Constant), reported_violent_crime_rate_per_100000_residents
Std. Error
Method
Enter
Standardize
d
Coefficient
S
Beta
Variable:
Std. Error of
the Estimate
194.22445
Mean
F
Sig.
Square
2422889.27 64.228 <.001b
6
37723.138
.757
(Constant),
Sig
11.823 <.001
8.014 <.001
esidents
a. Dependent Variable: total_overall_reported_crime_rate_per_1_million_residents
Transcribed Image Text:Model 1 a. Mode I 1 a. Variables Entered/Removedª Variables Entered reported_violent_cr ime_rate_per_1000 00_residentsb total_overall b. All requested variables entered. 1 Dependent R .757a Model 1 (Constant) reported_crime_rate_per_1_million_residents Model Summary Adjusted R R Square Square .572 Variables Removed Sum of Model Squares df Regressio 2422889.276 1 n Residual Total 1810710.644 4233599.920 .563 Predictors: reported_violent_crime_rate_per_100000_residents ANOVA 48 49 reported_violent_crim 388 e_rate_per_100000_r Coefficients Unstandardized Coefficients B 479.145 40.527 .048 a. Dependent Variable: total_overall_reported_crime_rate_per_1_million_residents b. Predictors: (Constant), reported_violent_crime_rate_per_100000_residents Std. Error Method Enter Standardize d Coefficient S Beta Variable: Std. Error of the Estimate 194.22445 Mean F Sig. Square 2422889.27 64.228 <.001b 6 37723.138 .757 (Constant), Sig 11.823 <.001 8.014 <.001 esidents a. Dependent Variable: total_overall_reported_crime_rate_per_1_million_residents
total_overall reported_crime_rate_per_1_million_
residents
1800.00
1600.00
1400.00
1200.00
1000.00
800.00
600.00
400.00
Scatter Plot of total_overall reported_crime_rate_per_1_million_residents by
00
reported_violent_crime_rate_per_100000_residents
1000.00
2000.00
3000.00
reported_violent_crime_rate_per_100000_residents
4000.00
Transcribed Image Text:total_overall reported_crime_rate_per_1_million_ residents 1800.00 1600.00 1400.00 1200.00 1000.00 800.00 600.00 400.00 Scatter Plot of total_overall reported_crime_rate_per_1_million_residents by 00 reported_violent_crime_rate_per_100000_residents 1000.00 2000.00 3000.00 reported_violent_crime_rate_per_100000_residents 4000.00
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