statistics
SAS Regression Soln/Program 1-results(2).rtf
Tuesday, November 14, 2017 06:50:21 PM
The CONTENTS Procedure
Data Set Name
WORK.IMPORT
Observations
51
Member Type
DATA
Variables
9
Engine
V9
Indexes
0
Created
11/14/2017 18:50:22
Observation Length
88
Last Modified
11/14/2017 18:50:22
Deleted Observations
0
Protection
Compressed
NO
Data Set Type
Sorted
NO
Label
Data Representation
SOLARIS_X86_64, LINUX_X86_64, ALPHA_TRU64, LINUX_IA64
Encoding
utf-8 Unicode (UTF-8)
Engine/Host Dependent Information
Data Set Page Size
65536
Number of Data Set Pages
1
First Data Page
1
Max Obs per Page
743
Obs in First Data Page
51
Number of Data Set Repairs
0
Filename
/tmp/SAS_work93340000368B_localhost.localdomain/SAS_workEB5F0000368B_localhost.localdomain/import.sas7bdat
Release Created
9.0401M4
Host Created
Linux
Inode Number
271800
Access Permission
rw-rw-r--
Owner Name
sasdemo
File Size
128KB
File Size (bytes)
131072
Alphabetic List of Variables and Attributes
#
Variable
Type
Len
Format
Informat
Label
4
GunMurders
Num
8
BEST.
GunMurders
5
GunOwnership
Num
8
BEST.
GunOwnership
3
Murders
Num
8
BEST.
Murders
9
Per_capita_Income
Num
8
BEST.
Per capita Income
2
Population
Num
8
BEST.
Population
7
Poverty_rate_by_house_hold_incom
Num
8
BEST.
Poverty rate by house hold income
1
State
Char
20
$20.
$20.
State
8
Undergrad
Num
8
BEST.
Undergrad
6
VAR6
Num
8
BEST.
Murder Rate (per 100,000)
Tuesday, November 14, 2017 06:50:22 PM
Murder Rate regression using Gun Murders per Population
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
1
30.14497
30.14497
3.22
0.0787
Error
49
458.10948
9.34917
Corrected Total
50
488.25445
Root MSE
3.05764
R-Square
0.0617
Dependent Mean
4.18523
Adj R-Sq
0.0426
Coeff Var
73.05790
Parameter Estimates
Variable
Label
DF
Parameter Estimate
Standard Error
t Value
Pr > |t|
Intercept
Intercept
1
3.57895
0.54527
6.56
<.0001
GunMurders
GunMurders
1
0.00329
0.00183
1.80
0.0787
Tuesday, November 14, 2017 06:50:22 PM
Murder Rate regression using Gun Murders per Population
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
file_0.emf
file_1.emf
file_2.emf
Tuesday, November 14, 2017 06:50:31 PM
Murder Rate regression by Gun Ownership per Population
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
1
56.84932
56.84932
6.46
0.0143
Error
49
431.40513
8.80419
Corrected Total
50
488.25445
Root MSE
2.96718
R-Square
0.1164
Dependent Mean
4.18523
Adj R-Sq
0.0984
Coeff Var
70.89657
Parameter Estimates
Variable
Label
DF
Parameter Estimate
Standard Error
t Value
Pr > |t|
Intercept
Intercept
1
6.98688
1.17823
5.93
<.0001
GunOwnership
GunOwnership
1
-7.58326
2.98427
-2.54
0.0143
Tuesday, November 14, 2017 06:50:34 PM
Murder Rate regression by Gun Ownership per Population
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
file_3.emf
file_4.emf
file_5.emf
Tuesday, November 14, 2017 06:50:45 PM
Murder Rate regression by Poverty Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
1
98.91106
98.91106
12.45
0.0009
Error
49
389.34340
7.94578
Corrected Total
50
488.25445
Root MSE
2.81883
R-Square
0.2026
Dependent Mean
4.18523
Adj R-Sq
0.1863
Coeff Var
67.35176
Parameter Estimates
Variable
Label
DF
Parameter Estimate
Standard Error
t Value
Pr > |t|
Intercept
Intercept
1
-2.62843
1.97112
-1.33
0.1885
Poverty_rate_by_house_hold_incom
Poverty rate by house hold income
1
0.45856
0.12997
3.53
0.0009
Tuesday, November 14, 2017 06:50:46 PM
Murder Rate regression by Poverty Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
file_6.emf
file_7.emf
file_8.emf
Tuesday, November 14, 2017 06:50:52 PM
Murder Rate regression by the Literacy Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
1
49.33489
49.33489
5.51
0.0230
Error
49
438.91956
8.95754
Corrected Total
50
488.25445
Root MSE
2.99292
R-Square
0.1010
Dependent Mean
4.18523
Adj R-Sq
0.0827
Coeff Var
71.51136
Parameter Estimates
Variable
Label
DF
Parameter Estimate
Standard Error
t Value
Pr > |t|
Intercept
Intercept
1
-0.71528
2.12978
-0.34
0.7384
Undergrad
Undergrad
1
0.17745
0.07561
2.35
0.0230
Tuesday, November 14, 2017 06:50:53 PM
Murder Rate regression by the Literacy Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
file_9.emf
file_10.emf
file_11.emf
Tuesday, November 14, 2017 06:50:57 PM
Murder Rate regression by the Income Levels
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
1
232.25614
232.25614
44.46
<.0001
Error
49
255.99831
5.22446
Corrected Total
50
488.25445
Root MSE
2.28571
R-Square
0.4757
Dependent Mean
4.18523
Adj R-Sq
0.4650
Coeff Var
54.61364
Parameter Estimates
Variable
Label
DF
Parameter Estimate
Standard Error
t Value
Pr > |t|
Intercept
Intercept
1
-1.28882
0.88119
-1.46
0.1500
Per_capita_Income
Per capita Income
1
0.00011256
0.00001688
6.67
<.0001
Tuesday, November 14, 2017 06:50:58 PM
Murder Rate regression by the Income Levels
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
file_12.emf
file_13.emf
file_14.emf
SAS Regression Soln/Program 1.sas
/* Generated Code (IMPORT) */ /* Source File: MURDER RATE.xlsx */ /* Source Path: /folders/myshortcuts/workspace */ /* Code generated on: 11/14/17, 6:16 PM */ %web_drop_table(WORK.IMPORT); FILENAME REFFILE '/folders/myshortcuts/workspace/MURDER RATE.xlsx'; PROC IMPORT DATAFILE=REFFILE DBMS=XLSX OUT=WORK.IMPORT; GETNAMES=YES; RUN; PROC CONTENTS DATA=WORK.IMPORT; RUN; PROC REG; TITLE 'Murder Rate regression using Gun Murders per Population'; MODEL VAR6 = GunMurders; Run; Proc REG; TITLE 'Murder Rate regression by Gun Ownership per Population'; MODEL VAR6 = GunOwnership; RUN; PROC REG; TITLE 'Murder Rate regression by Poverty Rate'; model VAR6 = Poverty_rate_by_house_hold_incom; RUN; PROC REG; TITLE 'Murder Rate regression by the Literacy Rate'; MODEL VAR6 = Undergrad; RUN; PROC REG; TITLE 'Murder Rate regression by the Income Levels'; MODEL VAR6 = Per_capita_Income; RUN; %web_open_table(WORK.IMPORT);
SAS Regression Soln/Program1-results.pdf
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P r e d i c t e d V a l u e
0
5
1 0
1 5
2 0
O bs
er ve
d
- 2 - 1 0 1 2
Q u a n t i l e
- 5
0
5
1 0
1 5
R es
id ua
l
0 . 0 2 5 0 . 0 7 5 0 . 1 2 5
L e v e r a g e
- 2
0
2
4
6
8
R S
tu de
nt
3 4 5 6 7
P r e d i c t e d V a l u e
- 2
0
2
4
6
8
R S
tu de
nt 3 4 5 6 7
P r e d i c t e d V a l u e
- 5
0
5
1 0
1 5
R es
id ua
l
M u r d e r R a t e r e g r e s s i o n b y G u n O w n e r s h i p p e r P o p u l a t i o n T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 9
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
0 . 1 0 . 2 0 . 3 0 . 4 0 . 5 0 . 6
G u n O w n e r s h i p
- 5
0
5
1 0
1 5
R e
si du
a l
R e s i d u a l s f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y G u n O w n e r s h i p p e r P o p u l a t i o n T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 0
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
0 . 1 0 . 2 0 . 3 0 . 4 0 . 5 0 . 6
G u n O w n e r s h i p
- 5
0
5
1 0
1 5
2 0
M ur
de r
R a
te (
pe r
1 0
0 ,0
0 0
)
9 5 % P r e d i c t i o n L i m i t s9 5 % C o n f i d e n c e L i m i t sF i t
0 . 0 9 8 4A d j R - S q u a r e 0 . 1 1 6 4R - S q u a r e 8 . 8 0 4 2M S E
4 9E r r o r D F 2P a r a m e t e r s
5 1O b s e r v a t i o n s
F i t P l o t f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y P o v e r t y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 1
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
M u r d e r R a t e r e g r e s s i o n b y P o v e r t y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 1
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
N u m b e r o f O b s e r v a t i o n s R e a d 5 1
N u m b e r o f O b s e r v a t i o n s U s e d 5 1
A n a l y s i s o f V a r i a n c e
S o u r c e D F S u m o f
S q u a r e s M e a n
S q u a r e F V a l u e P r > F
M o d e l 1 9 8 . 9 1 1 0 6 9 8 . 9 1 1 0 6 1 2 . 4 5 0 . 0 0 0 9
E r r o r 4 9 3 8 9 . 3 4 3 4 0 7 . 9 4 5 7 8
C o r r e c t e d T o t a l 5 0 4 8 8 . 2 5 4 4 5
R o o t M S E 2 . 8 1 8 8 3 R - S q u a r e 0 . 2 0 2 6
D e p e n d e n t M e a n 4 . 1 8 5 2 3 A d j R - S q 0 . 1 8 6 3
C o e f f V a r 6 7 . 3 5 1 7 6
P a r a m e t e r E s t i m a t e s
V a r i a b l e L a b e l D F P a r a m e t e r
E s t i m a t e S t a n d a r d
E r r o r t V a l u e P r > | t |
I n t e r c e p t I n t e r c e p t 1 - 2 . 6 2 8 4 3 1 . 9 7 1 1 2 - 1 . 3 3 0 . 1 8 8 5
P o v e r t y _ r a t e _ b y _ h o u s e _ h o l d _ i n c o m P o v e r t y r a t e b y h o u s e h o l d i n c o m e 1 0 . 4 5 8 5 6 0 . 1 2 9 9 7 3 . 5 3 0 . 0 0 0 9
M u r d e r R a t e r e g r e s s i o n b y P o v e r t y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 2
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
M u r d e r R a t e r e g r e s s i o n b y P o v e r t y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 2
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
F i t D i a g n o s t i c s f o r V A R 6
0 . 1 8 6 3A d j R - S q u a r e 0 . 2 0 2 6R - S q u a r e 7 . 9 4 5 8M S E
4 9E r r o r D F 2P a r a m e t e r s
5 1O b s e r v a t i o n s
P r o p o r t i o n L e s s 0 . 0 0 . 4 0 . 8
R e s i d u a l
0 . 0 0 . 4 0 . 8
F i t – M e a n
0
5
1 0
1 5
- 9 - 3 3 9 1 5
R e s i d u a l
0
2 0
4 0
6 0
P er
ce nt
0 1 0 2 0 3 0 4 0 5 0
O b s e r v a t i o n
0 . 0
0 . 2
0 . 4
0 . 6
0 . 8
C oo
k' s
D 0 5 1 0 1 5 2 0
P r e d i c t e d V a l u e
0
5
1 0
1 5
2 0
O bs
er ve
d
- 2 - 1 0 1 2
Q u a n t i l e
- 5
0
5
1 0
1 5
R es
id ua
l
0 . 0 2 5 0 . 0 7 5 0 . 1 2 5
L e v e r a g e
- 2 . 5
0 . 0
2 . 5
5 . 0
7 . 5
1 0 . 0
R S
tu de
nt
2 4 6 8
P r e d i c t e d V a l u e
- 2 . 5
0 . 0
2 . 5
5 . 0
7 . 5
1 0 . 0
R S
tu de
nt 2 4 6 8
P r e d i c t e d V a l u e
0
5
1 0
1 5
R es
id ua
l
M u r d e r R a t e r e g r e s s i o n b y P o v e r t y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 3
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
1 0 . 0 1 2 . 5 1 5 . 0 1 7 . 5 2 0 . 0 2 2 . 5
P o v e r t y r a t e b y h o u s e h o l d i n c o m e
0
5
1 0
1 5
R e
si du
a l
R e s i d u a l s f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y P o v e r t y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 4
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
1 0 . 0 1 2 . 5 1 5 . 0 1 7 . 5 2 0 . 0 2 2 . 5
P o v e r t y r a t e b y h o u s e h o l d i n c o m e
- 5
0
5
1 0
1 5
2 0
M ur
de r
R a
te (
pe r
1 0
0 ,0
0 0
)
9 5 % P r e d i c t i o n L i m i t s9 5 % C o n f i d e n c e L i m i t sF i t
0 . 1 8 6 3A d j R - S q u a r e 0 . 2 0 2 6R - S q u a r e 7 . 9 4 5 8M S E
4 9E r r o r D F 2P a r a m e t e r s
5 1O b s e r v a t i o n s
F i t P l o t f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y t h e L i t e r a c y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 5
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
M u r d e r R a t e r e g r e s s i o n b y t h e L i t e r a c y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 5
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
N u m b e r o f O b s e r v a t i o n s R e a d 5 1
N u m b e r o f O b s e r v a t i o n s U s e d 5 1
A n a l y s i s o f V a r i a n c e
S o u r c e D F S u m o f
S q u a r e s M e a n
S q u a r e F V a l u e P r > F
M o d e l 1 4 9 . 3 3 4 8 9 4 9 . 3 3 4 8 9 5 . 5 1 0 . 0 2 3 0
E r r o r 4 9 4 3 8 . 9 1 9 5 6 8 . 9 5 7 5 4
C o r r e c t e d T o t a l 5 0 4 8 8 . 2 5 4 4 5
R o o t M S E 2 . 9 9 2 9 2 R - S q u a r e 0 . 1 0 1 0
D e p e n d e n t M e a n 4 . 1 8 5 2 3 A d j R - S q 0 . 0 8 2 7
C o e f f V a r 7 1 . 5 1 1 3 6
P a r a m e t e r E s t i m a t e s
V a r i a b l e L a b e l D F P a r a m e t e r
E s t i m a t e S t a n d a r d
E r r o r t V a l u e P r > | t |
I n t e r c e p t I n t e r c e p t 1 - 0 . 7 1 5 2 8 2 . 1 2 9 7 8 - 0 . 3 4 0 . 7 3 8 4
U n d e r g r a d U n d e r g r a d 1 0 . 1 7 7 4 5 0 . 0 7 5 6 1 2 . 3 5 0 . 0 2 3 0
M u r d e r R a t e r e g r e s s i o n b y t h e L i t e r a c y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 6
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
M u r d e r R a t e r e g r e s s i o n b y t h e L i t e r a c y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 6
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
F i t D i a g n o s t i c s f o r V A R 6
0 . 0 8 2 7A d j R - S q u a r e 0 . 1 0 1R - S q u a r e
8 . 9 5 7 5M S E 4 9E r r o r D F
2P a r a m e t e r s 5 1O b s e r v a t i o n s
P r o p o r t i o n L e s s 0 . 0 0 . 4 0 . 8
R e s i d u a l
0 . 0 0 . 4 0 . 8
F i t – M e a n
- 5
0
5
1 0
1 5
- 7 . 5 - 1 . 5 4 . 5 1 0 . 5
R e s i d u a l
0
1 0
2 0
3 0
4 0
P er
ce nt
0 1 0 2 0 3 0 4 0 5 0
O b s e r v a t i o n
0
2
4
6
C oo
k' s
D 0 5 1 0 1 5 2 0
P r e d i c t e d V a l u e
0
5
1 0
1 5
2 0
O bs
er ve
d
- 2 - 1 0 1 2
Q u a n t i l e
- 5
0
5
1 0
1 5
R es
id ua
l
0 . 0 5 0 . 1 5 0 . 2 5
L e v e r a g e
- 2
0
2
4
6
8
R S
tu de
nt
3 4 5 6 7 8
P r e d i c t e d V a l u e
- 2
0
2
4
6
8
R S
tu de
nt 3 4 5 6 7 8
P r e d i c t e d V a l u e
- 5
0
5
1 0
1 5
R es
id ua
l
M u r d e r R a t e r e g r e s s i o n b y t h e L i t e r a c y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 7
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
2 0 3 0 4 0 5 0
U n d e r g r a d
- 5
0
5
1 0
1 5
R e
si du
a l
R e s i d u a l s f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y t h e L i t e r a c y R a t e T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 8
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
2 0 3 0 4 0 5 0
U n d e r g r a d
- 5
0
5
1 0
1 5
2 0
M ur
de r
R a
te (
pe r
1 0
0 ,0
0 0
)
9 5 % P r e d i c t i o n L i m i t s9 5 % C o n f i d e n c e L i m i t sF i t
0 . 0 8 2 7A d j R - S q u a r e 0 . 1 0 1R - S q u a r e
8 . 9 5 7 5M S E 4 9E r r o r D F
2P a r a m e t e r s 5 1O b s e r v a t i o n s
F i t P l o t f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y t h e I n c o m e L e v e l s T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 9
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
M u r d e r R a t e r e g r e s s i o n b y t h e I n c o m e L e v e l s T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 1 9
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
N u m b e r o f O b s e r v a t i o n s R e a d 5 1
N u m b e r o f O b s e r v a t i o n s U s e d 5 1
A n a l y s i s o f V a r i a n c e
S o u r c e D F S u m o f
S q u a r e s M e a n
S q u a r e F V a l u e P r > F
M o d e l 1 2 3 2 . 2 5 6 1 4 2 3 2 . 2 5 6 1 4 4 4 . 4 6 < . 0 0 0 1
E r r o r 4 9 2 5 5 . 9 9 8 3 1 5 . 2 2 4 4 6
C o r r e c t e d T o t a l 5 0 4 8 8 . 2 5 4 4 5
R o o t M S E 2 . 2 8 5 7 1 R - S q u a r e 0 . 4 7 5 7
D e p e n d e n t M e a n 4 . 1 8 5 2 3 A d j R - S q 0 . 4 6 5 0
C o e f f V a r 5 4 . 6 1 3 6 4
P a r a m e t e r E s t i m a t e s
V a r i a b l e L a b e l D F P a r a m e t e r
E s t i m a t e S t a n d a r d
E r r o r t V a l u e P r > | t |
I n t e r c e p t I n t e r c e p t 1 - 1 . 2 8 8 8 2 0 . 8 8 1 1 9 - 1 . 4 6 0 . 1 5 0 0
P e r _ c a p i t a _ I n c o m e P e r c a p i t a I n c o m e 1 0 . 0 0 0 1 1 2 5 6 0 . 0 0 0 0 1 6 8 8 6 . 6 7 < . 0 0 0 1
M u r d e r R a t e r e g r e s s i o n b y t h e I n c o m e L e v e l s T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 2 0
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
M u r d e r R a t e r e g r e s s i o n b y t h e I n c o m e L e v e l s T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 2 0
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
F i t D i a g n o s t i c s f o r V A R 6
0 . 4 6 5A d j R - S q u a r e 0 . 4 7 5 7R - S q u a r e 5 . 2 2 4 5M S E
4 9E r r o r D F 2P a r a m e t e r s
5 1O b s e r v a t i o n s
P r o p o r t i o n L e s s 0 . 0 0 . 4 0 . 8
R e s i d u a l
0 . 0 0 . 4 0 . 8
F i t – M e a n
- 5
0
5
1 0
- 7 - 5 - 3 - 1 1 3 5 7
R e s i d u a l
0
1 0
2 0
3 0
P er
ce nt
0 1 0 2 0 3 0 4 0 5 0
O b s e r v a t i o n
0
1 0
2 0
3 0
C oo
k' s
D 0 5 1 0 1 5 2 0
P r e d i c t e d V a l u e
0
5
1 0
1 5
2 0
O bs
er ve
d
- 2 - 1 0 1 2
Q u a n t i l e
- 4
- 2
0
2
4
6
R es
id ua
l
0 . 0 0 . 2 0 . 4 0 . 6 0 . 8
L e v e r a g e
- 2
0
2
4
R S
tu de
nt
5 1 0 1 5
P r e d i c t e d V a l u e
- 2
0
2
4
R S
tu de
nt 5 1 0 1 5
P r e d i c t e d V a l u e
- 4
- 2
0
2
4
6
R es
id ua
l
M u r d e r R a t e r e g r e s s i o n b y t h e I n c o m e L e v e l s T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 2 1
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
2 5 0 0 0 5 0 0 0 0 7 5 0 0 0 1 0 0 0 0 0 1 2 5 0 0 0 1 5 0 0 0 0 1 7 5 0 0 0
P e r c a p i t a I n c o m e
- 4
- 2
0
2
4
6
R e
si du
a l
R e s i d u a l s f o r V A R 6
M u r d e r R a t e r e g r e s s i o n b y t h e I n c o m e L e v e l s T u e s d a y , N o v e m b e r 1 4 , 2 0 1 7 0 6 : 5 0 : 2 1 P M 2 2
T h e R E G P r o c e d u r e M o d e l : M O D E L 1
D e p e n d e n t V a r i a b l e : V A R 6 M u r d e r R a t e ( p e r 1 0 0 , 0 0 0 )
2 5 0 0 0 5 0 0 0 0 7 5 0 0 0 1 0 0 0 0 0 1 2 5 0 0 0 1 5 0 0 0 0 1 7 5 0 0 0
P e r c a p i t a I n c o m e
0
5
1 0
1 5
2 0
2 5
M ur
de r
R a
te (
pe r
1 0
0 ,0
0 0
)
9 5 % P r e d i c t i o n L i m i t s9 5 % C o n f i d e n c e L i m i t sF i t
0 . 4 6 5A d j R - S q u a r e 0 . 4 7 5 7R - S q u a r e 5 . 2 2 4 5M S E
4 9E r r o r D F 2P a r a m e t e r s
5 1O b s e r v a t i o n s
F i t P l o t f o r V A R 6
- The Contents Procedure
- WORK.IMPORT
- Attributes
- Engine/Host Information
- Variables
- The Reg Procedure
- MODEL1
- Fit
- VAR6
- Number of Observations
- Analysis of Variance
- Fit Statistics
- Parameter Estimates
- Observation-wise Statistics
- VAR6
- Diagnostic Plots
- Fit Diagnostics
- Residual Plots
- GunMurders
- Fit Plot
- The Reg Procedure
- MODEL1
- Fit
- VAR6
- Number of Observations
- Analysis of Variance
- Fit Statistics
- Parameter Estimates
- Observation-wise Statistics
- VAR6
- Diagnostic Plots
- Fit Diagnostics
- Residual Plots
- GunOwnership
- Fit Plot
- The Reg Procedure
- MODEL1
- Fit
- VAR6
- Number of Observations
- Analysis of Variance
- Fit Statistics
- Parameter Estimates
- Observation-wise Statistics
- VAR6
- Diagnostic Plots
- Fit Diagnostics
- Residual Plots
- Poverty_rate_by_house_hold_incom
- Fit Plot
- The Reg Procedure
- MODEL1
- Fit
- VAR6
- Number of Observations
- Analysis of Variance
- Fit Statistics
- Parameter Estimates
- Observation-wise Statistics
- VAR6
- Diagnostic Plots
- Fit Diagnostics
- Residual Plots
- Undergrad
- Fit Plot
- The Reg Procedure
- MODEL1
- Fit
- VAR6
- Number of Observations
- Analysis of Variance
- Fit Statistics
- Parameter Estimates
- Observation-wise Statistics
- VAR6
- Diagnostic Plots
- Fit Diagnostics
- Residual Plots
- Per_capita_Income
- Fit Plot
SAS Regression Soln/SASSolutionprint.xps
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
The CONTENTS Procedure
Data Set Name
Observations
WORK.IMPORT51
Member Type
Variables
DATA9
Engine
Indexes
V90
Created
Observation Length
11/14/2017 18:50:2288
Last Modified
Deleted Observations
11/14/2017 18:50:220
ProtectionCompressed
NO
Data Set TypeSorted
NO
Label
Data Representation
SOLARIS_X86_64, LINUX_X86_64, ALPHA_TRU64, LINUX_IA64
Encoding
utf-8 Unicode (UTF-8)
Engine/Host Dependent Information
Data Set Page Size
65536
Number of Data Set Pages
1
First Data Page
1
Max Obs per Page
743
Obs in First Data Page
51
Number of Data Set Repairs
0
Filename
/tmp/SAS_work93340000368B_localhost.localdomain/SAS_workEB5F0000368B_localhost.localdomain/import.sas7bdat
Release Created
9.0401M4
Host Created
Linux
Inode Number
271800
Access Permission
rw-rw-r--
Owner Name
sasdemo
File Size
128KB
File Size (bytes)
131072
Alphabetic List of Variables and Attributes
#VariableTypeLenFormatInformatLabel
4
GunMurdersNum8BEST.GunMurders
Murder Rate regression using Gun Murders per Population
5
GunOwnershipNum8BEST.GunOwnership
3
MurdersNum8BEST.Murders
9
Per_capita_IncomeNum8BEST.Per capita Income
2
PopulationNum8BEST.Population
7
Poverty_rate_by_house_hold_incomNum8BEST.Poverty rate by house hold income
1
StateChar20$20.$20.State
1 of 17
11/14/2017 6:53 PM
8
UndergradNum8BEST.Undergrad
6
VAR6Num8BEST.Murder Rate (per 100,000)
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Sum of
Mean
SourceDFSquaresSquareF ValuePr > F
Model
130.1449730.144973.220.0787
Error
49458.109489.34917
Corrected Total
50488.25445
Root MSE
R-Square
3.057640.0617
Dependent Mean
Adj R-Sq
4.185230.0426
Coeff Var
73.05790
Parameter Estimates
Parameter
Standard
Murder Rate regression using Gun Murders per Population
VariableLabelDFEstimateErrort ValuePr > |t|
Intercept
Intercept13.578950.545276.56<.0001
GunMurders
GunMurders10.003290.001831.800.0787
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
2 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
3 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
4 of 1711/14/2017 6:53 PM
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Murder Rate regression by Gun Ownership per Population
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Sum of
Mean
SourceDFSquaresSquareF ValuePr > F
5 of 17
11/14/2017 6:53 PM
Model
156.8493256.849326.460.0143
Error
49431.405138.80419
Corrected Total
50488.25445
Root MSE
R-Square
2.967180.1164
Dependent Mean
Adj R-Sq
4.185230.0984
Coeff Var
70.89657
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Intercept
Intercept16.986881.178235.93<.0001
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
GunOwnership
GunOwnership1-7.583262.98427-2.540.0143
Murder Rate regression by Gun Ownership per Population
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
6 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
7 of 1711/14/2017 6:53 PM
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Murder Rate regression by Poverty Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Sum of
Mean
SourceDFSquaresSquareF ValuePr > F
8 of 17
11/14/2017 6:53 PM
Model
198.9110698.9110612.450.0009
Error
49389.343407.94578
Corrected Total
50488.25445
Root MSE
R-Square
2.818830.2026
Dependent Mean
Adj R-Sq
4.185230.1863
Coeff Var
67.35176
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Intercept
Intercept1-2.628431.97112-1.330.1885
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Poverty_rate_by_house_hold_incom
Poverty rate by house hold income10.458560.129973.530.0009
Murder Rate regression by Poverty Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
9 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
10 of 1711/14/2017 6:53 PM
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Murder Rate regression by the Literacy Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Sum of
Mean
SourceDFSquaresSquareF ValuePr > F
11 of 17
11/14/2017 6:53 PM
Model
149.3348949.334895.510.0230
Error
49438.919568.95754
Corrected Total
50488.25445
Root MSE
R-Square
2.992920.1010
Dependent Mean
Adj R-Sq
4.185230.0827
Coeff Var
71.51136
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Intercept
Intercept1-0.715282.12978-0.340.7384
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Undergrad
Undergrad10.177450.075612.350.0230
Murder Rate regression by the Literacy Rate
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
12 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
13 of 1711/14/2017 6:53 PM
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Murder Rate regression by the Income Levels
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
Number of Observations Read
51
Number of Observations Used
51
Analysis of Variance
Sum of
Mean
SourceDFSquaresSquareF ValuePr > F
14 of 17
11/14/2017 6:53 PM
Model
1232.25614232.2561444.46<.0001
Error
49255.998315.22446
Corrected Total
50488.25445
Root MSE
R-Square
2.285710.4757
Dependent Mean
Adj R-Sq
4.185230.4650
Coeff Var
54.61364
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Intercept
Intercept1-1.288820.88119-1.460.1500
Results: Program 1
http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
Parameter Estimates
Parameter
Standard
VariableLabelDFEstimateErrort ValuePr > |t|
Per_capita_Income
Per capita Income10.000112560.000016886.67<.0001
Murder Rate regression by the Income Levels
The REG Procedure
Model: MODEL1
Dependent Variable: VAR6 Murder Rate (per 100,000)
15 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
16 of 1711/14/2017 6:53 PM
Results: Program 1http://192.168.192.128/SASStudio/36/sasexec/submissions/27faf341-47f...
17 of 1711/14/2017 6:53 PM