University of New Brunswick The Professor Propose Case Study Please read the Professor Proposes Case and Data carefully. 1. There is a “Professor Proposes
University of New Brunswick The Professor Propose Case Study Please read the Professor Proposes Case and Data carefully. 1. There is a “Professor Proposes Template” as the attached file. 2. Totally around 15 pages. (summary+analysis+conclusion)3. Using SPSS program or Excel.Thank you so much. THE PROFESSOR PROPOSES
A CASE STUDY
3628 Advanced Statistics for Finance
Submitted By
BHARAT BHUSHAN VERMA
368 9911
Submitted To
Dr. Bharat Bhushan Verma
in Partial Fulfillment of the Requirement for the degree
Bachelor of Business / Economics
University of New Brunswick
Table of Contents
Executive Summary ……………………………………………………………………………………………………………… 3
Issues and Challenges …………………………………………………………………………………………………….. 4
Exploratory Data Analysis …………………………………………………………………………………………….. 4
Univariate Analysis / Feature Engineering ………………………………………………………. 4
Metric Data …………………………………………………………………………………………………………………… 4
Price…………………………………………………………………………………………………………………………….. 4
Carat…………………………………………………………………………………………………………………………….. 5
Clarity ………………………………………………………………………………………………………………………… 6
Non Metric Data…………………………………………………………………………………………………………… 8
Color…………………………………………………………………………………………………………………………….. 8
Cut ………………………………………………………………………………………………………………………………… 9
Certification …………………………………………………………………………………………………………. 10
Polish ………………………………………………………………………………………………………………………… 11
Symmetry ……………………………………………………………………………………………………………………. 12
Bivariate Analysis – Metric ………………………………………………………………………………………. 13
High Carat High Price Data Set …………………………………………………………………………. 14
Regression with Carat ……………………………………………………………………………………………. 15
Regression with Clarity ……………………………………………………………………………………….. 16
Bivariate Analysis – Non Metric ……………………………………………………………………………… 17
Regression with Certification …………………………………………………………………………… 17
Regression using Cut ………………………………………………………………………………………………. 18
Regression using Polish ……………………………………………………………………………………….. 19
Regression using Symmetry ……………………………………………………………………………………. 20
Regression using Color ………………………………………………………………………………………….. 21
Multiple Regression – High Priced Diamond ………………………………………………………… 22
Multiple Regression of Low priced Diamond ………………………………………………………… 24
Observations and Comments …………………………………………………………………………………………… 25
Executive Summary
Issues and Challenges
Put a few bullet points identifying the challenge and the
issue you are addressing
Exploratory Data Analysis
The exploratory data analysis involved
analysis and feature engineering. Sample
univariate
Univariate Analysis / Feature Engineering
Metric Data
Price
Price
Valid
Missing
Mean
Median
Std. Deviation
Range
Minimum
Maximum
440
0
1716.74
2169.0
1175.69
2985
160
3145
The Price ranged from 160 to 3145 and had bimodal distribution.
The diamonds appear to be in two clusters less than $1000 and
higher than $1000.
Carat
Sample: Put the relevant analysis and graphs.
The Carat ranged from 0.09 to 1.58 and had bimodal distribution.
The diamonds appear to be in two clusters 0.09 to 0.30 and 0.81
to 1.58 carats.
Clarity
Clarity
I1
I2
SI1
SI2
SI3
VS1
VS2
VVS1
VVS2
Total
Frequency Percent Valid Percent Cumulative Percent
82
18.6
18.6
18.6
28
6.4
6.4
25.0
116
26.4
26.4
51.4
110
25.0
25.0
76.4
26
5.9
5.9
82.3
30
6.8
6.8
89.1
41
9.3
9.3
98.4
2
.5
.5
98.9
5
1.1
1.1
100.0
440
100.0
100.0
Observations
Clarity as non-metric (Explore)
Clarity as Interval scaled (Explore)
Non Metric Data
Color
Color
D
E
F
G
H
I
J
K
L
Total
Frequency
20
54
58
43
71
79
72
31
12
440
Percent
Valid Percent
Cumulative Percent
4.5
12.3
13.2
9.8
16.1
18.0
16.4
7.0
2.7
100.0
4.5
12.3
13.2
9.8
16.1
18.0
16.4
7.0
2.7
100.0
4.5
16.8
30.0
39.8
55.9
73.9
90.2
97.3
100.0
Compress the number of classes.
Color N Classes
Color 2 Classes
Cut
Cut
F
G
I
V
X
Total
Frequency
59
49
86
97
149
440
Percent
Valid Percent
Cumulative Percent
13.4
11.1
19.5
22.0
33.9
100.0
13.4
11.1
19.5
22.0
33.9
100.0
13.4
24.5
44.1
66.1
100.0
Cut has reasonably balanced representation of each class.
Try N classes in right order and labeling
Certification
Certification
AGS
DOW
EGL
GIA
IGI
Total
Frequency Percent Valid % Cum %
12
2.9
2.9
2.9
1
.2
.2
3.2
119
27.0
27.0
30.2
265
60.1
60.1
90.2
43
9.8
9.8 100.0
441
100.0
100.0
We can club certification in two classes as established and
small labs
CertG
AGS – GIA
Rest
Total
Frequency Percent Valid Percent Cumulative Percent
277
63.0
63.0
63.0
163
37.0
37.0
100.0
440
100.0
100.0
Polish
Polish
Frequency
Percent
Valid Percent
Cumulative Percent
F
5
1.1
1.1
G
165
37.5
37.5
I
5
1.1
1.1
V
204
46.4
46.4
X
61
13.9
13.9
Total
440
100.0
100.0
Fair and Ideal has very less representation in the data.
1.1
38.6
39.8
86.1
100.0
Symmetry
Symmetry
F
G
I
V
X
Total
Frequency
21
157
5
206
51
441
%
Valid % Cumulative %
5.0
5.0
5.0
35.6
35.6
40.6
1.1
1.1
41.7
46.7
46.7
88.4
11.6
11.6
100.0
100.0
100.0
Bivariate Analysis – Metric
We observe that there are two distinct clusters with low carat
(0.09 – 0.30) diamonds having low prices and higher carat
diamonds having higher prices.
We will build two models for these two clusters. Besides we will
focus on the cluster containing Professors diamond.
High Carat High Price Data Set
Regression with Carat
Model
1
R
.327a
R2
.107
Adjusted R2
SE of the Estimate Durbin-Watson
.103
347.86786
.534
a. Predictors: (Constant), Carat
b. Dependent Variable: Price
ANOVA
Regression
Residual
Total
Sum of Squares
3456697.034
28800866.820
32257563.850
df
Mean Square
1 3456697.034
238
121012.045
239
F
28.565
Coefficient
(Constant)
Carat
B
Std. Error Beta t
Sig.
3740.984
185.421
20.176 .000
-980.604
183.475 -.327 -5.345 .000
Sig.
.000b
R2 of 10.7% indicates somewhat low correlation between carats and
price. The negative regression coefficient is surprising. Somehow
heavier diamonds are not valued as much. We will need to consider
other factors which can possibly explain lower prices for higher
carat diamonds. For other variables we will use dummy variables.
Regression with Clarity
Case 1: Several permutations give at best a regression
coefficient of 10%.
Case 2: Rating scale I3=1 to FL=12 gives a regression
coefficient of 0.333.
Bivariate Analysis – Non Metric
Regression with Certification
We consider certification by GIA and AGS as one category and rest
as other. It can be noticed that better R2 can be achieved by
reducing number of attributes of categorical variables.
Regression using Cut
Regression using Polish
Regression using Symmetry
Regression using Color
Multiple Regression – High Priced Diamond
Using the parameters of the Professors Diamond We can
compute the predicted price:
Feature
Attributes
Coefficient
Value
Constant
Total
Multiple Regression of Low priced Diamond
Observations and Comments and Conclusion
1.
Carat Colour Clarity Cut
0.92
I
SI2
G
0.92
I
SI2
V
0.82
F
SI2
I
0.81
G
SI1
I
0.9
J
VS2
V
0.87
F
SI2
I
0.8
D
SI2
I
0.84
F
SI1
G
0.8
D
SI2
V
0.8
D
SI2
V
0.85
G
SI2
I
0.83
G
SI2
I
0.82
H
VS1
G
0.82
G
SI1
I
0.8
F
SI1
V
0.91
J
SI1
V
0.81
F
SI1
V
0.9
I
SI1
V
0.81
E
SI2
I
0.81
E
SI2
I
0.81
E
SI2
I
0.8
I
VS1
I
0.8
I
VS1
I
0.8
G
SI1
I
0.81
H
SI1
V
0.91
H
SI2
G
0.83
D
SI2
G
0.83
I
VS2
V
0.88
I
SI1
I
0.9
G
SI2
F
0.9
H
SI2
V
0.9
G
SI2
F
0.91
I
SI2
I
0.81
D
SI2
V
0.81
F
SI1
V
0.85
E
SI2
I
0.85
F
SI2
V
0.81
E
SI2
V
0.81
I
VS1
I
0.8
F
SI1
V
0.9
H
SI2
F
Certification Polish Symmetry Price
Wholesaler
1
AGS
V
V
$3,000
1
AGS
G
G
$3,000
1
GIA
X
X
$3,004
1
GIA
X
V
$3,004
1
GIA
V
V
$3,006
1
AGS
G
V
$3,007
1
GIA
V
V
$3,008
1
GIA
V
V
$3,010
1
GIA
V
V
$3,012
1
GIA
V
X
$3,012
1
GIA
V
V
$3,014
1
GIA
X
X
$3,014
1
AGS
G
V
$3,015
1
GIA
X
X
$3,015
1
GIA
V
V
$3,022
1
GIA
V
V
$3,023
1
AGS
V
V
$3,027
1
GIA
X
V
$3,028
1
GIA
V
X
$3,029
1
GIA
X
X
$3,029
1
GIA
G
G
$3,031
1
AGS
I
I
$3,031
1
AGS
I
I
$3,031
1
GIA
X
V
$3,035
1
GIA
G
V
$3,036
1
GIA
V
G
$3,038
1
GIA
G
G
$3,041
1
GIA
G
G
$3,041
1
AGS
I
I
$3,042
1
GIA
V
V
$3,043
1
GIA
V
G
$3,043
1
GIA
G
V
$3,043
1
GIA
V
V
$3,044
1
GIA
G
G
$3,044
1
GIA
X
X
$3,049
1
GIA
V
X
$3,051
1
AGS
G
G
$3,051
1
GIA
V
G
$3,051
1
AGS
I
I
$3,053
1
GIA
G
G
$3,053
1
GIA
V
G
$3,056
0.81
0.8
0.8
0.9
0.8
0.8
0.9
0.9
0.8
0.82
0.81
0.81
0.8
0.9
0.9
0.82
0.8
0.91
0.92
1
1.06
1
1.01
1.04
1.05
1.23
1.18
1.02
1
1
1.05
1
1.02
1
1
1.01
1.01
1.04
1
1
1.01
1.01
I
H
E
J
E
I
I
I
E
H
G
E
H
F
I
I
H
H
J
L
L
K
G
J
J
I
H
I
I
L
H
G
J
H
F
F
L
F
H
I
I
I
VS1
VS1
SI2
VS2
SI2
VS1
SI2
SI2
SI2
SI1
SI2
SI1
VS2
SI2
SI1
VS2
SI1
SI2
SI1
SI3
SI3
I2
I2
I1
I1
I2
I2
I2
I2
I1
I2
I1
I1
SI3
I1
I1
SI3
I2
I1
I1
I1
I1
G
V
V
G
V
I
G
V
V
V
I
V
I
F
G
I
V
F
V
F
F
F
F
G
G
G
F
X
F
X
X
F
F
F
I
X
I
X
F
F
F
F
GIA
GIA
GIA
AGS
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
AGS
GIA
GIA
GIA
GIA
GIA
GIA
EGL
EGL
GIA
GIA
EGL
EGL
GIA
DOW
GIA
GIA
GIA
GIA
EGL
EGL
EGL
EGL
EGL
EGL
GIA
EGL
EGL
EGL
EGL
G
V
V
X
V
X
V
V
X
G
V
X
I
v
V
X
V
V
V
F
G
V
G
G
V
G
G
G
G
X
V
G
G
F
G
G
G
G
G
G
G
G
G
V
V
X
G
V
V
V
V
G
V
X
I
G
G
X
V
V
V
F
G
V
V
G
G
F
F
G
V
G
V
F
G
F
G
G
G
G
F
G
G
F
$3,057
$3,059
$3,062
$3,064
$3,064
$3,067
$3,069
$3,069
$3,071
$3,072
$3,079
$3,079
$3,080
$3,081
$3,081
$3,085
$3,086
$3,089
$3,091
$1,856
$1,892
$1,918
$1,929
$1,966
$1,985
$1,988
$2,031
$2,035
$2,045
$2,049
$2,065
$2,070
$2,100
$2,101
$2,128
$2,149
$2,156
$2,162
$2,168
$2,170
$2,192
$2,192
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1.1
1.02
1
1
1
1.01
1.21
1
1.16
1.17
1
1.04
1
1
1.01
1.09
1.02
1.05
1.1
1
1.06
1.01
1.01
1
1.03
1.15
1
1
1.01
1.07
1.04
1.25
1.05
1.09
1.14
1.11
1.21
1
1.03
1.03
1.21
1.04
I
I
K
J
E
E
L
K
I
H
F
K
J
E
H
G
K
F
G
F
F
G
G
I
H
J
K
K
F
L
H
J
I
K
L
G
K
E
G
G
J
G
I2
I1
I1
I1
I1
I2
I2
SI3
I1
I2
I1
I1
SI3
I2
I1
I2
SI3
I2
I2
I1
I2
I1
I1
I1
I1
I1
SI2
SI2
I1
SI3
I1
I2
I1
I1
I2
I2
SI3
SI3
I1
I1
I1
I1
I
F
X
F
G
G
X
X
F
X
F
X
F
X
X
X
V
G
X
G
G
G
I
F
I
F
X
F
X
X
I
F
F
X
X
X
F
F
X
F
X
I
GIA
EGL
GIA
EGL
EGL
EGL
GIA
EGL
EGL
GIA
EGL
EGL
EGL
GIA
EGL
GIA
EGL
GIA
GIA
EGL
GIA
EGL
EGL
EGL
EGL
EGL
EGL
EGL
EGL
EGL
EGL
GIA
GIA
GIA
GIA
GIA
EGL
EGL
GIA
GIA
GIA
GIA
V
G
V
G
G
V
G
G
G
V
V
V
G
G
V
G
G
F
V
G
G
V
V
G
V
G
G
G
G
G
V
G
G
G
V
G
G
G
V
G
G
V
F
F
G
G
G
G
G
V
G
V
G
V
G
G
X
G
G
F
V
G
V
V
V
G
V
G
G
F
V
G
X
G
G
G
V
G
G
G
G
V
G
G
$2,195
$2,213
$2,226
$2,228
$2,243
$2,252
$2,263
$2,288
$2,292
$2,301
$2,306
$2,308
$2,310
$2,316
$2,321
$2,330
$2,333
$2,338
$2,351
$2,359
$2,360
$2,363
$2,363
$2,364
$2,367
$2,368
$2,380
$2,380
$2,382
$2,386
$2,390
$2,397
$2,413
$2,427
$2,437
$2,438
$2,446
$3,080
$3,082
$3,082
$3,083
$3,084
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1.19
1.01
1.04
1.02
1.2
1.2
1.02
1.04
1.01
1
1.01
1
1.01
1.43
1
1
1
1.11
1.01
1.01
1.01
1.14
1.12
1
1.01
1.02
1.11
1.1
1.13
1
1.26
1
1
1
1
1.02
1.01
1
1
1
1.02
1.23
H
H
J
H
I
I
K
F
E
G
I
E
D
I
J
J
J
K
G
F
J
E
G
J
G
D
I
H
K
J
K
D
D
I
I
I
K
H
H
G
D
K
I1
SI2
SI1
I1
I1
I1
VS2
SI3
I1
I1
SI2
SI3
I1
I2
SI2
SI2
SI2
SI2
I1
SI3
SI1
I1
I1
SI1
SI3
SI3
SI2
I1
VS1
SI2
I1
I1
I1
SI2
SI2
SI3
SI2
SI2
SI2
I1
I1
SI2
F
G
X
X
F
F
I
I
G
X
G
X
F
X
X
I
X
X
X
I
X
G
X
X
X
I
X
X
X
F
X
G
X
G
G
X
X
I
G
I
F
X
EGL
EGL
EGL
GIA
EGL
EGL
EGL
EGL
GIA
GIA
EGL
EGL
GIA
GIA
EGL
EGL
EGL
GIA
GIA
EGL
EGL
EGL
GIA
EGL
EGL
EGL
EGL
GIA
EGL
GIA
GIA
EGL
EGL
EGL
EGL
EGL
GIA
EGL
EGL
GIA
EGL
GIA
V
V
V
G
V
G
X
V
X
X
V
G
V
G
G
V
V
V
G
V
V
G
V
V
G
X
V
V
G
G
V
G
G
V
V
G
X
G
G
G
G
X
G
V
X
F
G
G
X
X
V
V
G
G
G
G
G
X
G
V
G
G
X
G
V
G
G
X
G
V
V
F
G
G
V
G
V
G
V
V
G
G
V
G
$3,085
$3,086
$3,089
$3,089
$3,093
$3,093
$3,093
$3,093
$3,098
$3,101
$3,102
$3,105
$3,107
$3,108
$3,108
$3,108
$3,108
$3,108
$3,108
$3,111
$3,111
$3,112
$3,112
$3,114
$3,118
$3,119
$3,122
$3,124
$3,124
$3,125
$3,125
$3,126
$3,126
$3,127
$3,127
$3,130
$3,135
$3,135
$3,135
$3,136
$3,137
$3,137
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1.01
1.07
1.01
1.01
1.01
1.01
1.01
1.01
1.01
1.15
1.03
1.04
1.01
1.03
1
1.15
1.01
1
1.12
1.01
1.03
1.01
1.01
1.01
1.22
1.2
1.1
1.16
1.02
1.23
1
1.01
1.19
1.02
1.33
1.1
1.58
1.04
1.01
1
1.02
1.02
G
E
J
J
J
J
J
J
J
E
G
J
J
H
J
J
J
E
K
E
K
E
E
E
K
G
G
J
E
L
J
F
H
H
L
F
K
K
J
H
G
K
SI2
SI3
SI2
SI2
SI2
SI2
SI2
SI2
SI2
I1
I1
SI1
SI1
I1
SI2
SI3
SI2
I1
I1
I2
SI3
I1
I1
I1
I1
I2
I1
I1
I1
I1
SI2
SI3
I2
I1
SI3
I2
I2
I1
SI3
I1
I1
SI2
F
X
X
I
X
X
I
I
X
X
X
X
G
X
G
G
I
F
F
X
I
X
G
X
F
X
X
V
X
X
F
X
X
F
X
X
F
X
X
G
I
X
EGL
EGL
EGL
EGL
EGL
EGL
EGL
EGL
EGL
EGL
GIA
EGL
EGL
EGL
EGL
EGL
EGL
EGL
GIA
GIA
EGL
EGL
EGL
EGL
EGL
GIA
EGL
EGL
EGL
GIA
EGL
EGL
GIA
EGL
EGL
GIA
GIA
GIA
EGL
GIA
EGL
EGL
G
G
V
V
V
V
V
V
G
V
G
V
G
G
G
G
V
V
G
G
G
G
G
G
V
G
V
G
V
G
V
V
G
G
G
V
F
G
V
G
V
V
V
V
V
X
V
V
X
V
V
V
G
V
V
G
V
G
X
G
F
G
G
V
G
G
G
G
V
G
V
G
G
V
G
F
V
V
F
G
V
G
X
V
$3,138
$3,138
$3,139
$3,139
$3,139
$3,139
$3,139
$3,139
$3,139
$3,140
$3,141
$3,142
$3,145
$2,451
$2,452
$2,467
$2,476
$2,486
$2,493
$2,495
$2,511
$2,511
$2,511
$2,511
$2,516
$2,565
$2,574
$2,584
$2,586
$2,586
$2,591
$2,600
$2,600
$2,601
$2,607
$2,617
$2,620
$2,625
$2,625
$2,625
$2,625
$2,629
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1.01
1.01
1.01
1
1
1.01
1
1
1.14
1
1.01
1.03
1.03
1.05
1.41
1.16
1.01
1
1
1
1.06
1.01
1.12
1.07
1.04
1
1.1
1.16
1
1
1
0.09
0.09
0.09
0.09
0.09
0.1
0.1
0.1
0.1
0.1
0.1
H
I
J
L
I
K
G
K
F
K
D
D
D
J
K
D
K
E
K
J
F
E
L
L
D
J
G
F
G
J
J
D
E
F
E
E
E
F
E
F
F
F
SI3
I1
SI3
VS2
SI3
SI1
SI3
SI2
I1
SI1
I1
I1
I1
I1
I2
I2
SI1
I1
SI2
SI2
I1
I1
SI2
SI2
I1
SI2
I1
I1
I1
SI1
SI1
SI1
SI1
SI1
SI1
VS1
VS2
VS1
VS2
VS2
SI1
SI1
F
X
F
F
F
F
F
I
I
G
X
X
F
X
X
F
I
G
X
F
F
X
G
X
I
X
X
X
X
F
F
X
I
I
I
I
V
V
X
X
X
X
EGL
GIA
EGL
GIA
EGL
EGL
EGL
GIA
EGL
EGL
EGL
EGL
EGL
GIA
GIA
GIA
EGL
EGL
GIA
EGL
EGL
EGL
EGL
GIA
EGL
EGL
EGL
GIA
GIA
EGL
EGL
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
G
V
G
G
G
V
F
V
V
G
V
G
G
V
G
G
V
G
V
G
G
G
G
V
X
V
G
G
V
V
G
G
G
V
G
V
V
G
G
V
G
G
F
G
G
G
G
G
F
V
V
V
X
V
G
G
G
G
X
G
V
F
G
V
G
V
X
V
V
F
V
G
F
G
G
G
G
G
G
G
G
G
G
G
$2,640
$2,651
$2,654
$2,655
$2,660
$2,668
$2,678
$2,682
$2,689
$2,689
$2,692
$2,692
$2,692
$2,693
$2,704
$2,714
$2,716
$2,730
$2,745
$2,745
$2,745
$2,757
$2,765
$2,770
$2,772
$2,772
$2,772
$2,775
$2,779
$2,780
$2,780
$190.00
$160.00
$160.00
$180.00
$190.00
$330.00
$180.00
$180.00
$180.00
$190.00
$160.00
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.11
0.11
0.11
0.11
0.11
0.2
0.21
0.21
0.21
0.21
0.21
0.21
0.21
0.22
0.22
0.22
0.22
0.22
0.23
0.23
0.23
0.23
0.23
0.23
0.23
0.27
0.28
0.28
0.3
0.3
0.3
0.3
0.3
0.3
0.3
E
E
E
E
F
F
E
F
F
E
F
F
F
G
F
E
E
F
F
E
E
F
D
F
E
E
F
F
E
F
F
F
E
E
E
I
J
I
I
D
J
J
SI1
SI2
VS1
VS1
SI1
VS1
VS2
SI1
VS2
SI1
VS2
SI1
SI1
SI1
SI1
VS2
VVS2
SI1
VS2
VS2
SI1
SI1
SI1
SI1
SI1
SI1
VVS2
SI1
SI1
VS2
SI1
SI1
VS2
VVS2
VVS2
I1
SI2
SI2
SI2
I1
SI1
SI1
V
G
V
X
V
X
V
G
G
X
V
I
X
V
I
V
X
X
X
I
I
V
X
V
I
V
X
X
I
X
V
X
I
X
X
I
V
X
V
X
V
G
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
IGI
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
G
V
G
G
G
G
G
G
G
G
V
V
G
G
G
V
V
V
G
V
G
G
G
G
V
V
V
G
G
V
G
G
V
V
V
G
V
V
G
V
G
X
G
G
G
G
G
G
G
G
G
G
V
G
G
G
G
G
G
V
G
G
G
G
G
G
V
V
V
G
G
G
G
G
V
X
X
V
V
V
V
V
X
X
$160.00
$190.00
$180.00
$180.00
$180.00
$180.00
$180.00
$160.00
$190.00
$160.00
$180.00
$180.00
$320.00
$330.00
$330.00
$340.00
$320.00
$330.00
$340.00
$340.00
$360.00
$330.00
$340.00
$330.00
$340.00
$404.00
$665.00
$360.00
$360.00
$360.00
$340.00
$360.00
$594.00
$658.00
$658.00
$372.00
$439.00
$466.00
$466.00
$466.00
$466.00
$466.00
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
J
K
J
I
I
J
J
J
J
J
D
H
H
H
H
H
H
I
G
J
J
J
J
J
J
H
H
H
H
H
E
F
F
F
F
F
F
F
F
F
F
G
SI1
VS1
VS2
SI2
SI2
SI1
SI1
SI1
SI1
SI1
I1
SI2
SI2
SI2
SI2
SI2
SI2
SI1
SI2
VS2
VS2
VS2
VS2
VS2
VS2
SI2
SI2
SI2
SI1
SI1
SI2
SI2
SI2
SI2
SI2
SI2
SI2
SI2
SI2
SI2
SI2
SI2
V
V
F
V
I
X
V
X
X
G
X
G
X
X
I
X
X
I
G
X
V
V
I
V
X
G
V
X
F
V
X
V
V
V
X
I
I
I
I
V
V
X
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
X
X
V
G
X
V
X
X
V
V
V
V
V
V
V
V
V
V
G
V
V
G
V
V
V
X
X
X
V
V
G
V
V
G
V
V
V
G
V
V
V
X
V
V
V
V
X
G
V
G
V
V
V
V
V
V
V
V
V
V
G
V
V
V
V
V
V
X
V
X
X
V
G
V
V
V
G
V
V
V
V
V
V
V
$466.00
$466.00
$468.00
$476.00
$476.00
$476.00
$476.00
$476.00
$476.00
$476.00
$490.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$493.00
$504.00
$504.00
$504.00
$519.00
$519.00
$519.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
G
G
I
I
I
I
F
F
G
G
G
G
G
I
I
I
I
I
I
I
I
I
I
I
I
I
J
J
J
J
J
J
J
J
J
J
J
J
J
J
J
J
SI2
SI2
SI1
SI1
SI1
SI1
SI2
SI2
SI2
SI2
SI2
SI2
SI2
SI1
SI1
SI1
SI1
SI1
SI1
SI1
SI1
SI1
SI1
SI1
SI1
SI1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
VS1
I
I
V
V
V
V
I
V
G
V
X
X
V
G
V
V
V
V
I
F
X
I
I
I
V
X
V
X
V
V
X
V
X
V
X
X
G
X
X
I
V
I
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
GIA
V
V
X
V
V
X
G
V
V
X
V
V
G
V
V
G
V
V
V
G
V
G
V
V
V
X
X
V
V
V
V
V
V
V
G
V
X
V
X
V
V
V
V
V
V
V
X
X
G
X
V
V
V
V
V
V
V
V
V
V
V
V
G
G
V
V
V
V
V
V
V
X
X
V
V
V
V
V
V
V
X
G
V
V
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
$520.00
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
0.3
K
G
I
I
I
I
D
G
E
E
H
H
H
H
H
H
I
E
E
E
E
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
VVS2
SI2
SI1
SI1
SI1
SI1
SI2
SI1
SI2
SI2
SI1
SI1
SI1
SI1
SI1
SI1
VS2
S…
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