Expert answer:excel project
Expert answer:everythings in the file and the topic in there, also you can ask me to make sure the topic. and I need to show the data in excel.
research_paper_points_allocation.pdf
research_paper___mw.pdf
research_topic_form_zejian_yu__1_.docx
boston_housing_data.xlsx
college_data.xlsx
Unformatted Attachment Preview
Research Paper Points Breakdown (50 points)
Introduction
State research objective
2.5 points
Data Description
State data source
2.5 points
Summary statistics
10 points
*At least 3 variables
*At least Mean, Standard Deviation, Median (should also include min, max, and n)
Note: if working with categorical variables, will need to report category percentages instead of
mean.
Discussion of at least 1 stat.
5 points
Graphical Representation
5 points
Statistical Analysis
Hypothesis Test
7.5 points
*State null and alternative hypothesis
*State the type of test (z or t)
*State chosen level of significance and critical value
*State the test statistic and p-value (if using the p-value method)
Discussion of results
5 points
*State conclusion (reject or do not reject the null hypothesis)
*Interpret conclusion with respect to alternative hypothesis (There is/is not enough evidence to
claim…)
Other Stat./Inference
5 points
*Could be a confidence interval, correlation coefficient or another hypothesis test
*For a correlation coefficient, you must state the variables for which you are calculating the
correlation
*For a confidence interval, you must state where your critical values are coming from (z or t
distributions) and the chosen level of significance
1
Discussion/interpretation
2.5 points
*For a confidence interval, you need to interpret the interval
*For a correlation coefficient, you should discuss the implication of your findings
Other
Grammar/Full Sentences/ETC
5 points
2
ECON 235
Introduction to Statistics Research Paper
Students are expected to complete an empirical paper demonstrating an understanding and application
of the statistical tools covered in this course. The paper should be approximately 3 pages, doublespaced with 11 or 12 point font. The paper is due Wednesday, December 6.
Four excel files are posted on Canvas in the Data subfolder in the Research Paper folder. The student
should choose one of the datasets and form a hypothesis (or hypotheses) based on the variables
contained in the chosen dataset. The student should fully describe the pertinent data and perform
statistical analysis. This statistical analysis should speak to the research question (hypothesis) the
student has chosen.
The topic choice is up to the student given the supplied data, but the paper must contain the following
sections:
1.
2.
3.
4.
Introduction
Data description
Statistical analysis
Conclusion
Introduction
This section should set up the topic/question of the paper and what statistical tools the student will use
in the body of the paper. Examples of topics include:
Do borrowers with lower income have more debt than those with higher incomes?
What is the relationship between GDP and birth rates?
Do European countries have higher or lower birthrates than countries elsewhere in the world?
Is there a relationship between team batting average and winning percentage?
Do schools with higher tuition have high enrollments as well?
Appropriate research questions will become clear as we progress through the course. I will also suggest
additional topics throughout the beginning of the semester. The research question must be submitted
to me by Friday, September 29th via Canvas using the form posted in the Research Paper folder on
Canvas. On this form students will need to indicate which dataset they are using, what the research
question is, which variables they will use and why the question is interesting. I will approve the topic or
give the student suggestions for similar topics that fit the assignment objectives via assignment
feedback in Canvas.
Data Description
This section should begin with a thorough verbal description of the data written in your own words. You
should pick 3-6 variables from the dataset for this portion of the paper and discuss how they relate to
your research question. This discussion should also include the source of the data and
description/definitions of the variables of interest.
1
ECON 235
Students should report the usual descriptive statistics for all variables in a properly labeled table in this
section. The descriptive statistics should also be interpreted in a meaningful way. Is there anything
particularly interesting about these statistics? Is the standard deviation larger or smaller than the
mean? Loosely describe the distribution of the data. Mention if there are missing observations or
outliers.
In this section, students should also provide at least one graphical representation of the data. This can
be a histogram, pie chart, Pareto graph, etc. There should be a brief discussion of the graph. What does
it show us? Why is it interesting?
Statistical Analysis
In this section, students must perform at least two distinct analyses. The two separate analyses can be
statistical tests and/or metrics calculations (eg. correlation coefficient). At least one hypothesis test
must be performed. For statistical tests, students must provide the correct inference. If the student
calculates a confidence interval they also need to correctly interpret the interval. For correlation
coefficients, students should describe the correlation and its implications. In this section students may
also want to touch on any potential problems with the analysis or aspects of the data that make analysis
difficult.
Conclusion
This section of the paper should restate the topic, the data used to address the research question and
the main statistical results. It should also include a sentence or two about further questions that could
be addressed under the topic.
Other Notes & Requirements
•
•
•
•
•
The first page should be a title page with a succinct title, student’s full name and course number
(including section number).
Include last name and a page number on each page.
The pages should be stapled and in chronological order.
Please use APA format for any citations.
Use full sentences, complete paragraphs and proper grammar. Students will be graded on the
quality of their writing.
2
ECON 235
Research Topic
Fall 2017
Zejian Yu
Which Dataset are you using?
College_data
Boston housing data.
Which variables from the dataset interest you the most?
CCBASIC
AGE
Based on the variables you are interested in, what are some research questions you could ask? These
questions can be about the relationship between two variables or about a single variable.
Why are these questions interesting? Who would your audience be?
I think my audience would be all the students.
CRIM
ZN
9.91655
0.18337
0.20746
7.67202
9.33889
7.36711
9.18702
8.15174
8.79212
2.77974
0.04741
9.59571
7.99248
5.87205
9.92485
1.13081
4.66883
9.39063
7.52601
1.15172
2.44668
8.71675
1.38799
0.2498
9.82349
6.39312
3.32105
7.05042
6.71772
1.61282
8.20058
1.25179
0.10574
2.37934
8.64476
8.05579
0.84054
0.2909
9.32909
4.75237
7.02259
0.88125
5.58107
0.25387
1.62864
0.98843
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
INDUS
CHAS
18.1
27.74
27.74
18.1
18.1
18.1
18.1
18.1
18.1
19.58
11.93
18.1
18.1
18.1
18.1
8.14
18.1
18.1
18.1
8.14
19.58
18.1
8.14
21.89
18.1
18.1
19.58
18.1
18.1
8.14
18.1
8.14
27.74
19.58
18.1
18.1
8.14
21.89
18.1
18.1
18.1
21.89
18.1
6.91
21.89
8.14
NOX
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
RM
0.693
0.609
0.609
0.693
0.679
0.679
0.7
0.7
0.584
0.871
0.573
0.693
0.7
0.693
0.74
0.538
0.713
0.74
0.713
0.538
0.871
0.693
0.538
0.624
0.671
0.584
0.871
0.614
0.713
0.538
0.713
0.538
0.609
0.871
0.693
0.584
0.538
0.624
0.713
0.713
0.718
0.624
0.713
0.448
0.624
0.538
AGE
5.852
5.414
5.093
5.747
6.38
6.193
5.536
5.39
5.565
4.903
6.03
6.404
5.52
6.405
6.251
5.713
5.976
5.627
6.417
5.701
5.272
6.471
5.95
5.857
6.794
6.162
5.403
6.103
6.749
6.096
5.936
5.57
5.983
6.13
6.193
5.427
5.599
6.174
6.185
6.525
6.006
5.637
6.436
5.399
5.019
5.813
DIS
77.8
98.3
98
98.9
95.6
78.1
100
98.9
70.6
97.8
80.8
100
100
96
96.6
94.1
87.9
93.9
98.3
95
94
98.8
82
98.2
98.8
97.4
100
85.1
92.6
96.9
80.3
98.1
98.8
100
92.6
95.4
85.7
93.6
98.7
86.5
95.3
94.7
87.9
95.3
100
100
RAD
1.5004
1.7554
1.8226
1.6334
1.9682
1.9356
1.5804
1.7281
2.0635
1.3459
2.505
1.639
1.5331
1.6768
2.198
4.233
2.5806
1.8172
2.185
3.7872
1.7364
1.7257
3.99
1.6686
1.358
2.206
1.3216
2.0218
2.3236
3.7598
2.7792
3.7979
1.8681
1.4191
1.7912
2.4298
4.4546
1.6119
2.2616
2.4358
1.8746
1.9799
2.3158
5.87
1.4394
4.0952
24
4
4
24
24
24
24
24
24
5
1
24
24
24
24
4
24
24
24
4
5
24
4
4
24
24
5
24
24
4
24
4
4
5
24
24
4
4
24
24
24
4
24
3
4
4
1.35472
8.49213
2.36862
0.95577
6.28807
9.51363
7.75223
0.22489
6.96215
1.23247
5.44114
0.15086
1.12658
2.73397
9.96654
0.75026
0.97617
4.0974
2.15505
3.53501
0.38735
0.17171
2.63548
6.44405
5.09017
0.25915
0.25356
4.81213
0.21124
0.02498
0.67191
0.22927
4.87141
4.22239
0.22438
1.41385
0.35233
0.05023
9.72418
0.06162
7.40389
0.15038
0.13554
0.32264
1.20742
0.7842
0.03113
0
0
0
0
0
0
0
12.5
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
0
0
0
0
0
12.5
0
0
0
0
0
0
0
0
35
0
0
0
0
12.5
0
0
0
0
8.14
18.1
19.58
8.14
18.1
18.1
18.1
7.87
18.1
8.14
18.1
27.74
19.58
19.58
18.1
8.14
21.89
19.58
19.58
19.58
25.65
5.13
9.9
18.1
18.1
21.89
9.9
18.1
7.87
1.89
8.14
6.91
18.1
18.1
9.69
19.58
21.89
6.06
18.1
4.39
18.1
25.65
6.07
21.89
19.58
8.14
4.39
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0.538
0.584
0.871
0.538
0.74
0.713
0.713
0.524
0.7
0.538
0.713
0.609
0.871
0.871
0.74
0.538
0.624
0.871
0.871
0.871
0.581
0.453
0.544
0.584
0.713
0.624
0.544
0.713
0.524
0.518
0.538
0.448
0.614
0.77
0.585
0.871
0.624
0.4379
0.74
0.442
0.597
0.581
0.409
0.624
0.605
0.538
0.442
6.072
6.348
4.926
6.047
6.341
6.728
6.301
6.377
5.713
6.142
6.655
5.454
5.012
5.597
6.485
5.924
5.757
5.468
5.628
6.152
5.613
5.966
4.973
6.425
6.297
5.693
5.705
6.701
5.631
6.54
5.813
6.03
6.484
5.803
6.027
6.129
6.454
5.706
6.406
5.898
5.617
5.856
5.594
5.942
5.875
5.99
6.014
100
86.1
95.7
88.8
96.4
94.1
83.7
94.3
97
91.7
98.2
92.7
88
94.9
100
94.1
98.4
100
100
82.6
95.6
93.4
37.8
74.8
91.8
96
77.7
90
100
59.7
90.3
85.5
93.6
89
79.7
96
98.4
28.4
97.2
52.3
97.9
97
36.8
93.5
94.6
81.7
48.5
4.175
2.0527
1.4608
4.4534
2.072
2.4961
2.7831
6.3467
1.9265
3.9769
2.3552
1.8209
1.6102
1.5257
1.9784
4.3996
2.346
1.4118
1.5166
1.7455
1.7572
6.8185
2.5194
2.2004
2.3682
1.7883
3.945
2.5975
6.0821
6.2669
4.682
5.6894
2.3053
1.9047
2.4982
1.7494
1.8498
6.6407
2.0651
8.0136
1.4547
1.9444
6.498
1.9669
2.4259
4.2579
8.0136
4
24
5
4
24
24
24
5
24
4
24
4
5
5
24
4
4
5
5
5
2
8
4
24
24
4
4
24
5
1
4
3
24
24
6
5
4
1
24
3
24
2
4
4
5
4
3
0.17783
0.20608
3.69311
0.54452
2.33099
0.31827
8.98296
8.24809
0.32543
0.55778
0.63796
0.7258
0.04301
0.17134
0.26838
0.77299
0.32982
5.66637
0.14231
0.19133
0.28392
0.03041
0.22876
0.07244
0.14932
0.22212
0.06151
0.12329
0.09849
0.17004
0.11747
0.06417
0.0136
0.05497
3.77498
2.3139
4.42228
5.69175
0.15098
0.34006
0.17142
0.21161
0.14476
0.37578
0.06617
0.21977
0.04379
0
22
0
0
0
0
0
0
0
0
0
0
80
0
0
0
0
0
0
22
0
0
0
60
25
0
0
0
0
12.5
12.5
0
75
0
0
0
0
0
0
0
0
0
0
0
0
0
80
9.69
5.86
18.1
21.89
19.58
9.9
18.1
18.1
21.89
21.89
8.14
8.14
1.91
10.01
9.69
8.14
21.89
18.1
10.01
5.86
7.38
5.19
8.56
1.69
5.13
10.01
5.19
10.01
25.65
7.87
7.87
5.96
4
5.19
18.1
19.58
18.1
18.1
10.01
21.89
6.91
8.56
10.01
10.59
3.24
6.91
3.37
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0.585
0.431
0.713
0.624
0.871
0.544
0.77
0.713
0.624
0.624
0.538
0.538
0.413
0.547
0.585
0.538
0.624
0.74
0.547
0.431
0.493
0.515
0.52
0.411
0.453
0.547
0.515
0.547
0.581
0.524
0.524
0.499
0.41
0.515
0.655
0.605
0.584
0.583
0.547
0.624
0.448
0.52
0.547
0.489
0.46
0.448
0.398
5.569
5.593
6.376
6.151
5.186
5.914
6.212
7.393
6.431
6.335
6.096
5.727
5.663
5.928
5.794
6.495
5.822
6.219
6.254
5.605
5.708
5.895
6.405
5.884
5.741
6.092
5.968
5.913
5.879
6.004
6.009
5.933
5.888
5.985
5.952
5.88
6.003
6.114
6.021
6.458
5.682
6.137
5.731
5.404
5.868
5.602
5.787
73.5
76.5
88.4
97.9
93.8
83.2
97.4
99.3
98.8
98.2
84.5
69.5
21.9
88.2
70.6
94.4
95.4
100
84.2
70.2
74.3
59.6
85.4
18.5
66.2
95.4
58.5
92.9
95.8
85.9
82.9
68.2
47.6
45.4
84.7
97.3
94.5
79.8
82.6
98.9
33.8
87.4
65.2
88.6
25.8
62
31.1
2.3999
7.9549
2.5671
1.6687
1.5296
3.9986
2.1222
2.4527
1.8125
2.1107
4.4619
3.7965
10.5857
2.4631
2.8927
4.4547
2.4699
2.0048
2.2565
7.9549
4.7211
5.615
2.7147
10.7103
7.2254
2.548
4.8122
2.3534
2.0063
6.5921
6.2267
3.3603
7.3197
4.8122
2.8715
2.3887
2.5403
3.5459
2.7474
2.1185
5.1004
2.7147
2.7592
3.665
5.2146
6.0877
6.6115
6
7
24
4
5
4
24
24
4
4
4
4
4
6
6
4
4
24
6
7
5
5
5
4
8
6
5
6
2
5
5
5
3
5
24
5
24
24
6
4
3
5
6
4
4
3
4
0.26363
2.14918
0.26169
0.03466
0.13262
0.1712
0.03427
6.65492
0.85204
0.10328
1.19294
1.49632
4.03841
0.08873
0.2896
0.12802
0.24522
0.04544
0.62739
3.83684
3.1636
4.34879
0.09744
0.18836
0.10153
0.43571
6.80117
0.1396
0.10612
0.01965
0.11132
0.80271
5.82115
0.08387
0.07165
0.14103
0.3494
0.62976
0.13117
0.13058
0.35114
0.04337
0.09299
0.19657
0.04294
0.03306
0.10659
0
0
0
35
0
0
0
0
0
25
0
0
0
21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
30
80
0
0
0
0
0
0
0
0
0
0
0
21
0
22
28
0
80
8.56
19.58
9.9
6.06
8.56
8.56
5.19
18.1
8.14
5.13
21.89
19.58
18.1
5.64
9.69
8.56
9.9
3.24
8.14
18.1
18.1
18.1
5.96
6.91
12.83
10.59
18.1
8.56
4.93
1.76
27.74
8.14
18.1
12.83
25.65
13.92
9.9
8.14
8.56
10.01
7.38
5.64
25.65
5.86
15.04
5.19
1.91
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.52
0.871
0.544
0.4379
0.52
0.52
0.515
0.713
0.538
0.453
0.624
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0.52
0.544
0.46
0.538
0.77
0.655
0.58
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0.448
0.437
0.489
0.713
0.52
0.428
0.385
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0.713
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0.581
0.437
0.544
0.538
0.52
0.547
0.493
0.439
0.581
0.431
0.464
0.515
0.413
6.229
5.709
6.023
6.031
5.851
5.836
5.869
6.317
5.965
5.927
6.326
5.404
6.229
5.963
5.39
6.474
5.782
6.144
5.834
6.251
5.759
6.167
5.841
5.786
6.279
5.344
6.081
6.167
6.095
6.23
5.983
5.456
6.513
5.874
6.004
5.79
5.972
5.949
6.127
5.872
6.041
6.115
5.961
6.226
6.249
6.059
5.936
91.2
98.5
90.4
23.3
96.7
91.9
46.3
83
89.2
47.2
97.7
100
90.7
45.7
72.9
97.1
71.7
32.2
56.5
91.1
48.2
84
61.4
33.3
74.5
100
84.4
90
65.1
31.5
83.5
36.6
89.9
36.6
84.1
58
76.7
61.8
85.2
73.1
49.9
63
92.9
79.2
77.3
37.3
19.5
2.5451
1.6232
2.834
6.6407
2.1069
2.211
5.2311
2.7344
4.0123
6.932
2.271
1.5916
3.0993
6.8147
2.7986
2.4329
4.0317
5.8736
4.4986
2.2955
3.0665
3.0334
3.3779
5.1004
4.0522
3.875
2.7175
2.421
6.3361
9.0892
2.1099
3.7965
2.8016
4.5026
2.1974
6.32
3.1025
4.7075
2.1224
2.4775
4.7211
6.8147
2.0869
8.0555
3.615
4.8122
10.5857
5
5
4
1
5
5
5
24
4
8
4
5
24
4
6
5
4
4
4
24
24
24
5
3
5
4
24
5
6
1
4
4
24
5
2
4
4
4
5
6
5
4
2
7
4
5
4
2.37857
4.83567
0.04527
0.09065
0.03738
0.08707
3.67822
0.12816
0.03548
1.00245
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0.47547
0.29916
0.03961
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3.67367
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0.09512
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0.16902
7.83932
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0.26938
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0.79041
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0
0
20
0
0
0
12.5
80
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12.5
0
0
0
0
0
0
0
0
80
0
0
12.5
0
0
30
55
34
0
0
18.1
18.1
11.93
6.96
5.19
12.83
18.1
6.07
3.64
8.14
5.96
9.9
6.96
5.19
6.91
12.83
10.01
18.1
9.69
12.83
2.89
25.65
18.1
19.58
13.89
7.07
9.9
7.87
10.81
8.56
10.59
6.2
13.92
18.1
18.1
9.69
3.64
18.1
18.1
6.07
3.41
25.65
4.93
2.25
6.09
11.93
9.9
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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1
1
0
1
0
0
0
1
0
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0
0
0
0
0.583
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0.428
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0.544
5.871
5.905
6.12
5.92
6.31
6.14
5.362
5.885
5.876
6.674
5.85
6.113
5.856
6.037
6.069
6.232
6.176
6.312
6.019
6.286
6.163
5.986
6.209
6.122
5.951
6.421
6.266
5.889
5.961
6.195
5.96
6.164
6.009
6.395
5.762
5.707
6.108
8.78
4.963
5.878
6.405
5.87
6.897
6.453
6.59
6.794
6.122
41.9
53.2
76.7
61.5
38.5
45.8
96.2
33
19.1
87.3
41.5
58.8
42.1
34.5
40
53.7
72.5
51.9
65.3
45
69.6
88.4
65.4
97.3
93.8
78.9
82.8
39
17.5
54.4
92.1
91.3
42.3
91
40.3
54
32
82.9
91.4
21.4
73.9
69.7
54.3
31.9
40.4
89.3
52.8
3.724
3.1523
2.2875
3.9175
6.4584
4.0905
2.1036
6.498
9.2203
4.239
3.9342
4.0019
4.429
5.9853
5.7209
5.0141
2.7301
3.9917
2.4091
4.5026
3.4952
1.9929
2.9634
1.618
2.8893
4.9671
3.2628
5.4509
5.2873
2.7778
3.8771
3.048
5.5027
2.5052
4.0983
2.3817
9.2203
1.9047
1.7523
6.498
3.0921
2.2577
6.3361
7.3073
5.4917
2.3889
2.6403
24
24
1
3
5
5
24
4
1
4
5
4
3
5
3
5
6
24
6
5
2
2
24
5
5
2
4
5
4
5
4
8
4
24
24
6
1
24
24
4
2
2
6
1
7
1
4
0.11027
0.07151
0.1029
0.24103
0.05083
2.44953
0.0459
0.21719
0.06263
0.05188
0.25199
0.06466
0.04684
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0.13642
0.06724
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0.07022
0.03871
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3.56868
0.15445
1.42502
0.0456
0.09252
0.04981
0.19539
25
0
30
0
0
0
52.5
0
0
0
0
70
0
0
0
0
0
0
0
0
0
20
0
12.5
25
28
40
0
0
0
0
0
0
0
0
85
0
0
52.5
0
0
25
0
0
30
21
0
5.13
4.49
4.93
7.38
5.19
19.58
5.32
10.59
11.93
4.49
10.59
2.24
3.41
4.05
10.59
3.24
18.1
19.58
18.1
10.81
10.01
3.97
9.9
7.87
4.86
15.04
1.25
21.89
13.89
7.38
18.1
8.14
4.05
9.9
7.38
4.15
9.69
4.05
5.32
18.1
18.1
5.13
19.58
13.89
4.93
5.64
10.81
0
0
0
0
0
0
0
1
0
0
0
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1
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0.4
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0.413
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0.58
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6.121
6.358
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6.316
6.402
6.315
5.807
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6.015
5.783
6.345
6.417
5.859
5.891
6.333
6.112
5.854
6.127
6.065
6.715
5.56
6.635
6.012
6.167
6.442
6.49
6.372
6.373
6.312
6.242
5.935
5.572
6.382
6.376
6.516
5.67
6.02
6.209
6.051
6.437
6.145
6.51
5.888
6.606
5.998
6.245
67.8
56.8
52.9
43.7
38.1
95.2
45.6
53.8
69.1
45.1
72.7
20.1
66.1
68.7
22.3
17.2
81.3
91.8
83.4
7.8
81.6
62.8
82.5
66.6
46.7
53.6
44.4
97.9
92.4
28.9
64.7
29.3
88.5
67.2
54.3
27.7
28.8
47.2
31.3
82.5
75
29.2
100
56
42.2
21.4
6.2
7.2255
3.7476
7.0355
5.4159
6.4584
2.2625
7.3172
3.6526
2.4786
4.4272
4.3549
7.8278
3.0923
2.7019
3.9454
5.2146
2.5091
2.422
2.7227
5.2873
2.6775
1.9865
3.3175
5.5605
5.4007
3.6659
8.7921
2.3274
3.3633
5.4159
3.4242
4.4986
2.5961
3.5325
4.5404
8.5353
2.7986
3.5549
7.3172
2.1678
2.8965
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1.7659
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6.1899
6.8147
5.2873
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3
6
5
5
5
6
4
1
3
4
5
2
5
4
4
24
5
24
4
6
5
4
5
4
4
1
4
5
5
24
4
5
4
5
4
6
5
6
24
24
8
5
5
6
4
4
0.03584
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0.09178
0.28955
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80
0
0
0
30
30
0
0
0
0
0
25
0
0
55
0
18
0
0
82.5
60
0
0
0
22
0
0
22
20
22
80
0
0
0
0
0
85
25
22
52.5
70
21
25
28
0
0
0
3.37
3.41
4.05
10.59
4.93
4.93
18.1
19.58
19.58
9.9
7.38
4.86
4.49
13.92
3.78
11.93
2.31
6.2
12.83
2.03
1.69
10.81
19.58
6.2
5.86
10.59
10.59
5.86
6.96
5.86
2.01
9.69
4.05
7.38
5.96
6.91
0.74
4.86
5.86
5.32
2.24
5.64
5.13
15.04
19.58
10.59
7.38
0
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0.489
0.493
6.29
7.007
6.416
5.412
6.481
6.393
6.75
5.877
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6.567
6.426
6.619
6.389
6.127
6.696
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6.635
5.926
6.315
6.431
5.966
6. …
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