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Quantitative Analysis 1

48-hours individual take-home exam for the BSc in Business Administration Market Economist Program at the University of Southern Denmark. The exam is for the course Advanced Tools for Quantitative Analyses and is due on Friday, 14th, June at 12 noon.

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Added on  2022-12-26

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This document provides study material and solved assignments for Quantitative Analysis 1. It includes a correlation matrix, regression statistics, ANOVA, and descriptive statistics. The document also discusses hypothesis testing and the Kruskal Wallis test. Course code: N/A, Course name: Quantitative Analysis 1, College/University: N/A

Quantitative Analysis 1

48-hours individual take-home exam for the BSc in Business Administration Market Economist Program at the University of Southern Denmark. The exam is for the course Advanced Tools for Quantitative Analyses and is due on Friday, 14th, June at 12 noon.

   Added on 2022-12-26

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Quantitative Analysis 1
ADVANCED TOOLS FOR QUANTITATIVE ANALYSIS
By (Student Name)
Course Name
Professor Name
University Name
City State
Date
Quantitative Analysis 1_1
Quantitative Analysis 2
Number 1
a)
Correlation matrix
BIRTH
S BOM
INCOM
E
TREN
D
BIRTH
S 1
BOM
-
0.814
47 1
INCOM
E
-
0.865
1
0.9271
34 1
TREN
D
-
0.906
99
0.8701
77
0.9670
56 1
We notice a significant decrease in births. Again, no seasonality observed for births
b)
80 100 120 140 160 180 200 220 240 260 280
0
100
200
300
400
500
600
Time seris plot
BOM INCOME TREND
We notice a significant decrease in births. Again, no seasonality observed for births
c)
SUMMARY OUTPUT
Regression Statistics
Quantitative Analysis 1_2
Quantitative Analysis 3
Multiple R
0.86573
4
R Square
0.74949
5
Adjusted R
Square
0.74438
3
Standard
Error
21.4692
9
Observation
s 101
ANOVA
df
SS MS F
Significa
nce F
Regression 2
135149.
6
67574.
81
146.60
52
3.48E-
30
Residual 98
45171.1
9
460.93
06
Total 100
180320.
8
Coefficie
nts
Standard
Error t Stat
P-
value
Lower
95%
Upper
95%
Intercept
218.989
2
4.15040
3
52.763
35
9.08E-
74
210.752
8
227.22
55
BOM
-
0.02187
0.03340
6
-
0.6547
0.5141
97
-
0.08816
0.0444
22
INCOME
-
0.38706
0.06667
7
-
5.8049
8
7.95E-
08
-
0.51938
-
0.2547
4
Births = 218.9892 -0.02187 BOM -0.38706 INCOME
d)
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.91536
4
R Square
0.83789
1
Adjusted R
Square
0.83287
8
Standard
Error
17.3596
1
Observation 101
Quantitative Analysis 1_3
Quantitative Analysis 4
s
ANOVA
df
SS MS F
Significa
nce F
Regression 3
151089.
3
50363.
09
167.12
15
3.44E-
38
Residual 97
29231.5
4
301.35
61
Total 100
180320.
8
Coefficie
nts
Standard
Error t Stat
P-
value
Lower
95%
Upper
95%
Intercept
226.912
9
3.52835
1
64.311
31
2.39E-
81
219.910
1
233.91
57
BOM
-
0.07848 0.02811
-
2.7917
7
0.0063
14
-
0.13427
-
0.0226
9
INCOME
0.29858
1
0.10860
2
2.7493
09
0.0071
24
0.08303
6
0.5141
27
TREND
-
1.76154 0.24221
-
7.2727
6
9.1E-
11
-
2.24226
-
1.2808
2
Births = 226.9129 -0.07848 BOM +0.298581 INCOME -1.76154 TREND
Number 2
a)
0 10 20 30 40 50 60 70 80
0
5000
10000
15000
20000
25000
30000
determistic time series plot for BACGDP
Quantitative Analysis 1_4

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