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Regression analysis
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1
Content
• Find arithmetic mean, standard deviation and
CV for comparing the companies
• Find the correlation between opening price
and closing price of the company.
• Draw the line graph and scatter plot comment
on the graph.
• Find out a trend analysis for the closing and
opening price of the companies
2
• Arithmetic mean: The simplest and most
popular way to measure a mean or average is
the arithmetic mean.
Equation for arithmetic mean,
𝑥 = 𝑖=1
𝑛 𝑥𝑖
𝑛
• standard deviation (or σ) is a measure of how
dispersed the data is in relation to the mean.
SD =
(𝑥𝑖−𝑥)2
𝑛−1
3
• Coefficient of variation: A statistical indicator
of how evenly distributed data points are
around the mean is the coefficient of variation
(relative standard deviation).
CV (%)=
𝑆𝐷
𝑥
× 100
4
• Correlation: In the financial and investment
sectors, correlation is a statistic that gauges
how closely two assets move in tandem.
Advanced portfolio management makes use of
correlations, which are calculated as the
correlation coefficient, whose value must fall
between the range of -1.0 and +1.0.
r =
(𝑥𝑖−𝑥)(𝑦𝑖−𝑦)
𝑥𝑖−𝑥
2
(𝑦𝑖−𝑦)2
5
Arithmetic mean, standard deviation
and CV for comparing the companies
DBBL BRAC Bank IFIC Bank NBL Bank
Opening mean 62.61 38.5 11.545 8.3
Closing mean 62.605 38.5 11.53 8.3
Opening SD 0.0307739
51
0 0.099868334 0
Closing SD 0.0223606
8
0 0.07326951 0
Opening CV 0.0491604
39
0 0.865035378 0
Closing CV 0.0357170
83
0 0.635468428 0
6
Correlation between opening price and closing
price of the company.
Opening Price Closing price
Opening Price 1
Closing price -0.076471911 1
Dutch Bangla Bank
Opening price Closing Price
Opening price 1
Closing Price 0.237360937 1
IFIC BANK
7
Opening Price Closing Bank
Opening Price 1
Closing Bank #DIV/0! 1
BRAC BANK
NBL BANK
Opening Price Closing Bank
Opening Price 1
Closing Bank #DIV/0! 1
8
Drawing the line graph and scatter plot
comment on the graph
Dutch Bangla Bank
Line graph
62.54
62.56
62.58
62.6
62.62
62.64
62.66
62.68
62.7
62.72
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Opening price
Clossing Price
9
Scatter Plot
y = -0.0556x + 66.083
R² = 0.0058
62.58
62.6
62.62
62.64
62.66
62.68
62.7
62.72
62.58 62.6 62.62 62.64 62.66 62.68 62.7 62.72
Dutch Bangla Bank
Dutch Bangla Bank
Linear (Dutch Bangla Bank)
10
11
11.3
11.4
11.5
11.6
11.7
11.8
11.9
12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Opening Price
Clossing Price
IFIC Bank
Line graph
12
Scatter Plot
y = 0.1741x + 9.5195
R² = 0.0563
11.45
11.5
11.55
11.6
11.65
11.7
11.75
11.8
11.85
11.45 11.5 11.55 11.6 11.65 11.7 11.75 11.8 11.85 11.9 11.95
IFIC Bank
IFIC Bank
Linear (IFIC Bank)
13
14
NBL Bank
0
1
2
3
4
5
6
7
8
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Opening price
Closing price
Line graph
15
Scatter Plot
y = x
R² = 1
0
1
2
3
4
5
6
7
8
9
0 1 2 3 4 5 6 7 8 9
NBL Bank
NBL Bank
Linear (NBL Bank)
16
17
BRAC Bank
0
5
10
15
20
25
30
35
40
45
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Opening Price
Clossing Price
Line graph
18
Scatter Plot
0
5
10
15
20
25
30
35
40
45
0 5 10 15 20 25 30 35 40 45
BRAC Bank
BRAC Bank
Linear (BRAC Bank)
19
20
Trend analysis for the closing and
opening price of the companies
21

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Regression analysis.pptx

  • 2. Content • Find arithmetic mean, standard deviation and CV for comparing the companies • Find the correlation between opening price and closing price of the company. • Draw the line graph and scatter plot comment on the graph. • Find out a trend analysis for the closing and opening price of the companies 2
  • 3. • Arithmetic mean: The simplest and most popular way to measure a mean or average is the arithmetic mean. Equation for arithmetic mean, 𝑥 = 𝑖=1 𝑛 𝑥𝑖 𝑛 • standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. SD = (𝑥𝑖−𝑥)2 𝑛−1 3
  • 4. • Coefficient of variation: A statistical indicator of how evenly distributed data points are around the mean is the coefficient of variation (relative standard deviation). CV (%)= 𝑆𝐷 𝑥 × 100 4
  • 5. • Correlation: In the financial and investment sectors, correlation is a statistic that gauges how closely two assets move in tandem. Advanced portfolio management makes use of correlations, which are calculated as the correlation coefficient, whose value must fall between the range of -1.0 and +1.0. r = (𝑥𝑖−𝑥)(𝑦𝑖−𝑦) 𝑥𝑖−𝑥 2 (𝑦𝑖−𝑦)2 5
  • 6. Arithmetic mean, standard deviation and CV for comparing the companies DBBL BRAC Bank IFIC Bank NBL Bank Opening mean 62.61 38.5 11.545 8.3 Closing mean 62.605 38.5 11.53 8.3 Opening SD 0.0307739 51 0 0.099868334 0 Closing SD 0.0223606 8 0 0.07326951 0 Opening CV 0.0491604 39 0 0.865035378 0 Closing CV 0.0357170 83 0 0.635468428 0 6
  • 7. Correlation between opening price and closing price of the company. Opening Price Closing price Opening Price 1 Closing price -0.076471911 1 Dutch Bangla Bank Opening price Closing Price Opening price 1 Closing Price 0.237360937 1 IFIC BANK 7
  • 8. Opening Price Closing Bank Opening Price 1 Closing Bank #DIV/0! 1 BRAC BANK NBL BANK Opening Price Closing Bank Opening Price 1 Closing Bank #DIV/0! 1 8
  • 9. Drawing the line graph and scatter plot comment on the graph Dutch Bangla Bank Line graph 62.54 62.56 62.58 62.6 62.62 62.64 62.66 62.68 62.7 62.72 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Opening price Clossing Price 9
  • 10. Scatter Plot y = -0.0556x + 66.083 R² = 0.0058 62.58 62.6 62.62 62.64 62.66 62.68 62.7 62.72 62.58 62.6 62.62 62.64 62.66 62.68 62.7 62.72 Dutch Bangla Bank Dutch Bangla Bank Linear (Dutch Bangla Bank) 10
  • 11. 11
  • 12. 11.3 11.4 11.5 11.6 11.7 11.8 11.9 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Opening Price Clossing Price IFIC Bank Line graph 12
  • 13. Scatter Plot y = 0.1741x + 9.5195 R² = 0.0563 11.45 11.5 11.55 11.6 11.65 11.7 11.75 11.8 11.85 11.45 11.5 11.55 11.6 11.65 11.7 11.75 11.8 11.85 11.9 11.95 IFIC Bank IFIC Bank Linear (IFIC Bank) 13
  • 14. 14
  • 15. NBL Bank 0 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Opening price Closing price Line graph 15
  • 16. Scatter Plot y = x R² = 1 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 NBL Bank NBL Bank Linear (NBL Bank) 16
  • 17. 17
  • 18. BRAC Bank 0 5 10 15 20 25 30 35 40 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Opening Price Clossing Price Line graph 18
  • 19. Scatter Plot 0 5 10 15 20 25 30 35 40 45 0 5 10 15 20 25 30 35 40 45 BRAC Bank BRAC Bank Linear (BRAC Bank) 19
  • 20. 20
  • 21. Trend analysis for the closing and opening price of the companies 21