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Quantitative Analysis- Regression analysis and descriptive Statistics . Kindly answer the questions as required and give examples. see the attached file.Topic: Probability
a) (5 marks)
Describe the classical method determine probability with example.
With reference from the Table Summary Table below, discuss the meaning, interpretation and any
important implications of the following statistics in column B:
Passengers
(100,000s)
Descriptive statistics
B
Mean (2 marks)
22.58333333
Standard Error
(2 marks)
2.805455544
Median (2 marks)
22
Mode (2 marks)
15
Standard Deviation
(2 marks)
9.71838308
1
Sample Variance
(2 marks)
94.4469697
Kurtosis
(3 marks)
0.723953163
Skewness
(3 marks)
0.899057655
Range (2 marks)
34
Minimum (1 marks)
10
2
Maximum (1 marks)
44
Sum (2 marks)
271
Count (2 marks)
12
Question Three (26 marks)
(a) What are the purposes of regression analysis? How does it help business? Provide a clear
relevant example with an explanation.
(b) Explain how a statistical significant relationship may not be practical for a management decision.
(5 marks)
3
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.916665699
R Square
0.840276003
Standard Error
4.073572418
Observations
12
ANOVA
df
Regression
Residual
Total
1
10
11
SS
MS
872.9767442 872.9767
165.9399225 16.59399
1038.916667
F
Significance F
52.608 2.74837E-05
Intercept
X Variable 1
Coefficients Standard Error t Stat
P-value
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
5.060077519
2.686944916 1.883209 0.089052 -0.926808842 11.04696 -0.926808842 11.04696388
1.593023256
0.219632305 7.253137 2.75E-05 1.103651983 2.082395 1.103651983 2.082394529
RESIDUAL OUTPUT
Observation
1
2
3
4
5
6
7
8
9
10
11
12
Predicted Y
16.21124031
8.246124031
14.61821705
11.43217054
27.3624031
28.95542636
30.54844961
24.17635659
27.3624031
36.92054264
28.95542636
16.21124031
Residuals
-1.21124031
1.753875969
-1.618217054
3.567829457
-2.362403101
-1.955426357
-6.548449612
-4.176356589
-0.362403101
7.079457364
5.044573643
0.78875969
(2 marks each. Total of 10 marks).
With reference from the Table: Summary Output, ABOVE,
discuss the meaning, interpretation and any important implications of the following statistics:
1. Multiple R
4
2. R Square
3. Standard
Error
4. Observations
5.
Significance F
5
Intercept Variable: (2 marks each. Total = 8 marks): discuss the meaning, interpretation and any
implications of the following statistics:
6. Intercept
Coefficient
7. Standard error
8. t-statistic
9. P-value
6
X Variable: (2 marks each. Total = 8 marks): discuss the meaning, interpretation and any important
implications of the following statistics:
10. X Variable
Coefficient
7. Standard error
8. t-statistic
7
9. P-value
THE END ☺
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