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

Adjusted R Square 0.824303603

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 ☺

8

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