Statistics - Exam Paper

M.Sc Program in Business Economics and Management

Course in Statistics

Postgraduate Program

Academic Year 2013-2014

Exam Paper

CONTENT

1. QUESTION # 1…………………………………………………………3

2. QUESTION # 2…………………………………………………………4

3. QUESTION # 3…………………………………………………………7

4. QUESTION # 4…………………………………………………………8

5. QUESTION # 5…………………………………………………………9

QUESTION # 1

X1 – SIZE

X2 – APARTMENTS

X3 – AGE

X4 – FLOORS

Not in the whole matrix can be seen existence of positive or negative regression. Not all the points are in a one line, they are somehow sleeted. So it would seems reasonable to use the regression analysis to predict the value of dependent variable Y for the given value of independent variables X1, X3, X4.

The first figure shows us that there is a positive dependence among the SIZE and PRICE:

The second figure shows us that there is a positive dependence among the APARTMENTS and PRICE:

The third figure shows us negative dependence among the AGE and PRICE:

The fourth figure shows us positive dependence among the AGE and PRICE:

QUESTION #2

The descriptive statistics for the individual series are shown on the diagrams.

We have Skewness = -0.165 <0 , we can conclude that we have negative assymetry distribution.

Kurtosis = 2.359

2.359-3 = - 0.641<0 we have platykurtic distribution.

We have Skewness = -0.05467 <0 , we have negative assymetry distribution.

Kurtosis=2.441

2.441-3 = -0.559<0 we have platykurtic distribution.

We have Skewness = 0.003 it tends to 0 , we can conclude that we have symmetry.

Kurtosis = 2.884

2.884-3= -0.116<0 we have platykurtic distribution

We have Skewness = 1.593>0 ,we have posituve assymetry distribution.

Kurtosis = 6.401

6.401-3= 3.401>0 we have leptokurtic distribution.

Correlation Matrix

| SIZE | PRICE | FLOORS | APARTMENTS | AGE |

SIZE |  1.000000 | | | | |

PRICE |  0.358792 |  1.000000 | | | |

FLOORS |  0.357766 |  0.203282 |...