P32/CMP242/HA1/2012 Statistical Techniques

Home Assignment – 1 Marks : 50 Instructions

1. You are given five case studies in this assignment. Attempt all questions on these case studies.

2. Figures on the right hand side bracket indicates Marks 1. Description A survey was conducted among the residents of Pune City, its suburbs and the Pune

Cantonment area. The following three pie diagrams show their respective preferences for

living in City, Suburb and cantonment.

City

CitySuburbCantonment

Suburb

CitySuburbCantonment

Cantonment

CitySuburbCantonment

Questions:

1. Do you see similar preference distribution in the three groups of residents? (5)

2. Which residents are most happy about where they are actually living? (5)

3. Which residents are the least happy about where they are actually living? (5)

2. Description Suppose you are doing market research for a company that sells automotive accessories.

You are interested in the types of cars driven by customers of a particular mall. On one

particular day, you count the following types of cars in the lot:

------------------------------------------------------------------------------------------------------ Family car Economy car Economy car Utility van Family car Wagon Wagon Wagon Sports car Economy car Utility van Family car Pickup truck Utility van Sports car Utility van Wagon Wagon Wagon Family car Pickup truck Utility van Sports car Utility van Economy car Economy car Utility van Sports car Utility van Sports car -----------------------------------------------------------------------------------------------------

Questions:

1. Prepare appropriate frequency distribution (5)

2. Represent above data by suitable graph (5)

3. Description: In a series of four one day cricket matches, Sachin and Sourav Scored as follows: Sachin: 99 116 95 110

Sourav: 110 145* 40 20

* : not out

Question: If you have to select the ‘Man of the Series’ out of these two only whom

will you select? Why? (10)

4. Description Following are the data on height of father (X) and height of son (Y)

X (in cms) 165 166 167 167 168 169 170 172

Y (in cms) 167 168 165 168 172 172 169 171

Questions (a) Plot these data and comment on the nature of relationship between the two

variables under consideration. (5)

(b) Find correlation between (X, Y). (5)

5. Using the data in Q. 4 above, find regression equation of height of son on father’s height. . (5)

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