(a) Following are the % figures of expenditure on clothing (in Rs. 100's) and entertainment (in Rs. 100's) by an average working-class family. Compute Speamen's Rank Correlation Coefficient and comment on the result. Year 2001 02 03 04 05 06 07 08 09 10 Exp. on clothing 24 31 32 20 25 3 30 22 28 Exp. on entertainment: H 13 6.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
 alt="Q. 4
(a) Following are the % figures of expenditure on clothing (in Rs. 100's) and entertainment (in Rs.
100's) by an average working class family. Compute Spearmen's Rank Correlation Coefficient and
comment on the result.
Year
2001 02
03
04
05
06
07
08
09
10
Exp. on elothing:
24
27
31
32
20
25
33
30
28
22
Exp. on entertainment: 1
13
(hị From thë following data about five commodities, calculate (a) sinmple average of price relatives
index, and (b) simple average of quantity relatives for 2012.
Commodity
Price 2011 Price2012
Quantity 2011
150
48
Quantity 2012
T05
30
160
166
Enit
Meter
160
200
50
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