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1. Attempt any SIX parts: 6 i) What is PRIMARY DATA?
ii) What is TABULATION?
iii) Define MEAN.
iv) What is meant by SYMMETRY and SKEWNESS?
v) What is meant by REGRESSION? vi) What is MULTIPLE CORRELATION? vii) What is Principle of LEAST SQUARE? viii) Define INDEX NUMBER. ix) What is meant by DETRENDING?
n
b) Following information regarding the two sets of data. n= 150 Ó(x– 100) = 180, Ó(x– 100)^{2 }= 245320 ,
11 1
n= 200 Ó(x– 100) = 250, Ó(x– 100) ^{2 }= 43850 ,
22 2
i) Which of the distribution is more consistent? ii) Find Combined coefficient of variation.
s
)�p
Óp_{n}q_{n}
4. a)Provethatthesimpleaggregativevalueindex number _{(}satisfies the time reversal and the circular test but do not satisfy
Óp_{o}q_{o }
the factor Reversal test. 4 b) A textile worker in a certain city spends Rs. 350 per month. The cost of living index for a particular month is 136. Using the following data find the amount he spends on housing and clothing. 4
Item | Food | Clothin g | Housing | Fuel | M isc. |
E xpen diture | 140 | X | Y | 56 | 63 |
Inde x No. | 180 | 150 | 100 | 110 | 80 |
ÓX^{2 }-a_{o}ÓX -b_{o}ÓXY
W eek | Sun | M on | T ue | W ed | T hu | Fri | Sat |
---|---|---|---|---|---|---|---|
I | 24 | 55 | 29 | 48 | 52 | 55 | 61 |
II | 27 | 52 | 32 | 43 | 53 | 56 | 63 |
Year | Qu arters | ||||
---|---|---|---|---|---|
I | II | III | IV | ||
1961 | 122 | 125 | 118 | 117 | |
1962 | 119 | 114 | 114 | 109 | |
1963 | 105 | 99 | 93 | 89 | |
1964 | 86 | 80 | 83 | 84 |
X | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 | 4.0 |
---|---|---|---|---|---|---|---|
Y | 1.1 | 1.3 | 1.6 | 2.0 | 2.7 | 3.4 | 4.1 |
4
x.y
n -2 b) Fit a regression line of Y on X from the data 4
X | 3.2 | 2.7 | 4.5 | 1.0 | 2.0 | 1.7 | 0.6 | 1.9 |
---|---|---|---|---|---|---|---|---|
Y | 6.5 | 5.3 | 8.6 | 1.2 | 4.2 | 2.9 | 1.1 | 3.2 |
Also compute i) TOTAL VARIATION ii) EXPLAINED VARIATION iii) UNEXPLAINED VARIATION
8. a) Show that Correlation Coefficient always lies between -1 and +1.
b)CalculatetheMULTIPLECORRELATIONR1.23 andPARTIALCorrelation Coefficient ã12.3 from thedatagiven below: 4 b_{21 }= -0.1 b_{12 }= -0.4 b_{31 }= 0.27 b_{13 }= 0.6 b_{23 }= 0.38 b_{32 }= 0.67
*** B.A/B.Sc – I (09/A) xi ***
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last updated on 28-04-2019 |