ignment-4a.pdf 4.4 It is well known that similarity in attitudes, beliefs, and i
ID: 3327461 • Letter: I
Question
ignment-4a.pdf 4.4 It is well known that similarity in attitudes, beliefs, and interests plays an important role in interpersonal attraction (see Byne, 1971, for example). Thus, correlations for attitudes between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate that the person has liberal attitudes whereas high scores indicate conservatism. The following hypothetical data are scores for married couples. Husband 14 18 4. 15 10Explanation / Answer
calculation procedure for correlation
sum of (x) = x = 58
sum of (y) = y = 67
sum of (x^2)= x^2 = 632
sum of (y^2)= y^2 = 699
sum of (x*y)= x*y = 641
to caluclate value of r( x,y) = covariance ( x,y ) / sd (x) * sd (y)
covariance ( x,y ) = [ x*y - N *(x/N) * (y/N) ]/n-1
= 641 - [ 8 * (58/8) * (67/8) ]/8- 1
= 19.4063
and now to calculate r( x,y) = 19.4063/ (SQRT(1/8*641-(1/8*58)^2) ) * ( SQRT(1/8*641-(1/8*67)^2)
=19.4063 / (5.1417*4.1514)
=0.9091
value of correlation is =0.9091
coeffcient of determination = r^2 = 0.8265
properties of correlation
1. If r = 1 Corrlation is called Perfect Positive Corrlelation
2. If r = -1 Correlation is called Perfect Negative Correlation
3. If r = 0 Correlation is called Zero Correlation
& with above we conclude that correlation ( r ) is = 0.9092> 0 ,perfect positive correlation
[ANSWERS]
a. value of correlation is =0.9091, hence releation exists
b. r>0, which is positive
c. since r = 0.9091 > 0.50, we could derive such as strong positive releation b/w them
( X) ( Y) X^2 Y^2 X*Y 11 14 121 196 154 6 7 36 49 42 18 15 324 225 270 4 7 16 49 28 1 3 1 9 3 10 9 100 81 90 5 9 25 81 45 3 3 9 9 9Related Questions
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