For two variables x and y , it is known that the cov(x,y) = 80, the variance of x is 16 and the sum of squares of deviation of y from its mean is 250. The number of observations for this bivariate data is
a) 7 b) 8 c) 9 d) 10
Thanks in advance.
priya (Student) (64 Points)
26 May 2012For two variables x and y , it is known that the cov(x,y) = 80, the variance of x is 16 and the sum of squares of deviation of y from its mean is 250. The number of observations for this bivariate data is
a) 7 b) 8 c) 9 d) 10
Thanks in advance.
Tejaswi Kasturi
(student-cpt)
(427 Points)
Replied 26 May 2012
we will try to solve the problem by exploiting the fact that correlations is always less than or equal to 1
correlation = 80/((standard deviation of x)*(stadard deviation of y))
standard deviation of x = squareroot(16) = 4 standard deviation of y = squareroot (250/N) = 5(10/N)^0.5
so we get 80/(4*5*(10/N)^0.5) <1 implies 4 < (10/n)^0.5 implies 16 <10/N implies N<10/16 which is impossible. the figures do not make sense once again. even if they do we cannot find out N just with the help of covariance.
Tejaswi Kasturi
(student-cpt)
(427 Points)
Replied 26 May 2012
we don't know because we were given only covariance and variance of x we could calculate it if we had correlation
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