Calculate the coefficient of correlation between two variables x and y for 12 pairs of observation, the following data was obtained. `Sigmax=20,Sigmay=6,Sigmax^(2)=650,Sigmay^(2)=280,Sigmaxy=330`
On rechecking, it was found that one pair `(12,8)` was wrongly copied while the correct pair being `(9,13)`. find the correct value of coefficient of correlation.

While calculating correlation coefficient between two variables x and y for 30 pairs of observation, the students observed the following results: Sigmax=135,Sigmax^(2)=680,Sigmay=110,Sigmay^(2)=485andSigmaxy=530 On rechecking, it was found that he had wrongly copied one pir as (5,8) whereas value is (7,9) calculate the correct correlation coefficient between x and y.

Calculate Kari Pearson's coefficient of correlation between the values of x and y for the following data : n = 10, sum x = 55, sum y = 40, sum x^(2) = 385, sum y^(2) = 192 and sum (x + y)^(2) = 947

In an experiment with 9 observation on x , the following results are available Sigmax^(2)=360 and Sigma x=34 . One observation that was 8, was found to be wrong and was replaced by the correct value 10, then the corrected variance is

If for 5 observations of pairs (x,y), Sigmax=15,Sigmay=25,Sigmay^(2)=135 and Sigmaxy=83 , then the value of b_(xy) is

If for 25 observations of pairs (x,y), Sigmax=200,Sigmay=150,Sigmax^(2)=3000 and Sigmaxy=1500 then the equation of line of regression of y on x is

In an experiment with 10 observations on x the following results are available Sigmax^(2)=354 and Sigma x=58 . If one observation 8 that was found to be wrong and was replaced by the corrected value 10, then the corrected variance is

A computer while calculating the correlation coefficient between the variables x and y obtained the following results : n=25,sumx_(i)=125,sumy_(i)=100,sumx_(i)^(2)=650,sumy_(i)^(2)=460,sumx_(i)y_(i)=508 It was however later discovered at the time of checking that it has copied down two pairs of obervations as (6,14) and (8,6) where as values were (8,12) and (6,8) .Calculate the correct correlation coefficient of x and y.

The two lines of of regressions are x+2y-5=0 and 2x+3y-8=0 and the variance of x is 12. Find the variance of y and the coefficient of correlation.

Calculate Karl Pearson's coefficient of correlation between x and y for the following data and interpret the result: (1, 6), (2, 5), (3, 7), (4, 9), (5, 8), (6, 10), (7, 11), (8, 13), (9, 12).

The two lines of regression are x+ 2y- 5= 0 and 2x + 3y - 8=0 and the variance of x is 12. Find the variance of y and the coefficient of correlation.