Find the correlation coefficient r(x,y) if :
`n = 10 ,sumx=60, sumy=60 , sumx^2=400 ,sumy^2=580,sumxy=305`.

Find the two equation of regression line for the given data: n=102, sumx=510, sumy=7140, sumx^(2)=4150, sumy^(2)=740200, sumxy=54900 Also estimate the value of y when x = 7.

Find the Spearmen 's rank correlation coeffcient ,given : n = 10, sum |d_x -d_y| ^(2) = 30

Find the regression coefficient of x on y from the following data: sumx=15, sumy=15, sumy^(2)=49, sumxy=44, n=5 , Also find the value of x when y = 7.

Find the coefficient of x^4 in (1 + x + x^2)^10

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.

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

Find the coefficient of 1/y^2 in (y+ c^3/y^2)^10

The following results were obtained with respect to two variable x and y: sumx = 30, sum y = 42, sumxy = 199, sumx^(2) = 184, sumy^(2) = 318, n=6 . Find the following: (i) The regression coefficients. (ii) Correlation coefficient between x and y. (iii) Regression equation of y on x. (iv) The likely value of y when x = 10.

Find correlation coefficient when, Sigma x_(i) = 40, Sigma y_(i)= 55, Sigma x_(i)^(2) = 192, Sigmay_(i)^(2)=385, Sigma(x_(i)+y_(i))^(2)=947 and n = 10.

Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)