EASY
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When the origin is changed, then the coefficient of correlation

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Important Questions on Statistics

EASY

Find the coefficient of correlation from the following data: 

x 2 3 5 7 3
y 15 17 4 5 4
MEDIUM
If scatter diagram from a line move from lower left to upper right corner then the correlation is______.
MEDIUM
If the equation of the two regression lines are 2x-3y=0 and 4y-5x=8 then the correlation coefficient between x and y is equal to______.
MEDIUM
If Y=9X and X=0.01Y, then r is equal to:
MEDIUM
Consider to regression line 3x+2y=26, 6x+y=31. Find the correlation coefficient between x and y:
EASY
If the correlation coefficient between x and y is 0.5 then Find the correlation coefficient between 2x-3 and 3-5y is:
MEDIUM

Find correlation coefficient:

X 5 4 3 2 1
Y 1 2 3 4 5
EASY
Prove that : Value of correlation coefficient r lies between -1 to +1.
EASY
Find the coefficient of correlation from the regression lines:  x-2y+3=0 and 4x-5y+1=0.
MEDIUM
Find the covariance of the data given below :(1,5), (2,7), (3, 9), (4, 11), (5, 10), (6, 9), (7, 8), (8, 7), (9. 6), (10, 5)
MEDIUM

Calculate the covariance of observations (3, 5), 6, 7, (9, 9), (12, 11) (15,13), (18, 15), (21, 17), (24, 19), using assumed means A=13 and B =12.

EASY
______ measures the degree of relationship between two variables.
HARD

Calculate the covariance of the following bivariate data :

X 48 5 6 7 8 9 10 11 12 13 14 15
Y 78 72 66 60 54 48 42 36 30 24 18 12

 

HARD

Calculate covariance for the following data :

X 1 2 3 4 6 7 8 9
Y 16 9 4 1 1 4 9 16

 

EASY
The correlation coefficient of two variable x and y is 0.8. The regression coefficient of y on x is 0.2, then the regression coefficient of x on y is
EASY
The correlation coefficient lies in the interval
EASY
 Rank correlation is useful to study data in ______ scale.