Q1.

Find product moment correlation coefficient between x and y, if cov(x,y) = 16.5,    var(x) = 2.89,  standard deviation of y = 10.

  • 0.97

  • -0.87

  • -0.63

  • 0.56

Solution:

NA

Q2.

If bxy = 0.4,   yyx = 1.6, find the coefficient of non-determination

  • 0.64

  • 0.36

  • 0.89

  • 0.54

Solution:

NA

Q3.

If the sum of squares of the rank differences in statistics and mathematics marks of 10 students is 22, then the coefficient of spearman rank correlation is 

  • 0.54

  • o.87

  • 0.81

  • 0.36

Solution:

NA

Q4.

Two random variable have the regression lines 3x + 2y - 26 = 0 and 6x + y - 31 = 0, find the Karl Pearson correlation coefficient

  • 0.76

  • -0.35

  • 0.65

  • -0.5

Solution:

NA

Q5.

If rxy = 0.84, find ruv = 

if u = (x - 6)/4,   v = (y + 5)/9

  • 0.84

  • -0.84

  • 0.76

  • -0.76

Solution:

NA

Q6.

For 10 pair of observations, number of concurrent deviations was found to be 4. What is the value of the coefficient of concurrent deviation.

  • 1/3

  • -1/3

  • 1/2

  • -1/2

Solution:

NA

Q7.

The regression lines are 5x + 10y - 145 = 0,    14y + 8x - 208 = 0, find the mean of x and y.

  • 3,  4

  • 6,  8

  • 9,   9

  • 5,   12

Solution:

NA

Q8.

If coefficient of correlation between x and y is 0.74. Find the coefficient of correlation between -x and -y/4.

  • 0.74

  • 0.86

  • -0.74

  • 0/65

Solution:

NA

Q9.

The two regression equations are :

2x + 3y + 18 = 0

x + 2y - 25 = 0,

If x is equal to 5 find the value of y.

  • 10

  • 20

  • 30

  • 40

Solution:

NA

Q10.

If the correlation coefficient between x and y if k, then find ruv , if u =(x-6)/8,  v = (y+3)/9

  • 1

  • k

  • -k

  • 0.8

Solution:

NA

Q11.

If cov(x,y) >0, then r will be

  • positive

  • negative

  • both 

  • can't say

Solution:

NA

Q12.

Which statement is true for regression coefficient 

  • Independent of change of origin but not of scale

  • dependent of change of scale and of origin

  • independent of change of scale and of origin

  • dependent of change of origin but not of scale

Solution:

NA

Q13.

The coefficient of correlation between two variables x and y is the simple _____________ of the two regression coefficients.

  • A.M.

  • G.M.

  • H.M.

  • None of these

Solution:

NA

Q14.

If 2 varables are uncorrelated, their regression lines are 

  • parallel

  • coincident

  • perpendicular

  • none

Solution:

NA

Q15.

The two lines of regression become identical when 

  • r = 1 or r = -1

  • r = 0

  • r = 1

  • NONE

Solution:

NA

Q16.

If r = 0.8, then the coefficient of determination is 

  • 0.36

  • 0.64

  • 0.8

  • 0.4

Solution:

NA

Q17.

Which statement is true

  • Karl Pearson method for quatitative type data

  • Spearman Rank method for qualitative type data

  • Concurrent method is the quickest method to find correlation coefficient

  • All of the above

Solution:

NA

Q18.

If r xy = 0.72, find ruv

if  3u + 2x + 5 = 0,   4v - 8y + 7 = 0

  • 0.72

  • -0.72

  • 0.8

  • -0.32

Solution:

NA

Q19.

The rank correlation coefficient between two variables is 0.5. Sum of the squares of the difference in rank is 82.5, find the number of paired observations.

  • 12

  • 11

  • 10

  • 13

Solution:

NA

Q20.

The given equations are regression equations or not 

2x + 4y + 9 = 0,    -3x + 3y + 14 = 0 

  • Yes

  • No

  • Can't Say

  • None of these

Solution:

NA

Q21.

Regression coefficient x on y is 3/2,  correlation coefficient is 9/10, standard deviation of x is 5 find the variance of y.

  • 9

  • 16

  • 3

  • 8

Solution:

NA

Q22.

The regression equation of y on x is 8x - 10y + 30 = 0,   standard deviationof x  is 3, find cov(x,y).

  • 6

  • 9

  • 7.2

  • 4.5

Solution:

NA