JEE Questions for Maths Statistics Quiz 7 - MCQExams.com

Karl Pearson\'s coefficient of rank correlation between the ranks obtained by ten students in Mathematics and Chemistry in a class test as given below is
Rank in Mathematics 1 2 3 4 5 6 7 8 9 10
Rank in Chemistry 3 10 5 1 2 9 4 8 7 6
  • 0.224
  • 0.204
  • 0.240
  • None of these
The coefficients of correlation between the heights (in inches) of fathers and sons from the following data will be
Heights of fathers (x) 65 66 67 68 69 70 71
Heights of sons (y) 67 68 66 69 72 72 69
  • 0.60
  • – 0.60
  • – 0.67
  • 0.67

Maths-Statistics-51009.png
  • 0
  • 1/2
  • 1/4
  • 1
For the following pairs of observations (1, 10), (2, 9), (3, 9), (4, 8), (5, 6), (6, 12), (7, 4), (8, 3), (9, 13), (10, 1), then Cov (x, y) =
  • 1.05
  • 2.45
  • – 4.45
  • – 4.9

Maths-Statistics-51012.png
  • 1
  • 0
  • –1
  • None of these
If the variances of two variables x and y are respectively 9 and 16 and their covariance is 8, then their coefficient of correlation is

  • Maths-Statistics-51014.png
  • 2)
    Maths-Statistics-51015.png

  • Maths-Statistics-51016.png

  • Maths-Statistics-51017.png

Maths-Statistics-51019.png

  • Maths-Statistics-51020.png
  • 2)
    Maths-Statistics-51021.png

  • Maths-Statistics-51022.png
  • None of these
In a scatter diagram, the points are scattered equally in a corners of a quadrants, then
  • r = 1
  • r = –1
  • r = 0

  • Maths-Statistics-51023.png
The points of scatter diagram in perfect positive correlation are situated at the line
  • y = – x
  • y = x
  • y = 2x
  • y = – 2x
If r = 0.2, then linear correlation will be necessarily
  • Perfect
  • Negative
  • Very low
  • Very high
If r = – 0.97, then
  • Correlation is negative and curved
  • Correlation is linear and negative
  • Correlation is in third and fourth quadrant
  • None of the above
If correlation between x and y is r, then between y and x correlation will be
  • –r
  • 1/r
  • r
  • 1– r
The variables x and y represent height in cm and weight in gm respectively. The correlation between x and y has the unit
  • gm
  • cm
  • gm. cm
  • None of these
The coefficient of correlation for the following will be approximately
Maths-Statistics-51024.png
  • 0.90
  • 0.96
  • – 0.90
  • – 0.96
If
x 3 4 8 6 2 1
Y 5 3 9 6 9 2
then the coefficient of correlation will be approximately
  • 0.49
  • 0.40
  • – 0.49
  • – 0.40
For the following data
x 10 7 12 12 9 16 12
y 6 4 7 8 10 7 10
the value of r will be
  • 0.207
  • – 0.207
  • 0.287
  • – 0.287
For the data
x 4 7 8 3 4
y 5 8 6 3 5

the Karl Pearson\'s coefficient is

  • Maths-Statistics-51028.png
  • 63

  • Maths-Statistics-51029.png

  • Maths-Statistics-51030.png
If X and Y are independent variable, then correlation coefficient is
  • 1
  • –1

  • Maths-Statistics-51032.png
  • 0
If the coefficient of correlation is positive, then for the values of the variables x,y when the value of x increases perfectly, then
  • The value of y increases
  • The value of y decreases
  • The value of y remains constant
  • Nothing can be said
Two numbers within the bracket denote the ranks of 10 students of a class in two subject : (1, 10), (2, 9), (3, 8), (4, 7), (5, 6), (6, 5), (7, 4), (8, 3), (9, 2), (10, 1), then rank correlation coefficient is
  • 0
  • –1
  • 1
  • 0.5
The value of the correlation coefficient between two variables lies between
  • 0 and 1
  • –1 and 1
  • 0 and ∞
  • –∞ and 0

Maths-Statistics-51034.png
  • 2
  • 5
  • 8
  • None of these
Which of the following statements is correct?
  • Correlation coefficient is the arithmetic mean of the regression coefficients
  • Correlation coefficients is the geometric mean of the regression coefficients
  • Correlation coefficients is the harmonic mean of the regression coefficients
  • None of the above
If correlation coefficient is negative, then the regression coefficient is
  • Zero
  • One
  • Negative
  • Positive
If correlation coefficient be zero, then the lines of regression will be
  • Parallel to axes
  • Perpendicular to axes
  • Inclined at any angle with axes
  • Coincident

Maths-Statistics-51038.png
  • – 0.5
  • 0.5
  • 1.0
  • – 1.0
If one regression coefficient be unity, then the other will be
  • Greater than unity
  • Greater than or equal to unity
  • Less than or equal to unity
  • None of the above
The coefficient of correlation between two variables x and y is 0.8 while the regression coefficient of y on x is 0.2. Then the regression coefficient of x on y is
  • – 3.2
  • 3.2
  • 4
  • 0.16
If the lines of regression coincide, then the value of correlation coefficient is
  • 0
  • 1
  • 0.5
  • 0.33
If both the regression lines intersect perpendicularly, then
  • r < –1
  • r = –1
  • r = 0
  • r = 1/2
0:0:1


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