Consider the following statements : If the correlation coefficien

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 Multiple Choice QuestionsMultiple Choice Questions

11.

For f to be a function, what is the domain of f, if fx = 1x - x ?

  •  - , 0

  • 0, 

  •  - , 

  •  - , 0


12.

If f(x) is an even function, where f{x)  0, then which one of the following is correct ?

  • f'(x) is an even function

  • f'(x) is an odd function

  • f'(x) may be an even or odd function depending on the type of function

  • f'(x) is a constant function


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13.

Consider the following statements :

  1. If the correlation coefficient rxy = 0, then the two lines of regression are parallel to each other.
  2. If the correlation coefficient rxy = + 1, then the two lines of regression are perpendicular to each other. Which of the above statements is/are correct

  • 1 only

  • 2 only

  • Both 1 and 2

  • Neither 1 nor 2


D.

Neither 1 nor 2

We  know  r = bxybyx, and  Angle between  two regression linestanθ = 1 - r2σxσyrσx2 × σy2a if r = 0, θ = π2,

The two regression lines are perpendicular to eachother. Actually, they are parallel to the axes, regression line of y on x is parallel to the x-axis and of x on y is parallel to y-axis.

b If r = 1 or - 1, θ = 0

So the regression line coincide

Option D is correct.


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14.

If 4x - 5y + 33 = 0 and 20x - 9y = 107 are two lines of regression, then what are the values of x and y respectively

  • 12 and 18

  • 18 and 12

  • 13 and 17

  • 17 and 13


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15.

Consider the following expressions :

1. x + x2 - 1x2. ax2 + bx + x - c + dx - ex23. 3x2 - 5x +ab4. 2x2 - ax + b35. 1x - 2x+ 5Which of the above are rational expression ?

  • 1, 4 and 5 only

  • 1, 3, 4 and 5 only

  • 2, 4 and 5 only

  • 1 and 2 only


16.

What is the value of log927 + log832 ?

  • 72

  • 196

  • 4

  • 7


17.

The sum of the binary numbers (11011)2, (10110110), and (10011x0y)2, is the binary number (101101101)2. What are the values of x and y ?

  • x = 1, y = 1

  • x = 1, y = 0

  • x = 0, y = 1

  • x = 0, y = 0


18.

If (0.2)x = 2 and log10(2) = 0.3010, then what is the value of x to the nearest tenth ?

  •  - 10.0

  •  - 0.5

  • - 0.4

  • - 0.2


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19.

If fx = x - 1x - 4 defines a function on R, then what is its domain ?

  •  - , 4  4, 

  • [4, )

  •  1, 4  4, 

  • 1, 4)  (4, 


20.

For the function f(x) = x - 3, which one of the following is not correct ?

  • The function is not continuous at x = - 3

  • The function is continuous at x = 3

  • The function is differentiable at x = 0

  • The function is differentiable at x = - 3


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