MCQs of Basic Statistics (Probability and Statistics - 3130006)

Probability and Statistics (3130006) MCQs

MCQs of Basic Statistics

Showing 21 to 30 out of 50 Questions

21.

Compute correlation coefficient for the following data :

x	4	5	9	14	18	22	24
y	16	22	11	16	7	3	17

(a)	0.5255
(b)	5.2255
(c)	-0.2522
(d)	-0.5255

22.

If one regression coefficient is greater than one then other will be _____________ .

(a)	More than one
(b)	Equal to one
(c)	less than one
(d)	Equal to minus 1

23.

The mean of $x$ is 20 and mean of $y$ is 45. The regression coefficient $y$ on $x$ is 4 and that of $x$ on $y$ is $\frac{1}{9}$ . Find the regression line $x$ on $y$ .

(a)	$y = 4 x - 35$
(b)	$x = 91 y + 15$
(c)	$y = 91 x + 15$
(d)	$x = 4 y - 35$

24.

Find the first four moment about origin for the data :1, 3, 5,7.

(a)	$μ_{1} = 4, μ_{2} = 21, μ_{3} = 124, μ_{4} = 777$
(b)	$μ_{1} = 0, μ_{2} = 12, μ_{3} = 142, μ_{4} = 177$
(c)	$μ_{1} = 4, μ_{2} = 21, μ_{3} = 424, μ_{4} = 777$
(d)	$μ_{1} = 4, μ_{2} = 21, μ_{3} = 124, μ_{4} = 771$

25.

For estimating the value of x __________ is used.

(a)	Regression equation of y on x
(b)	Regression equation of x on y
(c)	Both
(d)	None of these

26.

Which of the following can not be the value of correlation coefficient ?

(a)	$r = 1.99$
(b)	$r = 0$
(c)	$r = - 0.73$
(d)	$r = - 1$

27.

Which of the following indicates a strong negative correlation ?

(a)	$r = 0.54$
(b)	$r = 0.982$
(c)	$r = - 0.793$
(d)	$r = - 0.856$

28.

Which of the following indicates a negative correlation of lower degree ?

(a)	$r = - 0.23$
(b)	$r = - 0.12$
(c)	$r = - 0.08$
(d)	$r = - 0.7$

29.

Correlation coefficient is useful to study ____________ .

(a)	Relationship between any two attributes.
(b)	Relationship between any two variables.
(c)	Relationship of more than two variables.
(d)	None of these.

30.

If the regression coefficient of x on y and yon x are -0.6 and -0.6 respectively then correlation coefficient between xand y is ____________ .

(a)	$r = 0.6$
(b)	$r = 3.6$
(c)	$r = - 0.6$
(d)	$r = 0.36$

Showing 21 to 30 out of 50 Questions