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Test: Correlation And Regression- 6 - CA Foundation MCQ


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30 Questions MCQ Test Quantitative Aptitude for CA Foundation - Test: Correlation And Regression- 6

Test: Correlation And Regression- 6 for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation. The Test: Correlation And Regression- 6 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Correlation And Regression- 6 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Correlation And Regression- 6 below.
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Test: Correlation And Regression- 6 - Question 1

Correlation coefficient is dependent of the choice of both origin & the scale of observations

Test: Correlation And Regression- 6 - Question 2

Given below the information about the capital employed and profit earned by a company over the last twenty five years:

Correlation coefficient between capital and profit =0.92. The sum of the regression coefficient for the above data would be:

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Test: Correlation And Regression- 6 - Question 3

Given the following data:

Coefficient of correlation = 0.6
What is the most likely value of y when x = 90?

Test: Correlation And Regression- 6 - Question 4

If high values of one tend to low values of the other, they are said to be

Test: Correlation And Regression- 6 - Question 5

___________ is concerned with the measurement of the “strength of association” between variables.

Test: Correlation And Regression- 6 - Question 6

The two lines of regression are given by 
8x+10y=25 and 16x+5y=12 respectively
If the variance of x is 25, what is the standard deviation of y?

Test: Correlation And Regression- 6 - Question 7

The regression equation of y on x for the following data:

Is given by

Test: Correlation And Regression- 6 - Question 8

The two regression coefficients for the following data:

are

Test: Correlation And Regression- 6 - Question 9

The coefficient of correlation between cost of advertisement and sales of a product on the basis of the following data:

is:

Test: Correlation And Regression- 6 - Question 10

 _________ gives the mathematical relationship of the variables.

Test: Correlation And Regression- 6 - Question 11

What is the coefficient of concurrent deviations for the following data:

Test: Correlation And Regression- 6 - Question 12

 If y=3x+4 is the regression line of y on x and the arithmetic mean of x is -1, what is the arithmetic mean of y?

Test: Correlation And Regression- 6 - Question 13

Given that for twenty pairs of observations, ?xu=525, ?x=129, ?u=97, ?x2=687, ?u2=427 and y=10-3u, the coefficient of correlation between x and y is 

Test: Correlation And Regression- 6 - Question 14

What is the coefficient of correlation between the ages of husbands and wives from the following data?

Test: Correlation And Regression- 6 - Question 15

The following results relate to bivariate date on (x, y):
Σxy=414, ∑x=120, ∑y=90, ∑x2=600, ∑y2=300, n=30. Later or, it was known that two pairs of observations (12, 11) and (6, 8) were wrongly taken, the correct pairs of observations being (10,9) and (8, 10). The corrected value of the correlation coefficient is

Test: Correlation And Regression- 6 - Question 16

What is the value of Rank correlation coefficient between the following marks in physics and Chemistry:

Test: Correlation And Regression- 6 - Question 17

Eight contestants in a musical contest were ranked by two judges A and B in the following manner:

The rank correlation coefficient

Test: Correlation And Regression- 6 - Question 18

The following table provides the distribution of items according to size groups and also the number of defectives:

The correlation coefficient between size and defectives is

Test: Correlation And Regression- 6 - Question 19

If u = 2x+5 and v=-3y-6 and regression coefficient of y on x is 2.4, what is the regression coefficient of v on u?

Test: Correlation And Regression- 6 - Question 20

 What is the coefficient of correlation from the following data?

Test: Correlation And Regression- 6 - Question 21

Following are the marks of 10 students in Botany and Zoology:

The coefficient of rank correlation between marks in Botany and Zoology is

Test: Correlation And Regression- 6 - Question 22

 If 4y-5x=15 is the regression line of y on x and the coefficient of correlation between x and y is 0.75, what is the value of the regression coefficient of x on y?

Test: Correlation And Regression- 6 - Question 23

For two variables x and y, it is known that cov (x, y)=80, variance of x is 16 and sum of squares of deviation of y from its mean is 250. The number of observations for this bivariate data is 

Detailed Solution for Test: Correlation And Regression- 6 - Question 23

ANSWER :- d

Solution :- Covariance between  X  and  Y  is:  C(X,Y)=80 

Variance of  X  is:  V(X)=16 

Variance of  Y  is:  V(Y)=E(Y−E(Y))^2=250/n 

The Coefficient of correlation between  X  and  Y  is:

ρ(X,Y)=C(X,Y)/[√V(X)√V(Y)

= 80/√16*√250/n

=80√n/(√16*√250)

=√=80n/20*√10)

=4√n/10

Check that  4√n10 > 1  ∀n∈N,but the coefficient of correlation must always be less than or equal to 1.

Test: Correlation And Regression- 6 - Question 24

The coefficient of correlation between x and y where

is:

Test: Correlation And Regression- 6 - Question 25

 f(x) = x2/ethen f’(1) is equal to _________.

Test: Correlation And Regression- 6 - Question 26

If f(x) = xk and f’(1) = 10 the value of k is

Test: Correlation And Regression- 6 - Question 27

If f(x) = then the values of x for which f’(x) = 0 is

Test: Correlation And Regression- 6 - Question 28

If  y= then y y1 (where y= dy/dx) is equal to

Test: Correlation And Regression- 6 - Question 29

If y = e+ e-x then  is equal to

Test: Correlation And Regression- 6 - Question 30

Given f(x) = 4x+ 3x- 2x + 5 and  is

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