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Test: Correlation And Regression- 7

40 Questions MCQ Test Quantitative Aptitude for CA CPT | Test: Correlation And Regression- 7

Description

Attempt Test: Correlation And Regression- 7 | 40 questions in 40 minutes | Mock test for CA Foundation preparation | Free important questions MCQ to study Quantitative Aptitude for CA CPT for CA Foundation Exam | Download free PDF with solutions

QUESTION: 1

Since Blood Pressure of a person depends on age, we need consider

A.
The regression equation of Blood Pressure on age
B.
The regression equation of age on Blood Pressure
C.
Both (a) and (b)
D.
Either (a) or (b)

Solution:

QUESTION: 2

If for two variable x and y, the covariance, variance of x and variance of y are 40, 16 and 256 respectively, what is the value of the correlation coefficient?

A.
0.01
B.
0.625
C.
0.4
D.
0.5

Solution:

QUESTION: 3

The difference between the observed value and estimated value in regression analysis is known as

A.
Error
B.
Residue
C.
Deviation
D.
(a) or (b)

Solution:

QUESTION: 4

The method applied for deriving the regression equations is known as

A.
Least squares
B.
Concurrent deviation
C.
Product moment
D.
Normal equation

Solution:

QUESTION: 5

The errors in case of regression equation are

A.
Positive
B.
Negative
C.
Zero
D.
All these

Solution:

QUESTION: 6

If the relationship between two variables x and y in given by 2x+3y+4=0, then the value of the correlation coefficient between x and y is

A.
0
B.
1
C.
-1
D.
Negative

Solution:

QUESTION: 7

Product moment correlation coefficient may be defined as the ratio of

A.
The product of standard deviations of the two variables to the covariance between them
B.
The covariance between the variables to the product of the variances of them
C.
The covariance between the variables to the product of their standard deviations
D.
Either (b) or (c)

Solution:

QUESTION: 8

When r = 1, all the points in a scatter diagram would lie

A.
On a straight line directed from lower left to upper right
B.
On a straight line directed from upper left to upper right
C.
On a straight line
D.
Both (a) and (b)

Solution:

QUESTION: 9

What is the quickest method to find correlation between two variables?

A.
Scatter diagram
B.
Method of concurrent deviation
C.
Method of rank correlation
D.
Method of product moment correlation

Solution:

QUESTION: 10

If the value of correlation coefficient is positive, then the points in a scatter diagram tend to cluster

A.
From lower left corner to upper right corner
B.
From lower left corner to lower right corner
C.
From lower right corner to upper right corner
D.
From lower right corner to lower right corner

Solution:

QUESTION: 11

If there is a perfect disagreement between the marks in Geography and Statistic, then what would be the value of rank correlation coefficient?

A.
Any value
B.
Only 1
C.
Only -1
D.
(b) or (c)

Solution:

QUESTION: 12

The coefficient of correlation between two variables

A.
Can have any unit
B.
Is expressed as the product of units of the two variables
C.
Is a unit free measure
D.
None of these

Solution:

QUESTION: 13

For finding correlation between two attributes, we consider

A.
Pearson
B.
Scatter diagram
C.
Spearman
D.
Coefficient of concurrent deviations

Solution:

QUESTION: 14

In case the correlation coefficient between two variables is 1, the relationship between the two variables would be

A.
y=a + bx
B.
y = a+bx, b>0
C.
y = a + bx, b<0
D.
y = a+bx, both a and b being positive

Solution:

QUESTION: 15

For finding the degree of agreement about beauty between two judges in a Beauty Contest, we use

A.
Scatter diagram
B.
Coefficient of rank correlation
C.
Coefficient of correlation
D.
Coefficient of concurrent deviation.

Solution:

QUESTION: 16

When we are not concerned with the magnitude of the two variables under discussion, we consider

A.
Rank correlation coefficient
B.
Product moment correlation coefficient
C.
Coefficient of concurrent deviation
D.
(a) Or (b) but not (c)

Solution:

QUESTION: 17

The covariance between two variables is

A.
Strictly positive
B.
Strictly negative
C.
Always 0
D.
Either positive or negative or zero

Solution:

QUESTION: 18

What are the limits of the correlation coefficient?

A.
No limit
B.
-1 and 1
C.
0 and 1, including the limits
D.
-1 and 1, including the limits

Solution:

Limit: Coefficient values can range from +1 to -1, where +1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and a 0 indicates no relationship exists.. Pure number: It is independent of the unit of measurement.

QUESTION: 19

What are the limits of the coefficient of concurrent deviation?

A.
No limit
B.
Between -1 and 0, including the limiting values
C.
Between 0 and 1, including the limiting values
D.
Between -1 and 1, the limiting values inclusive

Solution:

QUESTION: 20

Product moment correlation coefficient is considered for

A.
Finding the nature of correlation
B.
Finding the amount of correlation
C.
Both (a) and (b)
D.
Either (a) and (b)

Solution:

QUESTION: 21

What is spurious correlation?

A.
It is a bad relation between two variables
B.
It is very low correlation between two variables
C.
It is the correlation between two variables having no causal relation
D.
It is a negative correlation

Solution:

QUESTION: 22

Scatter diagram is considered for measuring

A.
Linear relationship between two variables
B.
Curvilinear relationship between two variables
C.
Neither (a) nor (b)
D.
Both (a) and (b)

Solution:

QUESTION: 23

The correlation between the speed of an automobile and the distance travelled by it after applying the brakes is

A.
Negative
B.
Zero
C.
Positive
D.
None of these.

Solution:

ANSWER :- a

Solution :- Initially the acceleration will be negative then finally the speed and distance will become 0.

QUESTION: 24

Regression analysis is concerned with

A.
Establishing a mathematical relationship between two variables
B.
Measuring the extent of association between two variables
C.
Predicting the value of the dependent variable for a given value of the independent variable
D.
Both (a) and (c)

Solution:

QUESTION: 25

Correlation analysis aims at

A.
Predicting one variable for a given value of the other variable
B.
Establishing relation between two variables
C.
Measuring the extent of relation between two variables
D.
Both (b) and (c)

Solution:

QUESTION: 26

For a bivariate frequency table having (p+q) classification the total number of cells is

A.
p
B.
p+q
C.
q
D.
pq

Solution:

QUESTION: 27

If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is

A.
Positive
B.
Zero
C.
Negative
D.
None of these

Solution:

QUESTION: 28

The correlation between shoe-size and intelligence is

A.
Zero
B.
Positive
C.
Negative
D.
None of these

Solution:

QUESTION: 29

Some of the cell frequencies in a bivariate frequency table may be

A.
Negative
B.
Zero
C.
a or b
D.
None of these

Solution:

QUESTION: 30

For a p x q bivariate frequency table, the maximum number of marginal distributions is

A.
p
B.
p+q
C.
1
D.
2

Solution:

QUESTION: 31

Bivariate Data are the data collected for

A.
Two variables
B.
More than two variables
C.
Two variables at the same point of time
D.
Two variables at different points of time

Solution:

QUESTION: 32

Scatter diagram helps us to

A.
Find the nature correlation between two variables
B.
Compute the extent of correlation between two variables
C.
Obtain the mathematical relationship between two variables
D.
Both (a) and (c)

Solution:

QUESTION: 33

If all the plotted points in a scatter diagram lie on a single line, then the correlation is

A.
Perfect positive
B.
Perfect negative
C.
Both (a) or (b)
D.
Either (a) or (b)

Solution:

QUESTION: 34

For a p x q classification of bivariate data, the maximum number of conditional distributions is

A.
p
B.
p+q
C.
pq
D.
p or q

Solution:

QUESTION: 35

If the plotted points in a scatter diagram are evenly distributed, then the correlation is

A.
Zero
B.
Negative
C.
Positive
D.
(a) or (b)

Solution:

QUESTION: 36

If the lines of regression in a bivariate distribution are given by x+2y=5 and 2x+3y=8, then the coefficient of correlation is:

A.
0.866
B.
-0.666
C.
0.667
D.
-0.866

Solution:

QUESTION: 37

If the correlation coefficient between two variables is 1, then the two lines of regressions are:

A.
Parallel
B.
At right angles
C.
Coincident
D.
None of these

Solution:

QUESTION: 38

If the covariance between two variables is 20 and the variance of one of the variables is 16, what would be the variance of the variables is 16, what would be the variance of the other variable?