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Test: Correlation And Regression- 1

40 Questions MCQ Test Quantitative Aptitude for CA CPT | Test: Correlation And Regression- 1

Description

Attempt Test: Correlation And Regression- 1 | 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

(Direction 1-40) Write the correct answers. Each question carries 1 mark.

Q. 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:

The primary purpose of bivariate data is to compare the two sets of data or to find a relationship between the two variables.

QUESTION: 2

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: 3

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

A.
Negative
B.
Zero
C.
a or b
D.
Non of these

Solution:

QUESTION: 4

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: 5

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: 6

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: 7

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: 8

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: 9

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: 10

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: 11

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: 12

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) and (b)
D.
Either (a) or (b).

Solution:

QUESTION: 13

The correlation between shoe-size and intelligence is

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

Solution:

QUESTION: 14

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

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

Solution:

The correct option is Option C.

When brakes are applied to a moving vehicle, the distance it travels before stopping is called stopping distance. It is an important factor for road safety and depends on the initial velocity (v0) and the braking capacity, or deceleration, -a that is caused by the braking.

QUESTION: 15

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: 16

Pearson’s correlation coefficient is used for finding

A.
Correlation for any type of relation
B.
Correlation for linear relation only
C.
Correlation for curvilinear relation only
D.
Both (b) and (c)

Solution:

QUESTION: 17

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: 18

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 left corner
D.
From lower right corner to upper right corner

Solution:

QUESTION: 19

A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called:

A.
Correlation
B.
Regression
C.
Residual
D.
Slope

Solution:

QUESTION: 20

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:

The correlation coefficient is defined as the covariance divided by the standard deviation of the variables. The following formula is used to calculate the Pearson r correlation:

QUESTION: 21

The covariance between two variables is

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

Solution:

QUESTION: 22

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: 23

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:

QUESTION: 24

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: 25

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: 26

For finding correlation between two attributes, we consider

A.
Pearson’s correlation coefficient
B.
Scatter diagram
C.
Spearman’s rank correlation coefficient
D.
Coefficient of concurrent deviations

Solution:

QUESTION: 27

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: 28

If there is a perfect disagreement between the marks in Geography and Statistics, 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: 29

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: 30

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: 31

What are the limits of the coefficient of concurrent deviations?

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: 32

If there are two variables x and y, then the number of regression equations could be

A.
1
B.
2
C.
Any number
D.
3

Solution:

QUESTION: 33

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: 34

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: 35

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

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

Solution:

QUESTION: 36

The errors in case of regression equations are

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

Solution:

QUESTION: 37

The regression line of y on is derived by

A.
The minimisation of vertical distances in the scatter diagram
B.
The minimisation of horizontal distances in the scatter diagram
C.
Both (a) and (b)
D.
(a) or (b)

Solution:

QUESTION: 38

What are the limits of the two regression coefficients?

A.
No limit
B.
Must be positive
C.
One positive and the other negative
D.
Product of the regression coefficient must be numerically less than unity

Solution:

QUESTION: 39

The two lines of regression become identical when

A.
r = 1
B.
r = –1
C.
r = 0
D.
(a) or (b)

Solution:

QUESTION: 40

The regression coefficients remain unchanged due to a

A.
Shift of origin
B.
Shift of scale
C.
Both (a) and (b)
D.
(a) or (b)

Solution:

The regression coefficients remain unchanged due to a shift of origin but change due to a shift of scale. (mea of "x", mean of "y"), ... If both the regression coefficients are negative, r would be negative and if both are positive, r would assume a positive value.