Correlation Test

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Correlation Test - 3

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Question 1
1 / -0

The coefficient of correlation

A
Cannot be positive

B
Always positive

C
Cannot be negative

D
Can either be positive or negative

Solution

Because the two series can be related directly or Inversely.
Question 2
1 / -0

Which of the following indicates the strongest relationship?

A
r = .08

B
r² = .2

C
r = - .6

D
r = .5

Solution

The highest score shows high degree of correlation. It can be positive or negative.
Question 3
1 / -0

If the plotted points in the plane are spread all over the diagram, then there is

A
No correlation

B
Highly Positive correlation

C
Highly Negative correlation

D
None

Solution

Data points scattered all over the diagram indicate no association between the two variables and hence there is no correlation.
Question 4
1 / -0

If two variables oppose each other then the correlation will be

A
No Correlation

B
Positive Correlation

C
Perfect Correlation

D
Negative Correlation

Solution

Negative correlation implies that high value of one variable will correspond to a low value of another variable and vice versa.
Question 5
1 / -0

Two variables are said to be positively correlated when with _____ in the value of one variable, the value of other variable also _____

A
Rise , Falls

B
No change, Rises

C
Fall, Rises

D
Fall , falls

Solution

Positive correlation implies that both the variables will move in the same direction, either both will rise or both will fall.
Question 6
1 / -0

If two variables are highly correlated, what do you know?

A
That there are no other variables responsible for the relationship

B
That changes in one variable are accompanied by predictable changes in the other

C
That they always go together

D
That high values on one variable lead to high values on the other variable

Solution

High degree of correlation implies that there is a strong relationship between the two variables and that the changes in one variable cause predictable changes in the other variable.
Question 7
1 / -0

The Spearman correlation is used with

A
Ordinal data

B
Nominal data

C
Interval data

D
Ratio data

Solution

Spearman's rank correlation is used for ordinal data, where the values have not been measured but have been ranked.
Question 8
1 / -0

The nature of correlation for shoe size and IQ is _________

A
Linear

B
Non-linear

C
No correlation

D
None

Solution

There is no relationship between the shoe size of a person and his IQ and therefore there is no correlation
Question 9
1 / -0

Calculate Pearson's correlation coefficient from the following data :

A
+0.25

B
-0.14

C
-0.18

D
0.12

Solution
Question 10
1 / -0

What is the range of simple correlation coefficient?

A
1> r > 1

B
-1< r < 1

C
1< r > 1

D
1< r < 1

Solution

Because the correlation between two variables can be negative or positive or no relation
Question 11
1 / -0

Correlation refers to

A
The association between two variables

B
The causal relationship between two variables

C
The proportion of variance that two variables share.

D
None

Solution

Correlation between two variables shows how the two series are associated with each other. How one variable changes with the change in other
Question 12
1 / -0

If the coefficient correlation exactly equals to -1 then it will be effect

A
Negative correlation

B
Simple correlation

C
Multiple correlation

D
Positive correlation

Solution

Because a negative value of correlation indicates an inverse relation.
Question 13
1 / -0

Calculate Karl Pearson’s coefficient of correlation on the following data:

A
0.89

B
0.98

C
0.45

D
0.75
Question 14
1 / -0

Following are the elements of correlation except

A
There should be three or more variables

B
The change in the value of one affects another

C
There should be only curvilinear relations among variables

D
There should be relationship among them

Solution

It is not necessary that there must be a curvilinear relation among variables,it can be linear or non linear correlation.
Question 15
1 / -0

Examples of negative correlation are

A
Increase in height and weight.

B
Age of husband and age of wife.

C
Demand for a commodity may go down as a result of rise in prices

D
The family income and expenditure on luxury items.

Solution

Negative correlation is said to exist when a rise in the value of one variable leads to a fall in the value of the other variable and vice versa.
Question 16
1 / -0

If D2 = 0 rank correlation is

A
1.0

B
0

C
0.5

D
-1

Solution

If it is so then the fraction part will be zero and when zero is subtracted from1 we will get 1.
Question 17
1 / -0

Following are the examples of positive correlation except

A
Sale of woollen garments and day temperature

B
Age of husband and age of wife.

C
Increase in height and weight.

D
Price of commodity and amount of supply

Solution

It is an example of negative correlation because with the rise in temperature the sale of woollen garments will fall.
Question 18
1 / -0

Coefficient of correlation is also known as product moment correlation.

A
Spearman’s rank correlation.

B
None

C
Both

D
Karl Pearson’s coefficient of correlation.

Solution

As it is the product of two different random variables.also in denominator there is product of standard deviation.
Question 19
1 / -0

If cov(x,y) = 0 then

A
x and y are uncorrelated

B
x and y are linearly related

C
x and y are correlated

D
none

Solution

As correlation is zero, the variables are not related with each other
Question 20
1 / -0

If the plotted points in the plane form a band and they show a rising trend from the lower left hand corner to the upper right hand corner, then there is

A
High negative correlation

B
High positive correlation

C
Both

D
None

Solution

A band showing a rising trend from left to right indicates a close positive relationship and thus there is high positive correlation.
Question 21
1 / -0

Rearrange the following steps

a. Find the mean of two series x and y
b. Take deviation of the two series from their means.
c. Square the deviations and get the total
d. Multiply the deviations of x and y and get the total.
e. Substitute the values in the formula.

Options are as follows

A
b,a,c,d,e

B
a,c,b,d,e

C
a,b,c,d,e

D
b,a,d,c,e

Solution

This is the correct sequence to calculate Karl Pearson's correlation coefficient. It will take a value ranging from -1 to +1. Positive values of correlation coefficient indicate positive relationship between the two variables, while negative values are indicative of a negative relationship. Zero value implies no relationship.
Question 22
1 / -0

Given that r = 0.42, cov(x,y) = 10.5, var(x) = 16; Find the standard deviation of y.

A
4.21

B
6.25

C
5.23

D
3.42

Solution
Question 23
1 / -0

If the ratio of change between the two variables is a constant then there will be

A
Non-linear correlation

B
Positive correlation

C
Negative correlation

D
Linear correlation

Solution

Because due to this constant change, the data form a straight line on graph paper.
Question 24
1 / -0

If all the plotted points form a straight line from lower left hand corner to the upper right hand corner then there is

A
Negative correlation

B
Perfect positive correlation

C
Multiple correlation

D
Simple correlation

Solution

A line from lower left hand corner to the upper right hand corner indicates perfect positive correlation with the value of r equal to 1.
Question 25
1 / -0

If with the fall in the value of one variable the value of another variable rises in the same proportion then it is said to be

A
None

B
Positively correlated

C
Both

D
Negatively correlated

Solution

Because both the variables are moving in different directions.

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Correlation Test - 3

Result

Correlation Test - 3

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Rank

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SHARING IS CARING

Question 1

Cannot be positive

Always positive

Cannot be negative

Can either be positive or negative

Solution

Question 2

r = .08

r2 = .2

r = - .6

r = .5

Solution

Question 3

No correlation

Highly Positive correlation

Highly Negative correlation

None

Solution

Question 4

No Correlation

Positive Correlation

Perfect Correlation

Negative Correlation

Solution

Question 5

Rise , Falls

No change, Rises

Fall, Rises

Fall , falls

Solution

Question 6

That there are no other variables responsible for the relationship

That changes in one variable are accompanied by predictable changes in the other

That they always go together

That high values on one variable lead to high values on the other variable

Solution

Question 7

Ordinal data

Nominal data

Interval data

Ratio data

Solution

Question 8

Linear

Non-linear

No correlation

None

Solution

Question 9

+0.25

-0.14

-0.18

0.12

Solution

Question 10

1> r > 1

-1< r < 1

1< r > 1

1< r < 1

Solution

Question 11

The association between two variables

The causal relationship between two variables

The proportion of variance that two variables share.

None

Solution

Question 12

Negative correlation

Simple correlation

Multiple correlation

Positive correlation

Solution

r² = .2