Correlation Test

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Correlation Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

The correlation between supply and price is

A
perfect positive

B
perfect negative

C
imperfect positive

D
imperfect negative

Solution

Supply and price are both linked to the demand of a product. The higher the demand the higher the consumer(s) are willing to pay a price for a specific good and or service.
If supply is low but demand high then the price will be high because the opportunity cost of buying the product/service has also increased.
But if supply is high but demand low then the price will be low because the opportunity cost has now decreased.
Hence, both supply and price are opposite to each other.
Hence, the correlation is perfect negative.
Question 2
1 / -0

The corelation between radius and circumference of circle is

A
perfect positive

B
perfectnegative

C
imperfect positive

D
imperfect negative

Solution

We know circumference $$= 2\pi r$$
Circumference is directly proportional to the radius, so relation is perfect positive.
Hence, option A is correct.
Question 3
1 / -0

It is perfect correlaion if

A
$$0.7\lt r\lt 0.99$$

B
$$-0.7\gt r\gt -0.99$$

C
$$r=1$$

D
$$0.5\lt r \lt0.699$$

Solution

A relationship between two variables, x and y, in which the change in value of one variable is exactly proportional to the change in value of the other. That is, knowing the value of one variable exactly predicts the value of the other variable (i.e., rxy = 1.0).
Question 4
1 / -0

The correlation between standard of living and income is

A
perfect positive

B
perfect negative

C
imperfect positive

D
imperfect negative

Solution

A standard of living is the level of wealth, comfort, material goods and necessities available to a certain socioeconomic class or a certain geographic area.
Standard of living depends upon the earning or income you get. Based on that you can set your standard of living.
So, there is a correlation between standard of living and income.
Hence, the answer is perfect positive.
Question 5
1 / -0

The correlation between marks of history and maths has

A
positive relation

B
negative

C
imperfect

D
no relation

Solution

The contents of History and Maths are totally different.
Maths and History are different subjects.
So, there is no relation between History and Maths.
Hence, there is no relation between marks of History and Maths.
Question 6
1 / -0

If increase in value of one variable is not accompnied by the proportional increase in second variable, then corrrelation between two variables is

A
perfect positive

B
perfect negative

C
imperfect positive

D
imperfect negative

Solution

If increase in value of one variable is not accompnied by the proportional increase in second variable, then corrrelation between two variables is imperfect positive.
Question 7
1 / -0

If decrease in value of one variable is accompanied by the proportional increase in second variable, then correlation between two variables is

A
perfect positive

B
perfect negative

C
imperfect positive

D
imperfect negative

Solution

If increase in value of one variable is accompanied by the proportional decrease in second variable, then corrrelation between two variables is perfect negative.
Question 8
1 / -0

When area of rectangle is constant the correlation between its length and breadth is

A
perfect positive

B
perfect negative

C
imperfect positive

D
imperfect negative

Solution

We know area of a rectangle $$= l\times b$$
Given, $$A =\text{constant}$$, then $$ l\times b = \text{constant}$$
Hence, $$l $$ and $$b $$ are inversly proportional and they are perfect negative.
Question 9
1 / -0

The formula for correlation coeficient $$r$$ of two variables $$x$$ and $$y$$ is

A
$$u_i=\dfrac{x_i-a}{h}$$,

B
$$\dfrac{1}{n}\sum(x-\overline x)(y-\overline y)$$

C
$$\dfrac{d_xd_y}{\sqrt{{\sum d_x}^2.{\sum d_y}^2}}$$

D
$$\dfrac{\sum xy}{\sigma_x \sigma _y}$$
Question 10
1 / -0

The slope of the regression line of $$Y$$ on $$X$$ is also called the:

A
Correlation coefficient of X on Y

B
Correlation coefficient of Y on X

C
Regression coefficient of X on Y

D
Regression coefficient of Y on X

Solution

From correlation & regression theory option D is correct

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Re-Attempt Weekly Quiz Competition

Correlation Test - 9

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Correlation Test - 9

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SHARING IS CARING

Question 1

perfect positive

perfect negative

imperfect positive

imperfect negative

Solution

Question 2

perfect positive

perfectnegative

imperfect positive

imperfect negative

Solution

Question 3

$$0.7\lt r\lt 0.99$$

$$-0.7\gt r\gt -0.99$$

$$r=1$$

$$0.5\lt r \lt0.699$$

Solution

Question 4

perfect positive

perfect negative

imperfect positive

imperfect negative

Solution

Question 5

positive relation

negative

imperfect

no relation

Solution

Question 6

perfect positive

perfect negative

imperfect positive

imperfect negative

Solution

Question 7

perfect positive

perfect negative

imperfect positive

imperfect negative

Solution

Question 8

perfect positive

perfect negative

imperfect positive

imperfect negative

Solution

Question 9

$$u_i=\dfrac{x_i-a}{h}$$,

$$\dfrac{1}{n}\sum(x-\overline x)(y-\overline y)$$

$$\dfrac{d_xd_y}{\sqrt{{\sum d_x}^2.{\sum d_y}^2}}$$

$$\dfrac{\sum xy}{\sigma_x \sigma _y}$$

Question 10

Correlation coefficient of X on Y

Correlation coefficient of Y on X

Regression coefficient of X on Y

Regression coefficient of Y on X

Solution

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