Correlation Test

Directions For Questions

Correlation is a statistical method or statistical technique that measures quantitative relationship between different variables like price & demand. Correlation between different variables may either be positive or negative. When two variable move in the same direction i.e. when one increases other also increases & vice versa & when two variable change in different directions are the cause of positive & negative correlation.
In case of linear correlation, the two sets of data's show some fixed proportion to each other & therefore form a straight line on a graph paper. In case of non linear correlation, on the other hand the two sets of data's do not show any fixed proportion to each other, and therefore their graphs are different from the graphs of linear correlation. The degree of correlation refers to the coefficient of correlation. There are several degree of correlation like perfect positive, perfect negative high positive,high negative. Sometime variables are uncorrelated & degree of correlation in such cases is O.
Consider the Scattered diagrams

On the basis of above information answer the following questions

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Physics	48	60	72	62	56	40	39	52	30
Mathematics	62	78	65	70	38	54	60	32	31

S. No.	1	2	3	4	5	6	7	8	9	10
Rank Differences	-2	-4	-1	3	2	0	-2	3	3	-2

Student	A	B	C	D	E	F	G	H	I	J	K	L
History	69	36	39	71	67	76	40	20	85	65	55	34
Mathematics	33	52	71	25	79	22	83	81	24	35	46	64

Student	$$A$$	$$B$$	$$C$$	$$D$$	$$E$$	$$F$$	$$G$$	$$H$$	$$I$$	$$J$$	$$K$$	$$L$$
History	$$69$$	$$36$$	$$39$$	$$71$$	$$67$$	$$76$$	$$40$$	$$20$$	$$85$$	$$65$$	$$55$$	$$34$$
Mathematics	$$33$$	$$52$$	$$71$$	$$25$$	$$79$$	$$22$$	$$83$$	$$81$$	$$24$$	$$35$$	$$46$$	$$64$$

Correlation Tes...

Question 1

$$\frac{3}{4}$$

$$\frac{1}{5}$$

$$\frac{1}{6}$$

$$\frac{1}{4}$$

Question 2

Increase in temperature leads to increase in sales of air conditioners.

Increase in temperature leads to decrease in traffic on road.

Decrease in temperature is accompanied by increase in sales of ice creams

None of the above

Question 3

High negative

High positive

Low positive

Moderate.

Question 4

Question 5

$$r=0.66$$

$$r=0.32$$

$$r=0.53$$

$$r =0.28$$

Question 6

$$0\ and \ 1$$

$$-1\ and \ 1$$

$$-\infty \ and \ \infty$$

$$-10\ and \ 10$$

Question 7

0.64

0.50

0.45

0.34

Question 8

-0.77

-0.92

0.77

0.92

Question 9

perfect positive

perfect negative

imperfect positive

imperfect negative

Question 10

A very good student of history is a very bad student in mathematics.

A bad student of history is even bad student in mathematics.

This is positive correlation

None of the above

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