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Types of Correlation and Scatter Chart

Given the fol...

Question

Given the following pairs of values of the variables X and Y:

X 1 2 3 4 5 6 7 8

Y 11 12 15 20 24 18 26 29

Make a scatter diagram. Comment on the nature of relationship between variables X and Y.

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Solution

Thus, there is a high degree of positive correlation between X and Y.

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Q. Given the following pair of values of the variables X and Y:

X	8	10	12	11	9	7	13	14	15
Y	5	7	9	8	6	4	10	11	12

Also describe relationship between X and Y.

Q. In which of the following tables x and y vary inversely:
(i)

x	4	3	12	1
y	6	8	2	24

x	5	20	10	4
y	20	5	10	25

x	4	3	6	1
y	9	12	8	36

x	9	24	15	3
y	8	3	4	25

Q. Observe the tables given below and in each one find whether x and y are proportional:
(i)

x	3	5	8	11	26
y	9	15	24	33	78

x	2.5	4	7.5	10	14
y	10	16	30	40	42

x	5	7	9	15	18	25
y	15	21	27	60	72	75

Q. From the following data, calculate coefficient correlation between the variables X and Y using Karl Pearson's method:

X	10	6	9	10	12	13	11	9
Y	9	4	6	9	11	13	8	4

Q. Make a scatter diagram from the following data and interpret the result.

X	4	5	6	7	8	9	10	11	12
Y	78	72	66	60	54	48	42	36	30

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