Questions

Solve the Following Question.(5 Marks)

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7 questions · self-marked practice — reveal the answer and mark yourself.

Question 15 Marks
If the correlation coefficient between $X$ and $Y$ is 0.8 , what is the correlation coefficient between
(i) $2 X$ and $Y$
(ii) $\frac{X}{2}$ and $Y$
(iii) $X$ and $3 Y$
(iv) $X-5$ and $Y-3$
(v) $X+7$ and $Y+9$
(vi) $\frac{X-5}{7}$ and $\frac{Y-3}{8}$ ?
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Question 25 Marks
Calculate the correlation coefficient from the following data and interpret it.

X

9

7

6

8

9

6

7

Y

19

17

16

18

19

16

17

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Question 45 Marks
A sample of 5 items is taken from the production of a firm. The length and weight of 5 items are given below. [Given: √0.8823 = 0.9393]

Length

3

4

6

7

10

Weight(gm.)

9

11

14

15

16

Calculate the correlation coefficient between length and weight and interpret the result.

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Question 55 Marks
Draw a scatter diagram for the data given below. Is there any correlation between Aptitude score and Grade points?

Aptitude score

40

50

55

60

70

80

grade points

1.8

3.8

2.8

1.7

3.2

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Question 65 Marks
For the following data of marks of 7 students in Physics and Mathematics (y), draw scatter diagram and state the type of correlation.

X

8

6

2

4

7

8

9

y

6

5

1

4

4

7

8

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