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QUESTION: 1

(Direction 1 - 2) Write the correct answers. Each question carries 1 mark.

**Q. If the coefficient of correlation between two variables is –0 9, then the coefficient of determination is**

Solution:

QUESTION: 2

If the coefficient of correlation between two variables is 0.7 then the percentage of variation unaccounted for is

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QUESTION: 3

(Direction 3 - 26) Answer the following questions by writing the correct answers. Each question carries 2 marks.

**Q. If for two variable x and y, the covariance, variance of x and variance of y are 40, 16 and 256 respectively, what is the value of the correlation coefficient? **

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QUESTION: 4

If cov(x, y) = 15, what restrictions should be put for the standard deviations of x and y?

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QUESTION: 5

If the covariance between two variables is 20 and the variance of one of the variables is 16, what would be the variance of the other variable?

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QUESTION: 6

If y = a + bx, then what is the coefficient of correlation between x and y?

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QUESTION: 7

If g = 0.6 then the coefficient of non-determination is

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QUESTION: 8

If u + 5x = 6 and 3y – 7v = 20 and the correlation coefficient between x and y is 0.58 then what would be the correlation coefficient between u and v?

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QUESTION: 9

If the relation between x and u is 3x + 4u + 7 = 0 and the correlation coefficient between x and y is –0.6, then what is the correlation coefficient between u and y?

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QUESTION: 10

From the following data

Two coefficient of correlation was found to be 0.93. What is the correlation between u and v as given below?

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QUESTION: 11

Referring to the data presented in

Two coefficient of correlation was found to be 0.93. What is the correlation between u and v as given below?

**Q. what would be the correlation between u and v?**

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QUESTION: 12

If the sum of squares of difference of ranks, given by two judges A and B, of 8 students in 21, what is the value of rank correlation coefficient?

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QUESTION: 13

If the rank correlation coefficient between marks in management and mathematics for a group of student in 0.6 and the sum of squares of the differences in ranks in 66, what is the number of students in the group?

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QUESTION: 14

While computing rank correlation coefficient between profit and investment for the last 6 years of a company the difference in rank for a year was taken 3 instead of 4. What is the rectified rank correlation coefficient if it is known that the original value of rank correlation coefficient was 0.4?

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QUESTION: 15

For 10 pairs of observations, No. of concurrent deviations was found to be 4. What is the value of the coefficient of concurrent deviation?

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QUESTION: 16

The coefficient of concurrent deviation for p pairs of observations was found to be 1/. If the number of concurrent deviations was found to be 6, then the value of p is.

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QUESTION: 17

What is the value of correlation coefficient due to Pearson on the basis of the following data:

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QUESTION: 18

Following are the two normal equations obtained for deriving the regression line of y and x:

5a + 10b = 40

10a + 25b = 95

The regression line of y on x is given by

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QUESTION: 19

If the regression line of y on x and of x on y are given by 2x + 3y = –1 and 5x + 6y = –1 then the arithmetic means of x and y are given by

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QUESTION: 20

Given the regression equations as 3x + y = 13 and 2x + 5y = 20, which one is the regression equation of y on x?

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QUESTION: 21

Given the following equations: 2x – 3y = 10 and 3x + 4y = 15, which one is the regression equation of x on y ?

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QUESTION: 22

If u = 2x + 5 and v = –3y – 6 and regression coefficient of y on x is 2.4, what is the regression coefficient of v on u?

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QUESTION: 23

If 4y – 5x = 15 is the regression line of y on x and the coefficient of correlation between x and y is 0.75, what is the value of the regression coefficient of x on y?

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QUESTION: 24

If the regression line of y on x and that of x on y are given by y = –2x + 3 and 8x = –y + 3 respectively, what is the coefficient of correlation between x and y?

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QUESTION: 25

If the regression coefficient of y on x, the coefficient of correlation between x and y and variance of y are –3/4, – and 4 respectively, what is the variance of x?

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QUESTION: 26

If y = 3x + 4 is the regression line of y on x and the arithmetic mean of x is –1, what is the arithmetic mean of y?

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QUESTION: 27

(Direction 27 - 40) Write down the correct answers. Each question carries 5 marks.

**Q. What is the coefficient of correlation from the following data?**

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QUESTION: 28

The coefficient of correlation between x and y where is

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QUESTION: 29

What is the coefficient of correlation between the ages of husbands and wives from the following data?

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QUESTION: 30

Given that for twenty pairs of observations, the coefficient of correlation between x and y is

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QUESTION: 31

The following results relate to bivariate date on (x, y):

later or, it was known that two pairs of observations (12, 11) and (6, 8) were wrongly taken, the correct pairs of observations being (10, 9) and (8, 10). The corrected value of the correlation coefficient is

Solution:

QUESTION: 32

For two variables x and y, it is known that cov (x, y) = 80, variance of x is 16 and sum of squares of deviation of y from its mean is 250. The number of observations for this bivariate data is

Solution:

QUESTION: 33

Eight contestants in a musical contest were ranked by two judges A and B in the following manner:

**Q. The rank correlation coefficient is**

Solution:

QUESTION: 34

Following are the marks of 10 students in Botany and Zoology:

**Q. The coefficient of rank correlation between marks in Botany and Zoology is **

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QUESTION: 35

What is the value of Rank correlation coefficient between the following marks in Physics and Chemistry:

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QUESTION: 36

What is the coefficient of concurrent deviations for the following data:

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QUESTION: 37

What is the coefficient of concurrent deviations for the following data:

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QUESTION: 38

The regression equation of y on x for the following data:

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QUESTION: 39

The following data relate to the heights of 10 pairs of fathers and sons:

(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175) (169, 170), (170, 173)

**Q. The regression equation of height of son on that of father is given by**

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QUESTION: 40

The two regression coefficients for the following data:

Solution:

### Correlation And Regression (Part - 2)

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- Test: Correlation And Regression- 2
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