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Test: Correlation And Regression- 2 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Correlation And Regression- 2

Test: Correlation And Regression- 2 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Correlation And Regression- 2 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Correlation And Regression- 2 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Correlation And Regression- 2 below.
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Test: Correlation And Regression- 2 - 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

Test: Correlation And Regression- 2 - 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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Test: Correlation And Regression- 2 - 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? 

Test: Correlation And Regression- 2 - Question 4

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

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - Question 6

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

Test: Correlation And Regression- 2 - Question 7

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

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Detailed Solution for Test: Correlation And Regression- 2 - Question 10

To find the correlation between the variables u and v, we can use the formula for the Pearson correlation coefficient:

Step-by-Step Solution

  1. Calculate the mean of u and v:
    • For u = [-3, -2, 0, -1, 2]: ū = (-3 + (-2) + 0 + (-1) + 2) / 5 = -0.8
    • For v = [-4, -2, -1, 0, 2]: &vmacr; = (-4 + (-2) + (-1) + 0 + 2) / 5 = -1
  2. Calculate (ui - ū) and (vi - &vmacr;) for each data point.
  3. Substitute into the formula and calculate the values for the numerator and denominator.

The calculated correlation between u and v is approximately 0.93.

Answer: b) 0.93

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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.

Test: Correlation And Regression- 2 - Question 17

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

Test: Correlation And Regression- 2 - 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

Detailed Solution for Test: Correlation And Regression- 2 - Question 18

 

Test: Correlation And Regression- 2 - 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

Test: Correlation And Regression- 2 - Question 20

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

Test: Correlation And Regression- 2 - Question 21

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

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

Test: Correlation And Regression- 2 - 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?

 

Test: Correlation And Regression- 2 - Question 28

The coefficient of correlation between x and y where is

Test: Correlation And Regression- 2 - Question 29

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

Test: Correlation And Regression- 2 - Question 30

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

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