Test: Correlation And Regression- 2 - CA Foundation MCQ

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

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?

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

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

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?

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?

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?

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?

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?

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?

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?

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

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.

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

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

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

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

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

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?

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?

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?

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?

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?

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

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

The coefficient of correlation between x and y where is

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

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