MTH302

1. If the two regression lines coincide, which of the following must be true?

A) The correlation coefficient is zero. B) The standard deviations of X and Y are equal. C) The two regression coefficients are equal and their product is 1. D) The correlation coefficient is either +1 or -1.

2. If the angle between the two regression lines is 90°, which of the following statements is true?

A) The regression coefficients satisfy b_yx × b_xy = 1. B) The correlation coefficient r = 0. C) The variables X and Y are perfectly correlated. D) The regression coefficients are equal in magnitude.

3. If b_yx = 2 and b_xy = 0.5, what is the correlation coefficient r?

A) 0.5 B) -0.5 C) 1 D) -1

4. Which of the following is always true for the two regression coefficients b_yx and b_xy?

A) b_yx × b_xy = 1 B) b_yx × b_xy = r² C) b_yx ÷ b_xy = 1 D) b_yx + b_xy = 1

5. Given x = 2y + 4 and y = kx + 6 are the lines of regression of x on y and y on x respectively, find the value of k if r = 0.5.

A) 1/8 B) 1/3 C) 1/2 D) 1/4

6. If r = 0.8 and b_xy = 0.32, what will be the value of b_yx?

A) 0.48 B) 0.52 C) 2 D) 1

7. For the given data, two lines of regression are: Y = 1.6X − 10 and X = 4Y − 95. What is the correlation coefficient r?

A) 0.8 B) 0.64 C) 0.4 D) 0.2

8. For 50 students of a class, the regression equation of marks in statistics (X) on marks in mathematics (Y) is 3Y − 5X + 180 = 0. The mean marks in mathematics is 44, and the variance of marks in statistics is 9/16 of the variance of marks in mathematics. What is the mean marks in statistics?

A) 62.4 B) 15.9 C) 21.2 D) 1

9. If the regression coefficient b_yx = 1.6 and b_xy = 0.25, what is the correlation coefficient r?

A) 0.4 B) 0.6 C) 0.8 D) 1

10. If the regression equation of Y on X is Y = 1.6X − 10 and the regression equation of X on Y is X = 4Y − 95, what is the correlation coefficient r?

A) 0.8 B) 0.64 C) 0.4 D) None of them

Regression MCQs

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