Bissoy.com
Doctors Medicines MCQs Q&A

In a two variable (X and Y) regression analysis, the regression coefficients are bxy = 0.6 and byx = 0.8. If y is dependent variable and x is independent variable, what is the percentage of variations in Y explained by X?

In a two variable (X and Y) regression analysis, the regression coefficients are bxy = 0.6 and byx = 0.8. If y is dependent variable and x is independent variable, what is the percentage of variations in Y explained by X? Correct Answer 48%

Coefficient of correlation is 'r' value. It will be equal to (bxy*byx)1​/2

= 0.6 x 0.8)1/2

= (0.48)1/2

= 0.6928

R2 is known as the coefficient of determination which explains the percentage variation in the dependent variable explained by the independent variable. 

R2 = r*r = (0.6928)2 = 0.4799 or multiply with 100 to obtain in percentage form, i.e, 47.99% or 48% approximately.

It means 48% variations in Y are explained by X. 

Related Questions

Which of the following statements is false?  1. When value of correlation coefficient is one, the two regression lines coincide 2. The regression coefficients are independent of the change of origin and of scale 3. The sign of the regression coefficients are always the same 4. The square of the coefficient of correlation is called coefficient of determination 
A certain bivariate data byx and bxy have been calculated which is equal to 2.4 and 0.4, respectively. If the value of the x series are all multiplied by 5 and all values of y series are divided by 2, how would it affect the value of the two coefficients?
What is/are true about ridge regression?
1. When lambda is 0, model works like linear regression model
2. When lambda is 0, model doesn't work like linear regression model
3. When lambda goes to infinity, we get very, very small coefficients approaching
04. When lambda goes to infinity, we get very, very large coefficients approaching infinity.
rxy = 0.8 এবং byx = 1.6 হলে bxy কত?
bxy = 0.94 এবং byx = 1.01 হলে rxy = কত?
যদি byx = -0.8 এবং bxy = - 0.6 হয় তবে সংশ্লেষাঙ্কের মান কত হবে?
rxy = ০.৪ এবং byx = 1.6 হলে bxy কত?
যদি byx = - 1 এবং bxy = - 0.8 হয়, তবে সংশ্লেষাংকের মান কত?
Which of the following statements relating to correlation and reegression are true?
1. The coefficient of correlation is independent of change of origin and scale
2. The coefficient of correlation between the two variables is the arithmetic average of the two regression coefficients
3. The probable error of the coefficient correlation is 0.6745 times of its standard error
4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
Select the correct answer:
Which of the following statements is most relevant in the context of Job Analysis? Choose the correct answer from the code given below. (i) Job Analysis helps in identifying the right person for the right job. (ii) A person cannot judge the job from the point of view of its suitability. (iii) Job analysis helps in job satisfaction and job efficiency. (iv) Through Job Analysis an employer cannot evaluate the prospective employee to judge his fitness or otherwise for the job. (v) Job Analysis helps in planning appropriate training programs. (vi) Job Analysis defines client needs in specific terms. (vii) Job Analysis assists in knowing the personnel specifications for various jobs.