Discussion
For any pair of variables X and Y, two regression equations-one regression of Y on X and other regression of X on Y exist because
I. Tangent of the angle made by two regression equations with each other determines the coefficient of correlation.
II. Regression model does not help in the identification of dependent and independent variables of the equation.
III. Regression and correlation coefficients represent the co-variation of the two variables.
IV. Regression equation represents jointly the value of X and Y.
Select the right code from the following as the answer to the question :
Codes :
Answer: A
Two regression equations exist for a pair of variables, Y on X and X on Y, because I and II are the reasons given in the key: the angle between the two lines depends on the correlation coefficient (the lines coincide when r is plus or minus one and are at right angles when r is zero), and the regression model does not by itself identify which variable is dependent and which is independent. This is option A.
Statements III and IV describe correlation and regression in general and are not given as the reason for having two equations, so options B, C and D are not the keyed answer.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development