1) Perfect correlation Show
2) Perfect negative correlation 3) No linear correlation 4) None of the above Solution: (3) No linear correlation The angle between the line of regression is θ, then tan θ = ± {[1 – r2] / r} * {[ x . y] / [ x2 + y2], here θ = 90o, r = 0 There is no linear correlation. The regression lines will be perpendicular to each other if the coefficient of correlation r is equal to
Answer (Detailed Solution Below)Option 4 : 0
 Concept: Properties of regression line and correlation coefficient:
Calculation: Properties of regression line and correlation coefficient:
Stay updated with the Mathematics questions & answers with Testbook. Know more about Statistics and ace the concept of Correlation and Regression. When the two lines of regression intersect each other at 90?There is no linear correlation. Was this answer helpful?
When r is equal to 1 then the two regression lines are?when r=1⟹ then the lines superimpose one another and hence, lines of regression are parallel/co-incident.
What is the correlation coefficient of two regression coefficients?The correlation coefficient is equal to the geometric mean of two regression coefficients. The positive and negative sign of correlation coefficient depends on the sign of regression coefficients.
When the value of r is zero the regression lines intersect each other at an angle of?Regression Lines:
If r = 0, i.e., both the variables are independent then the two lines will cut each other at right angle.
|
What would be the value of correlation coefficient between variables X and Y if two regression lines intersect each other at an angle of 90?
Urheberrechte © © 2024 paraquee Inc.
