MCQ: The angle between the regression lines depends on (a) correlation...
Introduction:
To determine the relationship between two variables, regression analysis is used. It helps in finding the best fit line for the data points. In some cases, there may be two regression lines, one for each variable. The angle between these two lines is important for understanding the relationship between the variables.
Factors affecting the angle between regression lines:
The angle between the regression lines depends on two factors:
1. Correlation coefficient: The correlation coefficient measures the strength and direction of the linear relationship between two variables. If there is a strong positive correlation between the variables, the angle between the regression lines will be small. If there is a strong negative correlation, the angle will be large. If the correlation is zero or close to zero, the angle will be 90 degrees.
2. Regression coefficient: The regression coefficient measures the change in the dependent variable for a one-unit change in the independent variable. If the regression coefficients for both variables are equal, the angle between the lines will be 45 degrees. If one coefficient is larger than the other, the angle will be smaller than 45 degrees.
Conclusion:
To summarize, the angle between the regression lines depends on both the correlation coefficient and the regression coefficient. The correlation coefficient determines the direction of the angle while the regression coefficient determines the magnitude of the angle. Understanding the angle between the regression lines is important for interpreting the relationship between the variables.
MCQ: The angle between the regression lines depends on (a) correlation...
B) regression coefficient
because the angle forming between x and y on graph depends on their regression coefficient values.
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