List of top Mathematics Questions on Regression analysis

One of the normal equations for fitting a straight line \(y=a+bx\) is
Correlation coefficient is independent of
If \( \bar{x} = 4 \), \( \bar{y} = 8 \), \( \sigma_x = 2 \), \( \sigma_y = 3 \), and \( r = 0.3 \), then the line of regression of \( y \) on \( x \) is
In regression analysis independent variable is also called as
Given below are two statements:
Statement I: Line of regression of y on x is the line which gives the best estimate for the value of y for any specified value of x. 
Statement II: Line of regression of x on y is the line which gives the best estimate for the value of x for any specified value of y. 
In the light of the above statements, choose the correct answer from the options given below:
The regression analysis confined to the study of only two variables at a time, is called as
Which of the following is the linear regression equation