Question

General equation of the regression line x on y is ________.
Select one:
a. (y-ybar)=b_xy (x-xbar)
b. (x-xbar)=b_xy (y-ybar)
c. (x+xbar)=b_xy (y+ybar)
d. (x-xbar)=b_yx (y-ybar)​

Answer 1

The correct answer is option b we know that equation of regression line x on y is  (x - xbar) = $b_x_y$( y - ybar).

• When Y is known and a, b, c, and d are constants, the regression equation X on Y is X = c + dy, which is used to estimate the value of X. Another way to read the equation Y = a + bx is as 'a' is the average value of Y when X is zero. When Y is zero, X equals c + dy, where c is the average value of X.
• It's common to refer to the y variable as the criteria variable and the x variable as the predictor variable. The regression coefficient is frequently used to refer to the slope, and the regression constant to the intercept.
• One must multiply the slope of a regression line by the correlation between x and y after dividing the standard deviation of y values by the standard deviation of x values further if the slope is negative, the line appear to be moving downward rather than moving upward.

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Answer 2

b) (x-xbar) = $b_{xy$(y-ybar)

• The dependent variables on the axis of y and the independent variables on the x-axis are appropriately shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created and hence the correlation is established.
• Two sets of variables are established to have a linear connection via the regression line. Changes in one variable have an impact on changes in the other that is the independent variable.
• On a regression graph, the Least Squares Regression Line (LSRL) is shown closest to the data points (x, y). To assess a project's viability, regression is totally and frequently employed in financial models like CAPM and investing metrics like Beta. Projections of investments and financial returns are also made using it.

Here, according to the given information, we are given that,

If the intercepts are (xbar, ybar), we get the General equation of the regression line x on y as,

(x-xbar) = $b_{xy$(y-ybar)

Hence, option b is correct.

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