Regression Equation
The regression equation is a mathematical model that represents the relationship between two variables. In this case, we have the equation Y = 19 - (5X/2), where Y represents the dependent variable and X represents the independent variable.

Finding the Regression Equation x on y
To find the regression equation x on y, we need to rearrange the given equation to solve for X in terms of Y. Let's start by rewriting the equation:

Y = 19 - (5X/2)

Now, let's isolate the term with X:

5X/2 = 19 - Y

To solve for X, we can multiply both sides of the equation by 2/5 to cancel out the fraction:

2/5 * (5X/2) = 2/5 * (19 - Y)

X = (2/5) * (19 - Y)

Therefore, the regression equation x on y is X = (2/5) * (19 - Y).

Understanding bxy
In the regression equation, the coefficient bxy represents the slope of the line. It indicates the rate at which the independent variable X changes with respect to the dependent variable Y.

In this case, the coefficient bxy is equal to 2/5. This means that for every unit increase in Y, X will increase by 2/5 units. Similarly, for every unit decrease in Y, X will decrease by 2/5 units.

Summary
- The regression equation Y = 19 - (5X/2) represents the relationship between the dependent variable Y and the independent variable X.
- To find the regression equation x on y, we rearrange the equation to solve for X in terms of Y.
- The regression equation x on y is X = (2/5) * (19 - Y).
- The coefficient bxy represents the slope of the line and indicates the rate of change between X and Y. In this case, bxy is equal to 2/5.