**Finding the Regression Line:**

The given equation is 2x - 3y + 50 = 0. To find the regression line of y on x, we need to express y in terms of x.

Step 1: Start by rearranging the equation to isolate y.

2x - 3y + 50 = 0

-3y = -2x - 50

y = (2/3)x + 50/3

Step 2: Compare the equation with the standard form of a regression line.

y = bx + a

We can see that the coefficient of x, b, is equal to 2/3. Therefore, the value of byx is 2/3.

**Explanation:**

The regression line represents the best-fit line that minimizes the sum of squared differences between the observed values of y and the corresponding predicted values. The slope of this line is represented by the coefficient b, which measures the change in y for every unit change in x.

In this case, the coefficient of x is 2/3. This means that for every unit increase in x, y is expected to increase by 2/3. Similarly, for every unit decrease in x, y is expected to decrease by 2/3.

The coefficient byx, also known as the slope of the regression line, is an important measure in regression analysis. It indicates the strength and direction of the relationship between the independent variable (x) and the dependent variable (y). A positive value of byx indicates a positive relationship, where an increase in x leads to an increase in y. A negative value of byx indicates a negative relationship, where an increase in x leads to a decrease in y.

In this case, since the value of byx is 2/3, it indicates a positive relationship between x and y. This means that as x increases, y is expected to increase by 2/3. Similarly, as x decreases, y is expected to decrease by 2/3.

By calculating the value of byx, we can determine the nature and strength of the relationship between x and y, and use the regression line to make predictions about the dependent variable based on the independent variable.