In statistics, regression analysis is a technique used to establish the relationship between a dependent variable and one or more independent variables. The regression equation is an equation that describes this relationship. The value of b in the regression equation represents the slope of the line.


The given regression equation is 3x + 2y = 100. This equation can be rewritten in terms of y as:

y = (-3/2)x + 50

This equation is in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.


From the equation y = (-3/2)x + 50, we can see that the value of b is 50. This means that the line intercepts the y-axis at the point (0, 50).

The value of b represents the y-coordinate of the point where the regression line intercepts the y-axis. In other words, it is the value of y when x is equal to zero.


In conclusion, the regression equation for the given data is y = (-3/2)x + 50, and the value of b is 50. The value of b represents the y-intercept of the regression line, which is the point where the line intercepts the y-axis.