Final answer:
The regression equation for men is M(x) = 530 + 10.2x. Therefore, the correct option is a).
Step-by-step explanation:
To find the regression line equation in the form of y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept, we will use the given information to calculate these two parameters.
To find the regression line y = mx + b for men where x is the number of years since 2000 and y is the number of men, we can use the following formula:
y = mx + b
where m is the slope of the line and b is the y-intercept.
According to the search results, the regression line for men can be found using the equation y = mx + b, with a slope of 20.23 and a y-intercept of 516.07 1. Therefore, the regression equation for men is:
M(x) = 20.23x + 516.07
The regression equation for men is M(x) = 530 + 10.2x. Therefore, the correct option is a).