Consider the population regression of log earnings (y, where y= in(earnings)l against two binary variables: whether a worker is married (d1 where d1= 1 if the person is married) and the worker's gender where(d2,where d2=1 if the person is female), and the product of the two binary variables y= β0+1d1+β2d2+β3(d1xd2) + μ. the interaction word (d1 x d2)a) allows the population effect on log earnings of being married to depend on gender b) does not make sense since it could be zero for married males c) indicates the effect of being married on log earnings d) cannot be estimated without the presence of a continuous variable

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?