Consider the following three regressions that hold for the SAME population: wagei=a0+a1femalei+uiwagei=b0+b2maleei+viwagei=c1femaleei+c2malei+ei where wage refers to average hourly earnings, u,v, and e are the regressions' error terms, and female i=1 if observation i refers to a female, and =0 if observation i refers to a male male i=1 if observation i refers to a male, and =0 if observation i refers to a female about the error terms when finding the expected wage of a male or a female. (a) How much is the expected wage of a male according to each regression? (b) How much is the expected wage of a female according to each regression? (c) Interpret the vertical intercept and the slope in regression (1). (d) Interpret the vertical intercept and the slope in regression (2). (e) Interpret the coefficients c1 and c2 in regression (3). Consider the following three regressions that hold for the SAME population: wagei=a0+a1femalei+uiwagei=b0+b2maleei+viwagei=c1femaleei+c2malei+ei where wage refers to average hourly earnings, u,v, and e are the regressions' error terms, and female i=1 if observation i refers to a female, and =0 if observation i refers to a male male i=1 if observation i refers to a male, and =0 if observation i refers to a female about the error terms when finding the expected wage of a male or a female. (a) How much is the expected wage of a male according to each regression? (b) How much is the expected wage of a female according to each regression? (c) Interpret the vertical intercept and the slope in regression (1). (d) Interpret the vertical intercept and the slope in regression (2). (e) Interpret the coefficients c1 and c2 in regression (3)