Question

Suppose the following regression equation was generated from sample data relating annual salary to experience, gender,...

Suppose the following regression equation was generated from sample data relating annual salary to experience, gender, and marital status. Gender is represented by a dummy variable, FEMALEiFEMALEi, where FEMALEi=1FEMALEi=1 if employee i is female and FEMALEi=0FEMALEi=0 if employee i is male. Marital status is represented by a dummy variable MARRIEDiMARRIEDi where MARRIEDi=1MARRIEDi=1 if employee i is married and MARRIEDi=0MARRIEDi=0 if employee i is single.

SALARYi=46905.309796+429.685020EXPERIENCEi−2445.945436FEMALEi−35.464377EXPERIENCEi⋅FEMALEi+10084.736168MARRIEDi−60.572088EXPERIENCEi⋅MARRIEDi−14238.984644FEMALEi⋅MARRIEDi+eiSALARYi=46905.309796+429.685020EXPERIENCEi−2445.945436FEMALEi−35.464377EXPERIENCEi⋅FEMALEiSALARYi=+10084.736168MARRIEDi−60.572088EXPERIENCEi⋅MARRIEDi−14238.984644FEMALEi⋅MARRIEDi+ei

According to the regression equation above, what is the estimated starting salary for married women? Round your answer to two decimal places.

Homework Answers

Answer #1

SALARYi   =46905.309796+429.685020EXPERIENCEi−2445.945436FEMALEi−35.464377EXPERIENCEi⋅FEMALEi+10084.736168MARRIEDi−60.572088EXPERIENCEi⋅MARRIEDi−14238.984644FEMALEi⋅MARRIEDi

here Female = 1 , Married = 1 , Experience = 0

=46905.309796+429.685020EXPERIENCEi−2445.945436 −35.464377EXPERIENCEi +10084.736168 −60.572088EXPERIENCEi −14238.984644

= (46905.309796−2445.945436 +10084.736168 −14238.984644 ) +   ( 429.685020 −35.464377 −60.572088 ) Experience

= 40305.115884 + 333.648555 Experience

= 40305.115884

= 40305.12

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