Regression models were fit, relating height {Y, in mm) to hand length (X1, in mm), foot length (X2, in mm] and gender (X3=1 if male, 0 if female) based on a sample of 80 males and 75 females. Consider these 4 models: Model 1: E{Y} = [30 + AX, +5219 + 5X3 hens/pt3 \"rigs/2x; Model 2: E {Y} = ,3" +,6,X, +2X3 + 53X, Model 3 (Males Only): E{.'r'} = (50 +(5'IXI + BizXJ Model 4 (Females Only): E{Y} = y" + ?|X1+ sz, 3) Confirm the equivalence of the regression coefficients (but not standard errors] based on the appropriate models (Hint: set up the fitted equations based on the two models): Females: Males