[R] a problem about WLS

[jacquesliu]

I was asked to do a WLS estimation, so I thought of lm() with weights like
wls=lm(Y~X-1,weight=INC)

however, it gives different result as below code, which use the formula of
WLS
y<-Y*INC^-0.5
x<-X*INC^-0.5
wls=lm(y~x-1)

Can anybody explain to me why the first code can not give the right answer?
Many thanks

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