Question: So today I've seen a lecture regarding multiple linear regression with response y, an intercept and two explanatory variables x and x2. That is, Yi

So today I've seen a lecture regarding multiple

So today I've seen a lecture regarding multiple linear regression with response y, an intercept and two explanatory variables x and x2. That is, Yi = Bo + B1Xil + B2 Xi2 + ; We let o, , and 2 be the least square estimators for Boi and B2. So the lecturer said that we could reflect over the following: If the sample correlation of the two explanatory variables xi and x2 is positive, i.e. rx1,x2 > 0 then the correlation between , and 2 is negative and I just wonder how I can show it

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