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Linear Modelingmedium
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Given that the covariance between xxx and yyy is Cov(x,y)=12Cov(x, y) = 12Cov(x,y)=12, and the variance of xxx is Var(x)=16Var(x) = 16Var(x)=16, what is the slope β1\beta_1β1​ of the least-squares regression line y^=β0+β1x\hat{y} = \beta_0 + \beta_1 xy^​=β0​+β1​x?