3. Given data pairs [Xhl'i], where I? = 1, . . . ,n. We lit the simple linear regression K=++a Suppose, in addition, Ei. are independent, normally distributed 1with mean G and variance .112. For each of the following three scenarios, how are 59,51,62, H2 and the ttest of Hg : :31 = D vs. H,1 1 ,3; 319 D affected? Please answer accordingly and make necessary explanations. {a} X, is replaced by 2X, and Y,- remains the same. {b} 1"; is replaced by 2]"; and X,- remains the same. {c} Xi is replaced by 2X; and Y,- is replaced by 21"}