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##### If you know that the relationship between the studentâ€™s scoreand the number of academic hours for a sample of six students isrepresented by the following linear regression equation y = 12.6 +0.82 x where x represents the number of academic hours and yrepresents the studentâ€™s score and that you have the followingdata: the arithmetic mean of students â€™grades = 29 and the sum ofhours The study is for 120 students
If you know that the relationship between the studentâ€™s score and the number of academic hours for a sample of six students is represented by the following linear regression equation y = 12.6 + 0.82 x where x represents the number of academic hours and y represents the studentâ€™s score ...
##### For observations {Y;; 1;}i_1 recall that for the model Y; = Qo + B0I; + e;, the OLS estimator for {a0, B0}, the minimizer of Ci=1 (Y; -a - BX;)? 3 5Z(KDD and a =F-3T. 5(-n)? When the equation is the true data generating proce33 {X;};_1 are non-stochastic_ and {e;};_1 are random variables with E (e;) = 0 E (e?) = 0&, and E(e;e;) = 0 for any i,j = 1,2,_ and #jwe know that8o, E(a) = Q0, Var (85i_I(X; -T)? ojX Var and Cov "] (a,8)= Ci_ (T; CZI (X; -T) can be unbiasedly estimated byGZa-_-_2(
For observations {Y;; 1;}i_1 recall that for the model Y; = Qo + B0I; + e;, the OLS estimator for {a0, B0}, the minimizer of Ci=1 (Y; -a - BX;)? 3 5Z(KDD and a =F-3T. 5(-n)? When the equation is the true data generating proce33 {X;};_1 are non-stochastic_ and {e;};_1 are random variables with E (e;)...