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{"sheet":"Notes","index":1,"n_rows":15,"n_cols":4,"rows_kept":15,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,"Aims","for first year"]
[]
[null,null,1,"For first year, this has one important point to put across. "]
[null,null,null,"Namely, how it is that alpha hat and beta hat have a distribution. This is very difficult for students to understand. They simply view regression as line fitting."]
[null,null,null,"Again, my Hons. Students did not understand in what sense that alpha hat and beta hat have distributions."]
[]
[]
[]
[null,null,"Exercises"]
[null,null,null,"At first year level the regression sim does not lend itself to exercises except for students familiarising themselves with what is happening"]
[null,null,null,"That is, for fixed x, y is first simulated for some u"]
[null,null,null,"Then keeping this x fixed but varying the y, alpha hat and beta hat are computed."]
[null,null,null,"That is the use of the xy plotting buttons. That for a given set of x but different y, alpha hat and beta hat will be computed each time for as many reps as are specified."]
[null,null,null,"Then importantly, these estimates of alpha and beta will for a distribution which is linked the fixed x's and the assumed distribution of u"]