Question: Using a balanced design with a single quantitative factor with 'a' equally spaced observed levels, how would I do the following: Proof showing that the

Using a balanced design with a single quantitative factor with 'a' equally spaced observed levels, how would I do the following:

  • Proof showing that the grand sample mean ?y??..?? is an estimate of ??0?? using system of equations and content in the figure below
  • Derive the estimates of ??i?? for ?i=1,2,?,a?1? also using the figure below and the OLS solution for a proof: ????=(PP?)?1Py???

Using a balanced design with a single quantitative factor with 'a' equally

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