In a small-scale regression study, five observations on Y were obtained corresponding to X=1,4,10,11, and 14. Assume that σ=0.6,B0=5,B1=3 a. What are the expected values off MSR and MSE here?
b. For derermining whether or not a regression relation exists, would it have been better or worse to have made the five observations at X=6,7,8,9, and 10? Why? Would the same answer apply if the principal purpose were to estimate the mean response for X=8? Discuss.
Yi=B0+B1Xi+ϵi
Y^i=B^0+B^1Xi
MSR=∑(Y^i−Y¯¯¯¯)2
MSE=∑(Yi−Y^i)2n−2=∑(B0+B1Xi+ϵi−B^0− B^1Xi)2n−2
I'm still doesn't understand what they want, they want
E(MSE);E(MSR) ?
What they mean by expected values?