linear statistics problems

The below document is the problem sets. Please help me with problem 1-6.(which is the book problem, no need for the R homework.)

20180120075120sta_106_winter_2017_hw_2_due_january_26th

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QUESTION 1
a .Estimate all values of µi
– Below average (group I) = 38
– Average (group ii) = 32
– Above average (group iii) = 24

b. mean = (38+32+24)/3 = 31.33ans

c. SSTO, SSE, SSA
SSTO = (38-32)2+(32-32)2+(24-32)2
62+(-8)2=100
SSTO = 100ans
The sample std error is the std error where the overall = 6.88/sqt24 = 1.404, therefore 1.404 will act as SSE (Sum of squares of errors). SSE = 1.404ans

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