Question: Let the sample regression line be yi = b0 + b1xi + ei = yn i + ei 1i = 1, 2, c, n2 and

Let the sample regression line be yi = b0 + b1xi + ei = yn i + ei 1i = 1, 2,

c, n2 and let x and y denote the sample means for the independent and dependent variables, respectively.

a. Show that ei = yi - y - b1xi - x2

b. Using the result in part

a, show thatIM=

c. Using the result in part

a, show thatimage text in transcribed

d. Show that yn i - y = bi1xi - x2

e. Using the results in parts c and

d, show that SST = SSR + SSE

f. Using the result in part

a, show thatimage text in transcribed

IM=

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