Let the sample regression line be

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

a. Show that

b. Using the result in part a, show that

c. Using the result in part a, show that

d. Show that

e. Using the results in parts c and d, show that SST = SSR + SSE

f. Using the result in part a, show that

Transcribed Image Text:

Yi y₁ = bo + b₁x; + e; = ŷ; + e; (i = 1, 2,...,n)