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Let the sample regression line be: yi = bo+bxi+e;=; +e; (i = 1, 2, ..., n) and let x and y denote the sample
Let the sample regression line be: yi = bo+bxi+e;=; +e; (i = 1, 2, ..., n) and let x and y denote the sample means for the independent and dependent variables, respectively. a. Show that: eyi--b(x-x) b. Using the result in part a, show that: = 0 i=1 c. Using the result in part a, show that n n n e=(yi) - b (x; - x) i=1 i=1 Egla Mansi i=1 ES &: Two Variable Regression Analysis Exercise 9 continuation ES 8 Stat Spring.zip d. Show that: i - y = b; (xi- x) e. Using the results in parts c and d, show that: SST = SSR + SSE f. Using the result in part a, show that: n ei(xi-x)=0 i=1
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