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L Consider the following five observations. You are to do all the parts of this exercise using only a calculator. (x – x)? y - y (x – 1) (y – y) y 3 Ex; = Eyi E(x; – x) = E(xi – x)? = E(yi – 7) = E(x; – x)(y; – y) = %3D %3D (a) Complete the entries in the table. Put the sums in the last row. What are the sample means ī and y? (b) Calculate bị and b2 using (27) and (2.8) and state their interpretation. (c) Compute E-1, E-1x;Yi. Using these numerical values, show that (4) (4) lecture Notos, Ch.9 Σ(- Σ- and Σ(- ) 0) -) -Σ- N (d) Use the least squares estimates from part (b) to compute the fitted values of y, and complete the remainder of the table below. Put the sums in the last row. Xị Yi 5 2 2 2 Ex; = Ey; = Eŷi = Exiê; =

L Consider the following five observations. You are to do all the parts of this exercise using only a calculator. (x – x)? y - y (x – 1) (y – y) y 3 Ex; = Eyi E(x; – x) = E(xi – x)? = E(yi – 7) = E(x; – x)(y; – y) = %3D %3D (a) Complete the entries in the table. Put the sums in the last row. What are the sample means ī and y? (b) Calculate bị and b2 using (27) and (2.8) and state their interpretation. (c) Compute E-1, E-1x;Yi. Using these numerical values, show that (4) (4) lecture Notos, Ch.9 Σ(- Σ- and Σ(- ) 0) -) -Σ- N (d) Use the least squares estimates from part (b) to compute the fitted values of y, and complete the remainder of the table below. Put the sums in the last row. Xị Yi 5 2 2 2 Ex; = Ey; = Eŷi = Exiê; =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 43EQ
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please answer the question in the attached picture with work shown, thanks!

#1 A,B,C

Consider the following five observations. You are to do all the parts of this exercise using only a calculator. (x – x)? y - y (x – x) (y – y) y 3 3 ΣΧ Ey; E(x; – x) = E(xi – x)? = Σ-) - E(x; – x)(yi – y) = (a) Complete the entries in the table. Put the sums in the last row. What are the sample means and y? (b) Calculate bị and b2 using (27) and (28) and state their interpretation. (4) + lecture Notos, Ch.9 (5) (c) Compute E-1X, E-1xiyi. Using these numerical values, show that (x; – x)? = Ex} - Nx and E(x; - x)(y; – F) = Exy; – Nxy (d) Use the least squares estimates from part (b) to compute the fitted values of y, and complete the remainder of the table below. Put the sums in the last row. Xi Yi 3 5 2 2 2 Ex; = Eyi = Eŷi = E = Exiê; =
Transcribed Image Text:Consider the following five observations. You are to do all the parts of this exercise using only a calculator. (x – x)? y - y (x – x) (y – y) y 3 3 ΣΧ Ey; E(x; – x) = E(xi – x)? = Σ-) - E(x; – x)(yi – y) = (a) Complete the entries in the table. Put the sums in the last row. What are the sample means and y? (b) Calculate bị and b2 using (27) and (28) and state their interpretation. (4) + lecture Notos, Ch.9 (5) (c) Compute E-1X, E-1xiyi. Using these numerical values, show that (x; – x)? = Ex} - Nx and E(x; - x)(y; – F) = Exy; – Nxy (d) Use the least squares estimates from part (b) to compute the fitted values of y, and complete the remainder of the table below. Put the sums in the last row. Xi Yi 3 5 2 2 2 Ex; = Eyi = Eŷi = E = Exiê; =
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