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2. Consider fitting a model y = XB+ € where i~ id N(0,02). We have the following data: 1 0.7 1.2 X = 1 0.69 1.5 1 0.72 1.42 Y = (2.3, 1.8, 9.4) (a) Using the multivariate normal equations, calculate B = (B0, B1, B2). (b) Calculate the variance-covariance matrix of B. Based on your matrix, what is the variance of B₁? What is the covariance of Bo and B₁? (c) Suppose now that you care about the prediction for z given by: i. What is your best estimator for z? ii. What is the standard error for z? z = 0.880 +1.5231 Use python programming language to solve this question. Show steps by steps for me

2. Consider fitting a model y = XB+ € where i~ id N(0,02). We have the following data: 1 0.7 1.2 X = 1 0.69 1.5 1 0.72 1.42 Y = (2.3, 1.8, 9.4) (a) Using the multivariate normal equations, calculate B = (B0, B1, B2). (b) Calculate the variance-covariance matrix of B. Based on your matrix, what is the variance of B₁? What is the covariance of Bo and B₁? (c) Suppose now that you care about the prediction for z given by: i. What is your best estimator for z? ii. What is the standard error for z? z = 0.880 +1.5231 Use python programming language to solve this question. Show steps by steps for me

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 13E
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2. Consider fitting a model y = XB+ € where i~ id N(0,02). We have the following data: 1 0.7 1.2 X = 1 0.69 1.5 1 0.72 1.42 Y = (2.3, 1.8, 9.4) (a) Using the multivariate normal equations, calculate B = (B0, B1, B2). (b) Calculate the variance-covariance matrix of B. Based on your matrix, what is the variance of B₁? What is the covariance of Bo and B₁? (c) Suppose now that you care about the prediction for z given by: i. What is your best estimator for z? ii. What is the standard error for z? z = 0.880 +1.5231
Transcribed Image Text:2. Consider fitting a model y = XB+ € where i~ id N(0,02). We have the following data: 1 0.7 1.2 X = 1 0.69 1.5 1 0.72 1.42 Y = (2.3, 1.8, 9.4) (a) Using the multivariate normal equations, calculate B = (B0, B1, B2). (b) Calculate the variance-covariance matrix of B. Based on your matrix, what is the variance of B₁? What is the covariance of Bo and B₁? (c) Suppose now that you care about the prediction for z given by: i. What is your best estimator for z? ii. What is the standard error for z? z = 0.880 +1.5231
Use python programming language to solve this question. Show steps by steps for me
Transcribed Image Text:Use python programming language to solve this question. Show steps by steps for me
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