3. Solve the problem and show that ŝ = (X¹X)`¹X¹Y. You will need the following results:TXә [BTXTXB] = 28¹ XTX;aßə93 [BTX¹Y] = YTX;aßƏ[YT XB] = YT X.aßConsidering the problem this way allows us to solve the first order conditions all at once.

Here we find what we need to do.

Answered: -1 show that ŝ = (X¹X)¯¹ XTY. ·

Math

Statistics

-1 show that ŝ = (X¹X)¯¹ XTY. ·

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Question

3. Solve the problem and show that ŝ = (X¹X)`¹X¹Y. You will need the following results:
TX
ә [BTXTXB] = 28¹ XTX;
aß
ə
93 [BTX¹Y] = YTX;
aß
Ə
[YT XB] = YT X.
aß
Considering the problem this way allows us to solve the first order conditions all at once.

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