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Show that: n Rsq (h) Σ(yi – ÿ)² + (ÿ − h)² n i=1 Hint: At some point, you will need to use your result from part (a). Why does the result in (c) prove that h* = Mean(y1, Y2,⋅ , ..., Yn) minimizes Rsq(h)?

Show that: n Rsq (h) Σ(yi – ÿ)² + (ÿ − h)² n i=1 Hint: At some point, you will need to use your result from part (a). Why does the result in (c) prove that h* = Mean(y1, Y2,⋅ , ..., Yn) minimizes Rsq(h)?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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part d

Show that: n Rsq (h) Σ(yi – ÿ)² + (ÿ − h)² n i=1 Hint: At some point, you will need to use your result from part (a). Why does the result in (c) prove that h* = Mean(y1, Y2,⋅ , ..., Yn) minimizes Rsq(h)?
Transcribed Image Text:Show that: n Rsq (h) Σ(yi – ÿ)² + (ÿ − h)² n i=1 Hint: At some point, you will need to use your result from part (a). Why does the result in (c) prove that h* = Mean(y1, Y2,⋅ , ..., Yn) minimizes Rsq(h)?
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