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Find the equation y = Bo + B₁ of the least-squares line that best fits the five points (-3, 4), (-1,2), (1, 1), (3,-2), and (5,-4).

Find the equation y = Bo + B₁ of the least-squares line that best fits the five points (-3, 4), (-1,2), (1, 1), (3,-2), and (5,-4).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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= Find the equation y Bo + B₁ of the least-squares line that best fits the five points (-3,4), (-1,2), (1, 1), (3,-2), and (5,-4).
Transcribed Image Text:= Find the equation y Bo + B₁ of the least-squares line that best fits the five points (-3,4), (-1,2), (1, 1), (3,-2), and (5,-4).
Answer The best-fit line is y=-x I. be should
Transcribed Image Text:Answer The best-fit line is y=-x I. be should
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How did you get 1=5a+5b

I understand how you got all the values for the formula but why did you write an=5a?

five points x - 3 - 1 1 5 [x = 5 Step 2 where Normal ea. Line By →7 & (-3,4); (-1,2); (1,1), (3,-2); (5,-u) y x² xy 9 -12 1 1 9 25 [x²=45 4 2 1 -2 -4 Σy = 1 Line - 39 = a = y = are y = a + bx Sa+5b 5a +45 b y = 6/15-x 615 -2 1 -6 -20 Σxy=-39 Σy = (an bex Σxy = a[x+b[x² - 40b = uo → b = -1 -x 5 Answer }=
Transcribed Image Text:five points x - 3 - 1 1 5 [x = 5 Step 2 where Normal ea. Line By →7 & (-3,4); (-1,2); (1,1), (3,-2); (5,-u) y x² xy 9 -12 1 1 9 25 [x²=45 4 2 1 -2 -4 Σy = 1 Line - 39 = a = y = are y = a + bx Sa+5b 5a +45 b y = 6/15-x 615 -2 1 -6 -20 Σxy=-39 Σy = (an bex Σxy = a[x+b[x² - 40b = uo → b = -1 -x 5 Answer }=
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