(4) Find the equation of the line that best fits the following set of points in the sense of least squares: (-1, 1), (0, 0), (1, 1), (2, 0), (3, –8).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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(4) Find the equation of the line that best fits the following set of points in the sense of least squares:
(-1, 1), (0,0), (1, 1), (2,0), (3, –8).
(5) The average number g of goals per game scored by a hockey player seems to be related linearly two
factors: the number a1 of years of experience and the number x2 of goals in the preceding 10 games.
The accompanying data were collected on four players. Find the linear function g = ao+a1x1+a2x2
that best fits these data.
g
x2
0.8 5
0.8 | 3
3
4
0.6
1
0.4 | 2
1
Transcribed Image Text:(4) Find the equation of the line that best fits the following set of points in the sense of least squares: (-1, 1), (0,0), (1, 1), (2,0), (3, –8). (5) The average number g of goals per game scored by a hockey player seems to be related linearly two factors: the number a1 of years of experience and the number x2 of goals in the preceding 10 games. The accompanying data were collected on four players. Find the linear function g = ao+a1x1+a2x2 that best fits these data. g x2 0.8 5 0.8 | 3 3 4 0.6 1 0.4 | 2 1
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