Parts 65-68 please... Please do not solve by simply graphing. This question comes from a linear algebra course
Transcribed Image Text:Practice problems for Test 2 (page 3 of 3)
Problem IV Find a linear polynomial f(x) which is the best least squares fit to the
following data.
x -1 0 1 2
0
224
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
X -1
0 1 3
f(x) 0 224
X
-1
f(x) 0 2
f(x)
X
f(x)
22
耐
X
023
F (2)
4
-1 1 23
0 224
X
-2 -1
2
(x) 0 2 2 4
-2012
0 224
X -1 013
1 223
-1
01 2
1 2 23
-1 023
1
2 23
-1
12 3
1 223
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
X
f(x)
X
(x) 4
F (2)
X -1
4
-1
f(x) 4
x
-1 01 2
4 2 2 0
X
f(x)
-1
耐
X
X
f(x)
X
f(x)
0 13
220
023
2 2 0
-2 01 2
4 22 0
1 23
220
-1
3
-2 -1
02
4 2 20
-1 0 1 2
3 22 1
0 13
22 1
-1 023
3 2 2 1
-1
1 2 3
3 22 1
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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