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. · f(x) 71. Xx −1 01 2 f(x) 4 220

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1YT: YOUR TURN 1 Calculate the least squares line for the following data. x 1 2 3 4 5 6 y 3 4 6 5 7 8
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Parts 61-64 Please

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.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
X
f(x)
X
f(x)
X
f(x)
X
f(x)
X
-1 0 23
f(x) 0 224
X
f(x)
X
f(x)
X
耐
-1
X
f(x)
0 1 2
224
-1 0 1 3
0 2 24
-1
1 23
0 224
-20 1 2
0 224
-2 −1 02
0 2 24
-1 0
2
1 2 2 3
1 0 1 3
1 2 23
-1 0 23
1 2 23
X -1 1 2 3
船
2 23
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
X
f(x)
耐
X
(x)
X -1 023
f(x)
4 22 0
X
f(x)
f(x)
-1 0 12
4 22 0
-1 0 1 3
4
22 0
X
-1
23
4 220
X -2 -1
X
-2 0 1 2
4 220
02
4 2 20
X
−1
1 2
f(x) 3 22 1
耐
-1
3
0 1 3
22 1
-1 0 23
3 22 1
-1 1 23
3 22 1
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. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. X f(x) X f(x) X f(x) X f(x) X -1 0 23 f(x) 0 224 X f(x) X f(x) X 耐 -1 X f(x) 0 1 2 224 -1 0 1 3 0 2 24 -1 1 23 0 224 -20 1 2 0 224 -2 −1 02 0 2 24 -1 0 2 1 2 2 3 1 0 1 3 1 2 23 -1 0 23 1 2 23 X -1 1 2 3 船 2 23 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. X f(x) 耐 X (x) X -1 023 f(x) 4 22 0 X f(x) f(x) -1 0 12 4 22 0 -1 0 1 3 4 22 0 X -1 23 4 220 X -2 -1 X -2 0 1 2 4 220 02 4 2 20 X −1 1 2 f(x) 3 22 1 耐 -1 3 0 1 3 22 1 -1 0 23 3 22 1 -1 1 23 3 22 1
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