(c) The table below presents the fitted values ŷ¿ = ĥ₁ + ˆ¿x; of dependent variable y according to the estimates 61, 62 of item (a). Compute the unknown values in the last row of tha table below, namelly: The sum of filtted values The sum of residuals Σ 5 i=1 1 ŷ. ê. The sum of x times the residuals 1 x. ê. 2 xi Image Image ŷ Image ế¿ Image ei Image xiei Image 0 6 5 1 1 0.1=0 1 2 3.7 -1.7 2.89 1 · −1.7 = −1.7 2 3 2.4 0.6 0.36 2.0.6 = 1.2 3 1 1.1 -0.1 0.01 . 3 -0.1-0.3 4 0 -0.2 0.2 0.04 4.0.2 = 0.8 Στί i Συ Σύ Σε Σε 2 Σxiêi 10 12 ? ? 4.3 ? (d) Using the values anove, show that ÿ = b₁ + ô₂ã. (e) Using the table above, show that y = ÿ, where y = 1.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(c) The table below presents the fitted values ŷ¿ = ĥ₁ + ˆ¿x; of dependent variable y according to the estimates 61, 62 of item (a).
Compute the unknown values in the last row of tha table below, namelly:
The sum of filtted values
The sum of residuals Σ
5
i=1
1 ŷ.
ê.
The sum of x times the residuals 1 x. ê.
2
xi
Image Image ŷ Image ế¿ Image ei
Image
xiei Image
0
6
5
1
1
0.1=0
1
2
3.7
-1.7
2.89
1 · −1.7 = −1.7
2
3
2.4
0.6
0.36
2.0.6 = 1.2
3
1
1.1
-0.1
0.01
.
3 -0.1-0.3
4
0
-0.2
0.2
0.04
4.0.2 = 0.8
Στί
i
Συ
Σύ
Σε
Σε
2
Σxiêi
10
12
?
?
4.3
?
(d) Using the values anove, show that ÿ = b₁ + ô₂ã.
(e) Using the table above, show that y = ÿ, where y = 1.
Transcribed Image Text:(c) The table below presents the fitted values ŷ¿ = ĥ₁ + ˆ¿x; of dependent variable y according to the estimates 61, 62 of item (a). Compute the unknown values in the last row of tha table below, namelly: The sum of filtted values The sum of residuals Σ 5 i=1 1 ŷ. ê. The sum of x times the residuals 1 x. ê. 2 xi Image Image ŷ Image ế¿ Image ei Image xiei Image 0 6 5 1 1 0.1=0 1 2 3.7 -1.7 2.89 1 · −1.7 = −1.7 2 3 2.4 0.6 0.36 2.0.6 = 1.2 3 1 1.1 -0.1 0.01 . 3 -0.1-0.3 4 0 -0.2 0.2 0.04 4.0.2 = 0.8 Στί i Συ Σύ Σε Σε 2 Σxiêi 10 12 ? ? 4.3 ? (d) Using the values anove, show that ÿ = b₁ + ô₂ã. (e) Using the table above, show that y = ÿ, where y = 1.
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