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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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 alt="The following estimated regression equation based on 10 observations was presented.
ŷ= 29.1230+ 0.5806x + 0.4380x2
The values of SST and SSR are 6,725.125 and 6,223.375, respectively.
(a) Find SSE.
SSE=
(b) Compute R2. (Round your answer to three decimal places.)
R²
=
(c) Compute R. (Round your answer to three decimal places.)
R2=
(d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
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Transcribed Image Text:The following estimated regression equation based on 10 observations was presented.
ŷ= 29.1230+ 0.5806x + 0.4380x2
The values of SST and SSR are 6,725.125 and 6,223.375, respectively.
(a) Find SSE.
SSE=
(b) Compute R2. (Round your answer to three decimal places.)
R²
=
(c) Compute R. (Round your answer to three decimal places.)
R2=
(d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
O The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
O The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
Tab
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8
O
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F
G
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K
psLk
N
x
C
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N
M
Fn
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72°F
8:50
4/12/
Alt
Ctri
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