Suppose you fit the first-order model y=β0+β1x1+β2x2+β3x3+β4x4+β5x5+ε to n=30 data points and obtain SSE=0.33 and R2=0.93. Complete parts a and b. Question content area bottom Part 1 a. Do the values of SSE and R2 suggest that the model provides a good fit to the data? Explain. A. No. Since R2=0.93 is close to 1, this indicates the model does not provide a good fit. Also, SSE=0.33 is fairly small, which indicates the model does not provide a good fit. B. There is not enough information to decide. C. Yes. Since R2=0.93 is close to 1, this indicates the model provides a good fit. Also, SSE=0.33 is fairly small, which indicates the model provides a good fit.
Suppose you fit the first-order model y=β0+β1x1+β2x2+β3x3+β4x4+β5x5+ε to n=30 data points and obtain SSE=0.33 and R2=0.93. Complete parts a and b. Question content area bottom Part 1 a. Do the values of SSE and R2 suggest that the model provides a good fit to the data? Explain. A. No. Since R2=0.93 is close to 1, this indicates the model does not provide a good fit. Also, SSE=0.33 is fairly small, which indicates the model does not provide a good fit. B. There is not enough information to decide. C. Yes. Since R2=0.93 is close to 1, this indicates the model provides a good fit. Also, SSE=0.33 is fairly small, which indicates the model provides a good fit.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Suppose you fit the first-order model
y=β0+β1x1+β2x2+β3x3+β4x4+β5x5+ε
to
n=30
data points and obtain
SSE=0.33
and
R2=0.93.
Complete parts a and
b.
Question content area bottom
Part 1
a. Do the values of SSE and
R2
suggest that the model provides a good fit to the data? Explain.No. Since
R2=0.93
is close to 1, this indicates the model does not provide a good fit. Also,
SSE=0.33
is fairly small, which indicates the model does not provide a good fit.There is not enough information to decide.
Yes. Since
R2=0.93
is close to 1, this indicates the model provides a good fit. Also,
SSE=0.33
is fairly small, which indicates the model provides a good fit.
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Follow-up Question
b. Is the model of any use in predicting y? Test the null hypothesis
H0: β1=β2=...=β5=0
against the alternative hypothesis: At least one of the parameters
β1, β2, ... , β5
is nonzero. Use
α=0.10.
The test statistic is
enter your response here.
Solution
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