Suppose you fit the first-order model y = Bo + B, x4 + B,x, + B3x3 + Baxa + B5X5 + e to n= 28 data points and obtain SSE = 0.33 and R = 0.94. Complete parts a and b. a. Do the values of SSE and R suggest that the model provides a good fit to the data? Explain. Yes. Since R = 0.94 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. B. There is not enough information to decide. OC. No. Since R = 0.94 is close to 1, this indicates the model does not provide a good fit. Also, SSE = 0.33 model does not provide a good fit. fairly small, which indicates the b. Is the model of any use in predicting y? Test the null hypothesis Ho: B1 = B2 =...= B5 = 0 against the alternative hypothesis: At least one of the parameters B1, B2, ... , B5 is nonzero. Use a = 0.05. The test statistic is. (Round to two decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Suppose you fit the first-order model y = Po + B, x, + B2x2 + B3X3 + B,x4 + B5X5 + ɛ to n=28 data points and obtain SSE = 0.33 and R = 0.94. Complete
parts a and b.
a. Do the values of SSE and R suggest that the model provides a good fit to the data? Explain.
A.
Yes. Since R = 0.94 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.
B. There is not enough information to decide.
No. Since R = 0.94 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. Is the model of any use in predicting
Test the null hypothesis Ho: B, = B2 = ... = B5 = 0 against the alternative hypothesis: At least
of the
%3D
parameters B1, B2,
B5 is nonzero. Use a = 0.05.
The test statistic is
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F502330eb-9fa1-41eb-8716-374edceb5782%2F9c3918fc-2cdf-4e9a-9323-5676408732fc%2Ficb1cl_processed.png&w=3840&q=75)
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