MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In Problems 5, 6, and 7, we will make some attempts at predicting how good a neighborhood's schools
are (median API) from the other variables in the dataset.
Problem 5. Our first attempt is a multiple linear regression model using all five of the variables related
to ethnicity (Asian, Black, Latino, White, and Diversity). Use the ANOVA table for the model (below) to
answer parts A-D.
ANOVA Table
F Value
Source
DF
Sum of Squares
Mean Squares
Pr> F
404174
188857
593031
80834.7
41.9460
6.82533e-23
Regression
Residual
Total
98
1927.11
103
A. State the null and alternative hypothesis for the ANOVA F Test for this multiple linear regression
model
Find the F statistic and the p-value from the output above, and report their values below
B.
C.
Based on your answer to part B, is the overall model significant at the 1% level?
Find the squared multiple correlation coefficient (R2) for this multiple linear regression model
Round your answer to 2 decimal places
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Transcribed Image Text:In Problems 5, 6, and 7, we will make some attempts at predicting how good a neighborhood's schools are (median API) from the other variables in the dataset. Problem 5. Our first attempt is a multiple linear regression model using all five of the variables related to ethnicity (Asian, Black, Latino, White, and Diversity). Use the ANOVA table for the model (below) to answer parts A-D. ANOVA Table F Value Source DF Sum of Squares Mean Squares Pr> F 404174 188857 593031 80834.7 41.9460 6.82533e-23 Regression Residual Total 98 1927.11 103 A. State the null and alternative hypothesis for the ANOVA F Test for this multiple linear regression model Find the F statistic and the p-value from the output above, and report their values below B. C. Based on your answer to part B, is the overall model significant at the 1% level? Find the squared multiple correlation coefficient (R2) for this multiple linear regression model Round your answer to 2 decimal places
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