In Problems 5, 6, and 7, we will make some attempts at predicting how good a neighborhood's schoolsare (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 relatedto ethnicity (Asian, Black, Latino, White, and Diversity). Use the ANOVA table for the model (below) toanswer parts A-D.ANOVA TableF ValueSourceDFSum of SquaresMean SquaresPr> F40417418885759303180834.741.94606.82533e-23RegressionResidualTotal981927.11103A. State the null and alternative hypothesis for the ANOVA F Test for this multiple linear regressionmodelFind the F statistic and the p-value from the output above, and report their values belowB.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 modelRound your answer to 2 decimal places

Answered: In Problems 5, 6, and 7, we will make…

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

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

Expert Solution

Step 1

Hello there! there are more than 3 sub parts mentioned in the question. According to our policies cannot answer more than three sub parts. Kindly find the solution for parts a, b and c. If you have any doubt in remaining parts kindly make a new request mentioning the part which you need help in.

Step 2

Given ANOVA table for multiple linear regression model using all five of the variables is shown below.

In null hypothesis we generally say that the coefficients of all five variables which are slope parameters are equal to 0.

Null Hypothesis : β₁ = β₂ =β₃ = β₄ = β₅ = 0.

In alternative Hypothesis we say that the slope parameteres are not equal to 0

Alternative Hypothesis : β₁ ≠ β₂ ≠β₃ ≠ β₄ ≠ β₅ ≠ 0.