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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
icon
Related questions
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
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
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 = β23 = 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.

Statistics homework question answer, Step 2, Image 1
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning