Using the California Department of Education's API 2000 dataset with sample size be 45. This data file contains a measure of school academic performance as well as other attributes of the elementary schools, such as, class size, enrollment, poverty, etc. Let's dive right in and perform regression analysis using the variables api00, acs_k3, meals and full. Fi the regression model and get the following SAS output. The following are the outputs from SAS.
Using the California Department of Education's API 2000 dataset with sample size be 45. This data file contains a measure of school academic performance as well as other attributes of the elementary schools, such as, class size, enrollment, poverty, etc. Let's dive right in and perform regression analysis using the variables api00, acs_k3, meals and full. Fi the regression model and get the following SAS output. The following are the outputs from SAS.
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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Parts D&E
![Using the California Department of Education's API 2000 dataset with
sample size be 45. This data file contains a measure of school academic
performance as well as other attributes of the elementary schools, such
as, class size, enrollment, poverty, etc. Let's dive right in and perform a
regression analysis using the variables api00, acs_k3, meals and full. Fit
the regression model and get the following SAS output.
The following are the outputs from SAS.
Source
Model
Error
Corrected Total
Variable
Intercept
acs_k3
meals
full
Label
DF
3
a
b
Intercept
avg class size k-3
pct free meals.
pct full credential
Sum of
Squares
DF
Analysis of Variance
1
1
1
1
с
1271
e
Mean
Square
875
d
Parameter Estimates
Parameter
Estimate
875.05923
-2.50651
-3.31802
0.12031
Answer the question using the SAS output.
F Value
f
Standard
Error
31.03465
1.59469
0.23408
0.12072
Pr > F
g
t Value
32.08
-1.92
-24.04
1.20
Pr > |t|
<.0001
0.0553
<.0001
0.2321](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dfcde0a-cc8e-4f7e-b5e2-9ec6ad36a3c9%2F126ae169-8770-4008-a34e-128b372a0ef3%2Fqx3ub1h_processed.png&w=3840&q=75)
Transcribed Image Text:Using the California Department of Education's API 2000 dataset with
sample size be 45. This data file contains a measure of school academic
performance as well as other attributes of the elementary schools, such
as, class size, enrollment, poverty, etc. Let's dive right in and perform a
regression analysis using the variables api00, acs_k3, meals and full. Fit
the regression model and get the following SAS output.
The following are the outputs from SAS.
Source
Model
Error
Corrected Total
Variable
Intercept
acs_k3
meals
full
Label
DF
3
a
b
Intercept
avg class size k-3
pct free meals.
pct full credential
Sum of
Squares
DF
Analysis of Variance
1
1
1
1
с
1271
e
Mean
Square
875
d
Parameter Estimates
Parameter
Estimate
875.05923
-2.50651
-3.31802
0.12031
Answer the question using the SAS output.
F Value
f
Standard
Error
31.03465
1.59469
0.23408
0.12072
Pr > F
g
t Value
32.08
-1.92
-24.04
1.20
Pr > |t|
<.0001
0.0553
<.0001
0.2321
![(a) Please write down the estimated linear model for this data.
(b) Above is a partial ANOVA Table from fitting this model. Find the missing
values a, b, c, d, e, f and g.
(c) State the null and alternative hypothesis of the overall F test.
(d) Based on the output, please draw conclusion for the above test.
(e) Calculate R^2 based on the ANOVA table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dfcde0a-cc8e-4f7e-b5e2-9ec6ad36a3c9%2F126ae169-8770-4008-a34e-128b372a0ef3%2Ftucyrxjxj_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Please write down the estimated linear model for this data.
(b) Above is a partial ANOVA Table from fitting this model. Find the missing
values a, b, c, d, e, f and g.
(c) State the null and alternative hypothesis of the overall F test.
(d) Based on the output, please draw conclusion for the above test.
(e) Calculate R^2 based on the ANOVA table.
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