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.

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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
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.
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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