20. Solve the following problem: A panel of educators in a large urban community wanted to evaluate the effects of educational resources on student performance. They examined the relationship between 12th-grade mean math SAT scores (Y) and the following independent vari- ables for a random sample of 25 high schools: X, = per pupil expenditure (in dollars); X = percentage of teachers with a master's degree or higher, and Xy pupi-teacher ratio. The sums of squares shown next can be used to summarize the key results from the regression of Yon X. Xp, and X SSY = 28,222.23 SSE = 2,248.23 a. Determine the ANOVA table for the regression of Yon X, X2, and X- b. Determine the R²-value for the model in part (a). Based on this value, comment on whether the three educational resource variables appear to be associated with student performance.
20. Solve the following problem: A panel of educators in a large urban community wanted to evaluate the effects of educational resources on student performance. They examined the relationship between 12th-grade mean math SAT scores (Y) and the following independent vari- ables for a random sample of 25 high schools: X, = per pupil expenditure (in dollars); X = percentage of teachers with a master's degree or higher, and Xy pupi-teacher ratio. The sums of squares shown next can be used to summarize the key results from the regression of Yon X. Xp, and X SSY = 28,222.23 SSE = 2,248.23 a. Determine the ANOVA table for the regression of Yon X, X2, and X- b. Determine the R²-value for the model in part (a). Based on this value, comment on whether the three educational resource variables appear to be associated with student performance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
Related questions
Question
![20. Solve the following problem:
A panel of educators in a large urban community wanted to evaluate the effects of
educational resources on student performance. They examined the relationship
between 12th-grade mean math SAT scores (Y) and the following independent vari-
ables for a random sample of 25 high schools: X, = per pupil expenditure (in dollars);
X = percentage of teachers with a master's degree or higher; and Xg = pupi-teacher
ratio. The sums of squares shown next can be used to summarize the key tesults from
the regression of Y on X, Xp, and Xy
SSY = 28,222.23 SSE = 2,248.23
a. Determine the ANOVA table for the regression of Yon X, Xz, and Xg-
b. Determine the R-value for the model in part (a). Based on this value, comment
on whether the three educational resource variables appear to be associated with
student performance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87d30fd7-f936-481f-a232-c2c05b629fee%2Fc2098d80-cf19-4a0b-bd29-bdf30945d9d9%2F6xbhssk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:20. Solve the following problem:
A panel of educators in a large urban community wanted to evaluate the effects of
educational resources on student performance. They examined the relationship
between 12th-grade mean math SAT scores (Y) and the following independent vari-
ables for a random sample of 25 high schools: X, = per pupil expenditure (in dollars);
X = percentage of teachers with a master's degree or higher; and Xg = pupi-teacher
ratio. The sums of squares shown next can be used to summarize the key tesults from
the regression of Y on X, Xp, and Xy
SSY = 28,222.23 SSE = 2,248.23
a. Determine the ANOVA table for the regression of Yon X, Xz, and Xg-
b. Determine the R-value for the model in part (a). Based on this value, comment
on whether the three educational resource variables appear to be associated with
student performance.
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