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A researcher was investigating variables that might be associated with the academic performance of high school students. He examined data from 1990 for each of the 53 cities randomly selected in the US. The data included the average Math SAS score of all high school seniors in the city that took the exam (labeled as the variable SAT-M), the average number of dollars per pupil spent on education by the city (labeled as the variable $Per Pupil), and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking).   Find the 95% confidence interval for B1, the coefficient of the variable $Per Pupil and find the proportion of the variation in the variable SAT-M is explained by the explanatory variables $Per Pupil and %Taking?

A researcher was investigating variables that might be associated with the academic performance of high school students. He examined data from 1990 for each of the 53 cities randomly selected in the US. The data included the average Math SAS score of all high school seniors in the city that took the exam (labeled as the variable SAT-M), the average number of dollars per pupil spent on education by the city (labeled as the variable $Per Pupil), and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking).   Find the 95% confidence interval for B1, the coefficient of the variable $Per Pupil and find the proportion of the variation in the variable SAT-M is explained by the explanatory variables $Per Pupil and %Taking?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A researcher was investigating variables that might be associated with the academic performance of high school students. He examined data from 1990 for each of the 53 cities randomly selected in the US. The data
included the average Math SAS score of all high school seniors in the city that took the exam (labeled as the variable SAT-M), the average number of dollars per pupil spent on education by the city (labeled as the
variable $Per Pupil), and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking).

 

Find the 95% confidence interval for B1, the coefficient of the variable $Per Pupil and find the proportion of the variation in the variable SAT-M is explained by the explanatory variables $Per Pupil and %Taking?

As part of his investigation, he ran the following multiple linear regression model SAT-M = Bo+B1($Per Pupil) + (%Taking) This model was fit to the data using the method of least-squares. The following results were obtained: Sum of Squares 45915.0 13835.1 Source Model Error Variable Constant $Per Pupil %Taking DF 2 50 Parameter Estimate 514.652 0.00639 -1.49221 Standard Error of Parameter Estimate 10.30 0.0025 0.1419
Transcribed Image Text:As part of his investigation, he ran the following multiple linear regression model SAT-M = Bo+B1($Per Pupil) + (%Taking) This model was fit to the data using the method of least-squares. The following results were obtained: Sum of Squares 45915.0 13835.1 Source Model Error Variable Constant $Per Pupil %Taking DF 2 50 Parameter Estimate 514.652 0.00639 -1.49221 Standard Error of Parameter Estimate 10.30 0.0025 0.1419
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