MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please help me better understand word problem. A researcher was investigating variables that might be associated with the academic performance of high school students. 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 $Per Pupil), and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking). As part of the researcher's investigation, he ran the following multiple linear regression model as SAT-M=Beta0 + Beta1($Per Pupil) + Beta2(%Taking). This model was fit to the data using the method of least-squares, results shown inside of table within photo.  

Question: What's the 95% confidence interval for Beta1, (coefficient of variable $PerPupil). Then determine the interpretation for Beta2 (coefficient of %Taking variable).

Source
Model
Error
Variable
Constant
$Per Pupil
% Taking
Sum of Squares
45915.0
13835.1
Parameter
Estimate
514.652
0.00639
-1.49221
df
2
50
Standard Error of Parameter
Estimate
10.30
0.0025
0.1419
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Transcribed Image Text:Source Model Error Variable Constant $Per Pupil % Taking Sum of Squares 45915.0 13835.1 Parameter Estimate 514.652 0.00639 -1.49221 df 2 50 Standard Error of Parameter Estimate 10.30 0.0025 0.1419
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