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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
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 5A5 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 $Per Pupil}, and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking). As part of his investigation, he ran the following multiple linear regression model SAT-M = 30 +ll$Per Pupil) + 32(%Taking) This model was t to the data using the method of least-squares. The following results were obtained from SAS. Sum of Squares 45915.0 13835.1 . Parameter Standard Error of Parameter Variable Estimate Estimate Constant 514.652 10.30 $Per Pupil 0.00639 0.0025 %Tal(ing -1.49221 0.1419
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