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Assume that the relationship between test scores and the student-teacher ratio can be modeled as a linear function with an intercept of 698.9 and a slope of (-1.25). A decrease in the student-teacher ratio by 2 will: O result in a test score of 698.9 O reduce test scores by 2.5 on average O reduce test scores by 2.28 on average O increase test scores by 2.5 on average

Assume that the relationship between test scores and the student-teacher ratio can be modeled as a linear function with an intercept of 698.9 and a slope of (-1.25). A decrease in the student-teacher ratio by 2 will: O result in a test score of 698.9 O reduce test scores by 2.5 on average O reduce test scores by 2.28 on average O increase test scores by 2.5 on average

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Understanding the Relationship: Test Scores and Student-Teacher Ratios** Assume that the relationship between test scores and the student-teacher ratio can be modeled as a linear function with an intercept of 698.9 and a slope of (-1.25). A decrease in the student-teacher ratio by 2 will: - ○ Result in a test score of 698.9 - ○ Reduce test scores by 2.5 on average - ○ Reduce test scores by 2.28 on average - ○ Increase test scores by 2.5 on average This linear model suggests that for every unit decrease in the student-teacher ratio, the test scores are predicted to drop by 1.25 points. Thus, a decrease of 2 would lead to an average reduction in test scores of \(2 \times 1.25 = 2.5\) points.
Transcribed Image Text:**Understanding the Relationship: Test Scores and Student-Teacher Ratios** Assume that the relationship between test scores and the student-teacher ratio can be modeled as a linear function with an intercept of 698.9 and a slope of (-1.25). A decrease in the student-teacher ratio by 2 will: - ○ Result in a test score of 698.9 - ○ Reduce test scores by 2.5 on average - ○ Reduce test scores by 2.28 on average - ○ Increase test scores by 2.5 on average This linear model suggests that for every unit decrease in the student-teacher ratio, the test scores are predicted to drop by 1.25 points. Thus, a decrease of 2 would lead to an average reduction in test scores of \(2 \times 1.25 = 2.5\) points.
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