Math Problem Statement

nterpret the​ y-intercept. Select the correct choice​ and, if​ necessary, fill in the answer box to complete your choice. A. For a commute time of zero​ minutes, the index score is predicted to be    enter your response here. ​(Round to three decimal places as​ needed.) B. For every unit increase in commute​ time, the index score falls by    enter your response here​, on average. ​(Round to three decimal places as​ needed.) C. For every unit increase in index​ score, the commute time falls by    69.042​, on average. ​(Round to three decimal places as​ needed.) D. For an index score of​ zero, the commute time is predicted to be    enter your response here minutes. ​(Round to three decimal places as​ needed.) E. It is not appropriate to interpret the​ y-intercept because a commute time of zero minutes does not make sense and the value of zero minutes is much smaller than those observed in the data set. Commute Time (min),x Well-Being Index score,y 5 69.1 20 67.6 25 66.9 35 66.2 50 65.1 72 64.3 105 61.3

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Algebra

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Line of Best Fit
Slope-Intercept Theorem

Suitable Grade Level

Grades 9-12