The data below represent commute times (in minutes) and scores on a well-being survey. Commute Time (minutes), x 5 15 25 35 60 84 105 Well-Being Index Score, y 69.2 68.4 67.7 67.3 66.3 66.0 64.6 (a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) Predict the well-being index of a person whose commute time is 30 minutes.

The data below represent commute times (in minutes) and scores on a well-being survey. Commute Time (minutes), x 5 15 25 35 60 84 105 Well-Being Index Score, y 69.2 68.4 67.7 67.3 66.3 66.0 64.6 (a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable. (b) Interpret the slope and y-intercept, if appropriate. (c) Predict the well-being index of a person whose commute time is 30 minutes.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Commute Time (minutes), x		5	15	25	35	60	84	105
Well-Being Index Score, y		69.2	68.4	67.7	67.3	66.3	66.0	64.6

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