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Solved: An Unhealthy Commute(Refer to Unhealthy CommuteThe
Chapter 3, Problem 17AYU(choose chapter or problem)
An Unhealthy Commute (Refer to Problem 25, Section 4.1) The following data represent commute times (in minutes) and score on a well-being survey.
\(\begin{array}{l}
\begin{array}{cc}
\begin{array}{l}
\text { Commute Time } \\
\text { (minutes), } \boldsymbol{x}
\end{array} & \begin{array}{l}
\text { Gallup-Healthways Well-Being } \\
\text { Index Composite Score, } \boldsymbol{y}
\end{array} \\
\hline 5 & 69.2 \\
\hline 15 & 68.3 \\
\hline 25 & 67.5 \\
\hline 35 & 67.1 \\
\hline 50 & 66.4 \\
\hline 72 & 66.1 \\
\hline 105 & 63.9 \\
\hline
\end{array}\\
\text { Source: The Gallup Organization }
\end{array}\)
(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 is 30 minutes.
(d) Suppose Barbara has a 20-minute commute and scores 67.3 on the survey. Is Barbara more “well-off” than the typical individual who has a 20-minute commute?
Questions & Answers
QUESTION:
An Unhealthy Commute (Refer to Problem 25, Section 4.1) The following data represent commute times (in minutes) and score on a well-being survey.
\(\begin{array}{l}
\begin{array}{cc}
\begin{array}{l}
\text { Commute Time } \\
\text { (minutes), } \boldsymbol{x}
\end{array} & \begin{array}{l}
\text { Gallup-Healthways Well-Being } \\
\text { Index Composite Score, } \boldsymbol{y}
\end{array} \\
\hline 5 & 69.2 \\
\hline 15 & 68.3 \\
\hline 25 & 67.5 \\
\hline 35 & 67.1 \\
\hline 50 & 66.4 \\
\hline 72 & 66.1 \\
\hline 105 & 63.9 \\
\hline
\end{array}\\
\text { Source: The Gallup Organization }
\end{array}\)
(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 is 30 minutes.
(d) Suppose Barbara has a 20-minute commute and scores 67.3 on the survey. Is Barbara more “well-off” than the typical individual who has a 20-minute commute?
ANSWER:Step 1 of 6
The following table are based on the results of the survey, which represent commute time to work (in minutes) and well-being index score.
\(\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Commute time (in } \\
\min )
\end{array} & \begin{array}{l}
\text { Well being index composite } \\
\text { score. }
\end{array} \\
\hline 5 & 69.2 \\
\hline 15 & 68.3 \\
\hline 25 & 67.5 \\
\hline 35 & 67.1 \\
\hline 50 & 66.4 \\
\hline 72 & 66.1 \\
\hline 105 & 63.9 \\
\hline
\end{array}\)