Several Years Ago, a Large City Undertook a Major Effort

question 169

Multiple Choice

Several years ago, a large city undertook a major effort to encourage carpooling in order to reduce traffic congestion. The accompanying table shows the number of carpoolers, in thousands, from 2007 to 2012 . Use regression to obtain a function f(x) =a+b ln x that models the data, where x=1 corresponds to 2007, x=2 to 2008, and so on. Round the constants a and b to the nearest hundredth.
$\begin{array} { l | c | c | c | c | c | c } \text { Year } & 2007 & 2008 & 2009 & 2010 & 2011 & 2012 \\\hline \text { Carpoolers } & 3.9 & 8.1 & 10.3 & 11.8 & 12.6 & 13.2\end{array}$

• A) f(x)=4.22+5.25ln x
• B) f(x)=4.33+5.17ln x
• C) f(x)=4.29+5.14ln x
• D) f(x)=4.40+5.32ln x

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Definitions:

Pay-for Knowledge

A compensation strategy that rewards employees for acquiring and applying knowledge and skills pertinent to their job.

Gain-sharing

A compensation strategy that shares financial gains from improved performance or productivity with employees.

Group-oriented

A trait or approach emphasizing teamwork, collaboration, and prioritizing the goals and success of the group over individual achievements.

Incentive Systems

Structured programs designed to encourage and reward specific behaviors among a group of individuals.