The loudness of sound can be measured by using a decibel scale. Some examples of sounds at various sound levels are listed in Table 55.

The sound level of music from a Pioneer MT-2000® stereo- CD-receiver system is controlled by the system€™s volume number. The sound levels of music for various volume numbers are shown in Table 56.

Let S be the sound level (in decibels) for a volume number n.
a. Construct a scatterplot by hand.
b. Is there a linear association, a nonlinear association, or neither?
c. Draw a linear model on your scatterplot.
d. Use your model to predict the sound level when the volume number is 19.
e. Use your model to predict for what volume number the sound level is comparable to that of a vacuum cleaner at 10 ft (see Table 55).

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Table 55 Examples of Sound Levels Sound Leve (decibels) Example 27 50 71 82 98 Faintest sound heard by humans Bedroom at night Dishwasher next room Vacuum cleaner at 10 ft Garbage disposal at 3 f Inside subway train Rock band Table 56 Sound Levels of Music Played by a Stereo Volume Number Sound Level (decibels) 10 74 78 14 16