The following data represent the percent of all drivers by age who have been stopped by the policy for any reason within the past year. The median age represents the midpoint of the upper and lower limit for the age range. Age Range Median Age, x Percentage Stopped, y 16 − 19 17.5 18.2 20 − 29 24.5 16.8 30 − 39 34.5 11.3 40 − 49 44.5 9.4 50 − 59 54.5 7.7 ≥ 60 69.5 3.8 Using a graphing utility, draw a scatter plot of the data treating median age, x , as the independent variable. Determine a model that best describes the relation between median age and percent stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models. Provide a justification for the model that you selected in part (b).
The following data represent the percent of all drivers by age who have been stopped by the policy for any reason within the past year. The median age represents the midpoint of the upper and lower limit for the age range. Age Range Median Age, x Percentage Stopped, y 16 − 19 17.5 18.2 20 − 29 24.5 16.8 30 − 39 34.5 11.3 40 − 49 44.5 9.4 50 − 59 54.5 7.7 ≥ 60 69.5 3.8 Using a graphing utility, draw a scatter plot of the data treating median age, x , as the independent variable. Determine a model that best describes the relation between median age and percent stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models. Provide a justification for the model that you selected in part (b).
Solution Summary: The author analyzes the scattered plot of given data using graphing utility by treating median age x as the independent variable.
The following data represent the percent of all drivers by age who have been stopped by the policy for any reason within the past year. The median age represents the midpoint of the upper and lower limit for the age range.
Age
Range
Median
Age,
x
Percentage
Stopped, y
16
−
19
17.5
18.2
20
−
29
24.5
16.8
30
−
39
34.5
11.3
40
−
49
44.5
9.4
50
−
59
54.5
7.7
≥
60
69.5
3.8
Using a graphing utility, draw a scatter plot of the data treating median age,
x
, as the independent variable.
Determine a model that best describes the relation between median age and percent stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models.
Provide a justification for the model that you selected in part (b).
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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