Data Analysis The following data represent the percent of all drives by age who have been stopped by the police for any reason within the past year. The median age represents the midpoints of the upper and lower limit for the age range. Age Range Median Age, x Percent 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 your graphing utility, draw a scatter diagram of the data treating median age, x , as the independent variable. Determine a model that you feel best describes the relation between median age and present stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models. Provide a justification for the model you selected in part (b).
Data Analysis The following data represent the percent of all drives by age who have been stopped by the police for any reason within the past year. The median age represents the midpoints of the upper and lower limit for the age range. Age Range Median Age, x Percent 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 your graphing utility, draw a scatter diagram of the data treating median age, x , as the independent variable. Determine a model that you feel best describes the relation between median age and present stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models. Provide a justification for the model you selected in part (b).
Solution Summary: The author explains how to draw a scatter diagram of the data treating median age, x, as the independent variable.
Data Analysis The following data represent the percent of all drives by age who have been stopped by the police for any reason within the past year. The median age represents the midpoints of the upper and lower limit for the age range.
Age Range
Median Age,
x
Percent 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 your graphing utility, draw a scatter diagram of the data treating median age,
x
, as the independent variable.
Determine a model that you feel best describes the relation between median age and present stopped. You may choose from among linear, quadratic, cubic, exponential, logarithmic, and logistic models.
Provide a justification for the model you selected in part (b).
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
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