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12.5 Exercise 23

Avg difficulty 2.5

Recently, the annual number of driver deaths per 100,000 for the selected age groups was as follows:

Age Number of Driver Deaths per 100,000
16–19 38
20–24 36
25–34 24
35–54 20
55–74 18
75+ 28
  1. For each age group, pick the midpoint of the interval for the x value. (For the 75+ group, use 80.)
  2. Using “ages” as the independent variable and “Number of driver deaths per 100,000” as the dependent variable, make a scatter plot of the data.
  3. Calculate the least squares (best–fit) line. Put the equation in the form of: ŷ = a + bx
  4. Find the correlation coefficient. Is it significant?
  5. Predict the number of deaths for ages 40 and 60.
  6. Based on the given data, is there a linear relationship between age of a driver and driver fatality rate?
  7. What is the slope of the least squares (best-fit) line? Interpret the slope.

OpenStax Introductory Statistics 2e, 12.5 Prediction, exercise 23

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.