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Home > INT3 > Chapter 10 > Lesson 10.2.2 > Problem 10-136

10-136.
  1. As a field worker for the World Health Organization, you learn of outbreaks of viral diseases in two different parts of the world. For the next two weeks, you track the number of infected people in each region: Homework Help ✎

  2. Region A

    Date

    June 7

    June 10

    June 14

    June 18

    June 21

    # people infected

    120

    127

    144

    157

    170

    Region B

    Date

    June 7

    June 10

    June 13

    June 16

    June 19

    # people infected

    22

    28

    37

    48

    62

    1. For these two weeks, what is the average rate of change in the number of people infected for each region? In which region does it appear the disease is spreading faster?

    2. Considering the situation, what kind of model would be a better choice than average rate of change to represent the outbreak data?

    3. It takes 20 days to set up an emergency field hospital. You have your biohazard suit and medical supplies all packed, but which part of the world do you fly to? Justify your answer.

    4. Use a regression model to predict how many people will be sick in each region on the day you set up the hospital.

    5. How confident are you of your answer in part (c)?

Recall that the average rate of change is equivalent to the average slope.

Are the number of infected people initially increasing in a linear fashion?

Outbreaks of disease usually grow exponentially at first.

Notice that each region's data does not start or extend to the same date.

What is the pattern you can see if each were extended 20 more days? It may surprise you.

Use June 7 as day 0.

Region A: y = 117· 1.026x

How well does this apply to the real world?