Problem

Using the data of Exercise 11.16, construct a 95% prediction interval for the log biologic...

Using the data of Exercise 11.16, construct a 95% prediction interval for the log biological recovery percentage at 30 minutes. Compare your result to the confidence interval on E(y) of Exercise 11.24.

Exercise 11.24

Refer to Exercise 11.16. For the least-squares equation

estimate the mean log biological recovery percentage at 30 minutes, using a 95% confidence interval.

Exercise 11.16

The extent of disease transmission can be affected greatly by the viability of infectious organisms suspended in the air. Because of the infectious nature of the disease under study, the viability of these organisms must be studied in an airtight chamber. One way to do this is to disperse an aerosol cloud, prepared from a solution containing the organisms, into the chamber. The biological recovery at any particular time is the percentage of the total number of organisms suspended in the aerosol that are viable. The data in the accompanying table are the biological recovery percentages computed from 13 different aerosol clouds. For each of the clouds, recovery percentages were determined at different times.

a. Plot the data.


b. Because there is some curvature, use the log of the biological recovery to try to linearize the data.

Cloud

Time, x (in minutes)

Biological Recovery (%)

1

0

70.6

2

5

52.0

3

10

33.4

4

15

22.0

5

20

18.3

6

25

15.1

7

30

13.0

8

35

10.0

9

40

9.1

10

45

8.3

11

50

7.9

12

55

7.7

13

60

7.7

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