Question

In: Statistics and Probability

Box, Hunter, and Hunter have analyzed the dispersion of an aerosol spray as a function of...

  1. Box, Hunter, and Hunter have analyzed the dispersion of an aerosol spray as a function of its age. The dispersion y is measured as the reciprocal of the number of particles in a unit volume. Age x is measured in minutes. The experiments were performed in random order, but their results are listed here in increasing order of x:

Age, x

Dispersion, y

8

6.16

22

9.88

35

14.35

40

24.06

57

30.34

73

32.17

78

42.18

87

43.23

98

48.76

  1. Find a 95% prediction interval estimate of the dispersion for an individual aerosol

spray of age 90.

  1. Which of the interval in h) and i) is the widest? Explain why.

  1. Find the correlation coefficient.

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