Answered: 25 20 15 10 -15.0 -7.5 0.0 7.5…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Old Faithful As you saw in an earlier chapter, Old
Faithful isn’t all that faithful. Eruptions do not occur at
uniform intervals and may vary greatly. Can we improve
our chances of predicting the time of the next eruption if
we know how long the previous eruption lasted?
a) Describe what you see in this scatterplot.

b) Write an appropriate hypothesis.

c) Here are a histogram of the residuals and the residu-
als plot. Do you think the assumptions for inference

are met? Explain.

d) State a conclusion based on this regression analysis:
Dependent variable is: Interval
R-squared = 77.0%
s = 6.159 with 222 - 2 = 220 degrees of freedom
Variable Coefficient SE(Coeff) t-ratio P-value
Intercept 33.9668 1.428 23.8 ...0.0001
Duration 10.3582 0.3822 27.1 ...0.0001
Variable Mean StdDev
Duration 3.57613 1.08395
Interval 71.0090 12.7992
e) The second table shows the summary statistics for the
two variables. Create a 95% confidence interval for
the mean length of time that will elapse following a
2-minute eruption.
f) You arrive at Old Faithful just as an eruption ends.

Witnesses say it lasted 4 minutes. Create a 95% pre-
diction interval for the length of time you will wait to

see the next eruption.

25
20
15
10
-15.0 -7.5 0.0 7.5
Residuals (min)
15.0
15.0
E 7.5
0.0
-7.5
60
70
80
Predicted (min)
# of Eruptions
Residuals (min)

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