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 residuals plot. Do you think the assumptions for inference are met? Explain.

d) State a conclusion based on this regression analysis:

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% prediction interval for the length of time you will wait to see the next eruption.

 

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