There is evidence that eruptions of Old Faithful can best be predicted by knowing the duration of the previous eruption.
a) Describe what you see in the scatterplot of Intervals between eruptions vs. Duration of the previous eruption.

b) Write the equation of the line of best fit. Here’s the regression analysis:

c) Carefully explain what the slope of the line means in this context.
d) How accurate do you expect predictions based on this model to be? Cite statistical evidence.
e) If you just witnessed an eruption that lasted 4 minutes, how long do you predict you’ll have to wait to see the next eruption?
f) So you waited, and the next eruption came in 79 minutes. Use this as an example to define a residual.

Transcribed Image Text:

Interval (min) 87.5 75.0 62.5 50.0 2.25 3.75 Duration (min) + 5.25