Final answer:
To find the residual, subtract the expected duration from the actual duration of the eruption. In this case, the residual is 0.283 minutes.
Step-by-step explanation:
To find the residual of the eruption that lasted 4.033 minutes and started 82 minutes after the previous eruption, we need to find the expected duration for that eruption based on the given data. We can do this by analyzing the scatter plot and estimating the wait time between eruptions. From the graph, we can interpolate and estimate the wait time to be approximately 85 minutes. Therefore, the expected duration for the eruption would be the average duration for eruptions with a wait time of 85 minutes, which is around 3.75 minutes.
To find the residual, we subtract the expected duration from the actual duration of the eruption:
Residual = Actual Duration - Expected Duration
Residual = 4.033 minutes - 3.75 minutes = 0.283 minutes
So, the residual for this eruption is 0.283 minutes.