(a) Scatter diagram of the data:
Comment: The relation appears to be cubic.
(b)
Find the cubic function of best fit that models the relation between decade and number of major hurricanes.
The cubic function is .
(c)
Predict the number of major hurricanes that struck the united States between and :
From the given data, and represents .
Substitute in .
.
About major hurricanes.
(d)
Graph the function.
Graph of the cubic function :
(e)
Predict the number of major hurricanes that struck the united states between and :
According to the given data, and represents .
Substitute in .
.
Approximately major hurricanes.
(f) Yes.
(a) Scatter diagram of the data:
The relation appears to be cubic.
(b) .
(c) About major hurricanes.
(d)
Graph of the cubic function :
(e) Approximately major hurricanes.
(f) Yes.
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