The data appear to have a cubic relation. (b) The cubic function of best fit to these data is H(x) = 0.159x° – 2.320x2 +9.330x - 5.214. Use a graphing utility to verify that this is the cubic function of best fit. Use this function to predict the number of major hurricanes that struck between 1961-1970. Do this by calculating H(5) and rounding the value to the nearest integer. The model predicts 3 hurricanes between 1961-1970. (c) With a graphing utility, draw a scatter diagram of the data and then graph the cubic function of best fit on the scatter diagram. (d) Concern has risen about the increase in the number and intensity of hurricanes, but some scientists believe this is just a natural fluctuation that could last another decade or two. Use your model to predict the number of major hurricanes that will strike between 2001 and 2010. Do this by calculating H(9) and rounding the value to the nearest integer. The model predicts 7 hurricanes between 2001 and 2010. Does your result appear to agree with what these scientists believe? Yes, the natural fluctuation is supported because the result is comparable to hurricane data from past decades. (e) From 2001-2005, 3 hurricanes struck. Roughly half of the predicted hurricanes for the decade occurred in the first 5 years of the decade. This supports the models accuracy.

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Can you please help in part d and e? I'm also attaching an example of that question. 

O 2 4 6 8
The data appear to have a cubic relation.
(b) The cubic function of best fit to these data is
H(x) = 0.159x - 2.320x2 + 9.330x – 5.214.
Use a graphing utility to verify that this is the cubic function of best fit. Use this function to predict the
number of major hurricanes that struck between 1961-1970. Do this by calculating H(5) and rounding the
value to the nearest integer.
The model predicts 3 hurricanes between 1961-1970.
(c) With a graphing utility, draw a scatter diagram of the data and then graph the cubic function of best fit
on the scatter diagram.
(d) Concern has risen about the increase in the number and intensity of hurricanes, but some scientists
believe this is just a natural fluctuation that could last another decade or two. Use your model to predict the
number of major hurricanes that will strike between 2001 and 2010.
Do this by calculating H(9) and rounding the value to the nearest integer.
The model predicts 7 hurricanes between 2001 and 2010.
Does your result appear to agree with what these scientists believe?
Yes, the natural fluctuation is supported because the result is comparable to hurricane data from past
decades.
(e) From 2001-2005, 3 hurricanes struck. Roughly half of the predicted hurricanes for the decade occurred
in the first 5 years of the decade. This supports the models accuracy.
Transcribed Image Text:O 2 4 6 8 The data appear to have a cubic relation. (b) The cubic function of best fit to these data is H(x) = 0.159x - 2.320x2 + 9.330x – 5.214. Use a graphing utility to verify that this is the cubic function of best fit. Use this function to predict the number of major hurricanes that struck between 1961-1970. Do this by calculating H(5) and rounding the value to the nearest integer. The model predicts 3 hurricanes between 1961-1970. (c) With a graphing utility, draw a scatter diagram of the data and then graph the cubic function of best fit on the scatter diagram. (d) Concern has risen about the increase in the number and intensity of hurricanes, but some scientists believe this is just a natural fluctuation that could last another decade or two. Use your model to predict the number of major hurricanes that will strike between 2001 and 2010. Do this by calculating H(9) and rounding the value to the nearest integer. The model predicts 7 hurricanes between 2001 and 2010. Does your result appear to agree with what these scientists believe? Yes, the natural fluctuation is supported because the result is comparable to hurricane data from past decades. (e) From 2001-2005, 3 hurricanes struck. Roughly half of the predicted hurricanes for the decade occurred in the first 5 years of the decade. This supports the models accuracy.
The following data represent the number of major hurricane strikes in a particular country each decade
from 1921 to 2000.
Major Hurricanes
Striking, H
Decade, x
1921-1930, 1
D.
1931-1940, 2
9.
1941-1950, 3
11
1951-1960, 4
9.
1961-1970, 5
7
1971-1980, 6
1981-1990, 7
1991-2000, 8
6.
(d) Concern has risen about the increase in the number and intensity of hurricanes, but some scientists
believe this is just a natural fluctuation that could last another decade or two. Use your model to predict
the number of major hurricanes that will strike between 2001 and 2010.
hurricanes
(Round to the nearest integer as needed.)
Enter your answer in the answer box and then click Check Answer.
2
parts
remaining
Clear All
Check Answer
Transcribed Image Text:The following data represent the number of major hurricane strikes in a particular country each decade from 1921 to 2000. Major Hurricanes Striking, H Decade, x 1921-1930, 1 D. 1931-1940, 2 9. 1941-1950, 3 11 1951-1960, 4 9. 1961-1970, 5 7 1971-1980, 6 1981-1990, 7 1991-2000, 8 6. (d) Concern has risen about the increase in the number and intensity of hurricanes, but some scientists believe this is just a natural fluctuation that could last another decade or two. Use your model to predict the number of major hurricanes that will strike between 2001 and 2010. hurricanes (Round to the nearest integer as needed.) Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answer
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