The following data represent the number of major hurricane strikes in a particular country each decade from 1921 to 2000. Decade, x 1921-1930, 1 1931-1940, 2 1941-1950, 3 1951-1960, 4 1961-1970, 5 1971-1980, 6 1981-1990, 7 1991-2000, 8 Major Hurricanes Striking, H 7 10 12 10 8 6 7 7 (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables. Which of the following shows the correct scatter diagram for these data? O A. O B. AF 12- 10 6- 4- OC. 02468 AF 12- 10- 8 6- 4- 2- 3+||||||| 02468 Q Q Which relation best describes these data? O A. linear with negative slope OB. linear with postive slope Ah 12- TITTA 10. 8- atttt HAHHE FYRIR 6-11 4 O D. 02468 Ah 12- 10- 8- 6- 4 02468 Q Q ✔ Q ✔

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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The following data represent the number of major hurricane strikes in a particular country each
decade from 1921 to 2000.
Decade, x
1921-1930, 1
1931-1940, 2
1941-1950, 3
1951-1960, 4
1961-1970, 5
1971-1980, 6
1981-1990, 7
1991-2000, 8
Major Hurricanes
Striking, H
7
10
12
10
8
6
7
7
C…
(a) Draw a scatter diagram of the data. Comment on the type of relation that may exist
between the two variables.
Which of the following shows the correct scatter diagram for these data?
A.
B.
2086+NO
124
10-
Ah
O||||||||||||||
8-
6-
4-
O C.
2-
NOBENO
Ah
|||||||||||||
12-
10-
8-
02468
6-
4-
2-
------
HHO
0-
++++++
1▬▬▬▬▬▬▬
HH.
+●
co
Tx
++
02468
X
X
Ly
Ly
Which relation best describes these data?
A. linear with negative slope
B. linear with postive slope
C. no relation
D. cubic
Ah
12-
10-
8-
6-
4-
2-
0-
O D.
0 24 68
Ah
12-
10-
8-
6-
4.
0 24 68
X
(b) The cubic function of best fit to these data is
H(x) = 0.159x³ - 2.320x² +9.330x − .2143.
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.
Transcribed Image Text:The following data represent the number of major hurricane strikes in a particular country each decade from 1921 to 2000. Decade, x 1921-1930, 1 1931-1940, 2 1941-1950, 3 1951-1960, 4 1961-1970, 5 1971-1980, 6 1981-1990, 7 1991-2000, 8 Major Hurricanes Striking, H 7 10 12 10 8 6 7 7 C… (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables. Which of the following shows the correct scatter diagram for these data? A. B. 2086+NO 124 10- Ah O|||||||||||||| 8- 6- 4- O C. 2- NOBENO Ah ||||||||||||| 12- 10- 8- 02468 6- 4- 2- ------ HHO 0- ++++++ 1▬▬▬▬▬▬▬ HH. +● co Tx ++ 02468 X X Ly Ly Which relation best describes these data? A. linear with negative slope B. linear with postive slope C. no relation D. cubic Ah 12- 10- 8- 6- 4- 2- 0- O D. 0 24 68 Ah 12- 10- 8- 6- 4. 0 24 68 X (b) The cubic function of best fit to these data is H(x) = 0.159x³ - 2.320x² +9.330x − .2143. 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.
The following data represent the number of major hurricane strikes in a particular country each
decade from 1921 to 2000.
Decade, x
1921-1930, 1
1931-1940, 2
1941-1950, 3
1951-1960, 4
1961-1970, 5
1971-1980, 6
1981-1990, 7
1991-2000, 8
Major Hurricanes
Striking, H
7
10
12
10
8
6
7
7
C
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.
hurricanes
(Round to the nearest integer as needed.)
(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.
O A.
C.
B.
D.
□
0
☐
(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.)
Does your result appear to agree with what these scientists believe?
Transcribed Image Text:The following data represent the number of major hurricane strikes in a particular country each decade from 1921 to 2000. Decade, x 1921-1930, 1 1931-1940, 2 1941-1950, 3 1951-1960, 4 1961-1970, 5 1971-1980, 6 1981-1990, 7 1991-2000, 8 Major Hurricanes Striking, H 7 10 12 10 8 6 7 7 C 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. hurricanes (Round to the nearest integer as needed.) (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. O A. C. B. D. □ 0 ☐ (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.) Does your result appear to agree with what these scientists believe?
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