Researchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below. E Click the icon to view the data table. E Click the icon to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? O A. The number of bears O B. The weight of the bear OC. The length of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. OB. Oc. OD. AWeight (kg) 180- Q AWeight (kg) 180 TTTD ALength (cm) 180 TT T Q AWeight (kg) 180- TTT TTTT 11111 etH ... 40 +- 40+ 100 Length (cm) 40 100 40++++++++++ CA 100 Length (cm) 200 200 200 200 Weight (kg) 100 Length (cm) (c) Determine the linear correlation coefficient between weight and length. The linear correlation coefficient between weight and length is r=. (Round to three decimal places as needed.)
Researchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below. E Click the icon to view the data table. E Click the icon to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? O A. The number of bears O B. The weight of the bear OC. The length of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. OB. Oc. OD. AWeight (kg) 180- Q AWeight (kg) 180 TTTD ALength (cm) 180 TT T Q AWeight (kg) 180- TTT TTTT 11111 etH ... 40 +- 40+ 100 Length (cm) 40 100 40++++++++++ CA 100 Length (cm) 200 200 200 200 Weight (kg) 100 Length (cm) (c) Determine the linear correlation coefficient between weight and length. The linear correlation coefficient between weight and length is r=. (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Researchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be
related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below.
Click the icon to view the data table.
Click the icon to view the critical values table.
critical values for the correlation coefficient
(a) Which variable is the explanatory variable based on the goals of the research?
- X
Critical Values for Correlation Coefficient
A. The number of bears
Data table
B. The weight of the bear
3 0.997
O C. The length of the bear
4
0.950
0.878
(b) Draw a scatter diagram of the data.
Total Length (cm)
Weight (kg)
6.
0.811
139.0
110
7 0.754
O A.
8.
0.707
135.0
60
9.
0.666
AWeight (kg)
180-
139.0
90
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
120.5
60
149.0
85
141.0
105
40-
100
141.0
110
200
Length (cm)
150.0
85
166.0
155
(c) Determine the linear correlation coet
151.5
140
129.5
105
The linear correlation coefficient betwee
(Round to three decimal places as need
150.0
110
(d) Does a linear relation exist between
The variables weight of the bear and lei
solute val
(Round to three decimal places as need
Print
Done
Print
Done
Transcribed Image Text:Researchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be
related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below.
Click the icon to view the data table.
Click the icon to view the critical values table.
.....
(a) Which variable is the explanatory variable based on the goals of the research?
O A. The number of bears
B. The weight of the bear
O C. The length of the bear
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O A.
O B.
O C.
D.
A Weight (kg)
180-
AWeight (kg)
180-
ALength (cm)
180-
A Weight (kg)
180-
40-
100
40-
100
Length (cm)
40-
100
40-
100
200
200
200
200
Length (cm)
Weight (kg)
Length (cm)
(c) Determine the linear correlation coefficient between weight and length.
The linear correlation coefficient between weight and length is r=
(Round to three decimal places as needed.)
(d) Does a linear relation exist between the weight of the bear and its length?
The variables weight of the bear and length of the bear are
associated because r is
and the absolute value of the correlation coefficient,
is
than the critical value,
(Round to three decimal places as needed.)
positively
negatively
not
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