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 beais 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 here lo view the dala iable Click here to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? O A. The length of the bear O B. The weight of the bear OC. The number of bears (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. O B. Oc. OD. AWeight (kg) Q 180 TTTD ALength (om) 180- AWeight (kg) 180 .. AWeight (kg) 180- Q *****T 40 100 4011 40 100 Length (om) 404 100 Weight (kg) 404 100 Length (cm) 200 200 G 200 200 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 beais 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 here lo view the dala iable Click here to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? O A. The length of the bear O B. The weight of the bear OC. The number of bears (b) Draw a scatter diagram of the data. Choose the correct graph below. OA. O B. Oc. OD. AWeight (kg) Q 180 TTTD ALength (om) 180- AWeight (kg) 180 .. AWeight (kg) 180- Q *****T 40 100 4011 40 100 Length (om) 404 100 Weight (kg) 404 100 Length (cm) 200 200 G 200 200 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
Related questions
Question
![Researchers initiated a long-term study of the pòpulation 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 here to view the data table. Click here to view the critical values table
(a) Which variable is the explanatory varial
Data table
Critical values for the correlation coefficient
A. The length of the bear
B. The weight of the bear
Critical Values for Correlation Coefficient
C. The number of bears
Total Length (cm)
Weight (kg)
139.0
110
(b) Draw a scatter diagram of the data. Ch
0.997
138.0
60
4
0.950
139.0
90
0.878
O A.
120.5
60
6.
0.811
AWeight (kg)
180-
149.0
95
7
0.754
141.0
105
8 0.707
Question Viewer
9.
0.666
141.0
110
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
40
100
150.0
85
200
Length (cm)
166.0
155
151.5
140
(c) Determine the linear correlation coeffici
129.5
105
150.0
110
The linear correlation coefficient between v
(Round to three decimal places as needed
(d) Does a linear relation exist between the
The variables weight of the bear and lengt
Print
Done
(Round to three decimal places as needed](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77aea7c1-e1b0-47d1-a611-3ed1fc1f706d%2F24a7936e-c9d2-485d-a58f-a9214c6b4071%2Fwhqocj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Researchers initiated a long-term study of the pòpulation 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 here to view the data table. Click here to view the critical values table
(a) Which variable is the explanatory varial
Data table
Critical values for the correlation coefficient
A. The length of the bear
B. The weight of the bear
Critical Values for Correlation Coefficient
C. The number of bears
Total Length (cm)
Weight (kg)
139.0
110
(b) Draw a scatter diagram of the data. Ch
0.997
138.0
60
4
0.950
139.0
90
0.878
O A.
120.5
60
6.
0.811
AWeight (kg)
180-
149.0
95
7
0.754
141.0
105
8 0.707
Question Viewer
9.
0.666
141.0
110
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
40
100
150.0
85
200
Length (cm)
166.0
155
151.5
140
(c) Determine the linear correlation coeffici
129.5
105
150.0
110
The linear correlation coefficient between v
(Round to three decimal places as needed
(d) Does a linear relation exist between the
The variables weight of the bear and lengt
Print
Done
(Round to three decimal places as needed
![Researchers initiated a long-term study of the pòpulation 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 here to view the data table Click here to view the critical values table.
(a) Which variable is the explanatory variable based on the goals of the research?
O A. The length of the bear
B. The weight of the bear
C. The number of bears
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O B.
OD.
O A.
С.
AWeight (kg)
180-
ALength (cm)
180-
AWeight (kg)
180-
AWeight (kg)
180-
401
100
Length (cm)
40-
100
Weight (kg)
40+
100
40+
100
200
200
200
200
Length (cm)
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.)
of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77aea7c1-e1b0-47d1-a611-3ed1fc1f706d%2F24a7936e-c9d2-485d-a58f-a9214c6b4071%2Fjgu2fm6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Researchers initiated a long-term study of the pòpulation 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 here to view the data table Click here to view the critical values table.
(a) Which variable is the explanatory variable based on the goals of the research?
O A. The length of the bear
B. The weight of the bear
C. The number of bears
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O B.
OD.
O A.
С.
AWeight (kg)
180-
ALength (cm)
180-
AWeight (kg)
180-
AWeight (kg)
180-
401
100
Length (cm)
40-
100
Weight (kg)
40+
100
40+
100
200
200
200
200
Length (cm)
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.)
of
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