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 (a) Which variable is the explanatory variable based on the goals of the research? OA. The number of bears OB. The length of the bear OC. The weight of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below OA. AWeight (kg) 180 ++++ 773 ROBE 40+++++ 100 200 Length (cm) Q Q OB. The variables weight of the bear and length of the bear are (Round to three decimal places as needed.) 180 ALength (cm) +|||| 111111 HEPTO BOGA +++K 40++ 100 Weight (kg) (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? 200 G associated because ris CITES O C. AWeight (kg) HHHHHH +++ HEPSCHROE 408 TOMB!! HellH 40-RA 100 180+ 200 Length (cm) Q and the absolute value of the correlation coefficient, is OD. A Weight (kg) 180-TEEN THOPED BEEN CRE THERNH *** 19H 40-+*!! 100 200 Length (cm) than the critical value, Q Q 5
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 (a) Which variable is the explanatory variable based on the goals of the research? OA. The number of bears OB. The length of the bear OC. The weight of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below OA. AWeight (kg) 180 ++++ 773 ROBE 40+++++ 100 200 Length (cm) Q Q OB. The variables weight of the bear and length of the bear are (Round to three decimal places as needed.) 180 ALength (cm) +|||| 111111 HEPTO BOGA +++K 40++ 100 Weight (kg) (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? 200 G associated because ris CITES O C. AWeight (kg) HHHHHH +++ HEPSCHROE 408 TOMB!! HellH 40-RA 100 180+ 200 Length (cm) Q and the absolute value of the correlation coefficient, is OD. A Weight (kg) 180-TEEN THOPED BEEN CRE THERNH *** 19H 40-+*!! 100 200 Length (cm) than the critical value, Q Q 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:(c)
Th
Data Table
Total Length (cm)
138.0
135.0
130.0
120.5
149.0
141.0
141.0
150.0
166.0
151.5
129.5
150.0
Print
Weight (kg)
110
60
90
60
85
105
95
85
155
140
105
110
Done
0
X
Critical Values for the Correlation Coefficient
3 0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9 0.666
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
0371
X
not practical to v
parts (a) through
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.
(a) Which variable is the explanatory variable based on the goals of the research?
OA. The number of bears
OB. The length of the bear
OC. The weight of the bear
(b) Draw a scatter diagram of the data. Choose the correct graph below.
OA.
AWeight (kg)
180-
40
100
KA
200
Length (cm)
Q
B.
The variables weight of the bear and length of the bear are
(Round to three decimal places as needed.)
180
ALength (cm)
40+
100
(c) Determine the linear correlation coefficient between weight and length.
The linear correlation coefficient between weight and length is r= 0
(Round to three decimal places as needed.)
(d) Does a linear relation exist between the weight of the bear and its length?
200
Weight (kg)
Q
associated because ris
O C.
A Weight (kg)
1804
40+
100
200
Length (cm)
Q
and the absolute value of the correlation coefficient,
IS
D.
A Weight (kg)
180+
40+
100
200
Length (cm)
than the critical value,
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