searchers 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 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. ... Which variable is the explanatory variable based on the goals of the research? A. The number of bears B. The length of the bear C. The weight of the bear Draw a scatter diagram of the data. Choose the correct graph below. A. OB. OC. OD. AWeight (kg) 30- ALength (cm) 180- Q AWeight (kg) 180+ AWeight (kg) 180- Q ... 40+ +0++++ 0 100 Weight (kg) 40+ 100 Length (cm) 404 100 Length (cm) 100 200 200 200 Length (cm) Determine the linear correlation coefficient between weight and length. e linear correlation coefficient between weight and length is r= ound to three decimal places as needed.) Does a linear relation exist between the weight of the bear and its length? e variables weight of the bear and length of the bear are negatively associated because r is positive and the absolute value of the correlation coefficient, ,is greater than the critical value, ound to three decimal places as needed.)
searchers 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 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. ... Which variable is the explanatory variable based on the goals of the research? A. The number of bears B. The length of the bear C. The weight of the bear Draw a scatter diagram of the data. Choose the correct graph below. A. OB. OC. OD. AWeight (kg) 30- ALength (cm) 180- Q AWeight (kg) 180+ AWeight (kg) 180- Q ... 40+ +0++++ 0 100 Weight (kg) 40+ 100 Length (cm) 404 100 Length (cm) 100 200 200 200 Length (cm) Determine the linear correlation coefficient between weight and length. e linear correlation coefficient between weight and length is r= ound to three decimal places as needed.) Does a linear relation exist between the weight of the bear and its length? e variables weight of the bear and length of the bear are negatively associated because r is positive and the absolute value of the correlation coefficient, ,is greater than the critical value, ound 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.
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 length of the bear
OC. The weight of the bear
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O A.
OB
Oc.
OD.
AWeight (kg)
180+ --
ALength (cm)
180+ TTT
AWeight (kg)
180-
Weight (kg)
180-
++++
+++++
Q
40
100
Length (cm)
40 M ..
100
Weight (kg)
404
100
Length (cm)
40-
100
Length (cm)
200
200
200
200
(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 negatively associated because r is positive and the absolute value of the correlation coefficient,, is greater than the critical value,
(Round to three decimal places as needed.)
Transcribed Image Text:Researchers initiated a long-term study of the population of American black bears. One aspect of the study
the field). One variable thought to be related to weight is the length of the bear. The accompanying data re
E Click the icon to view the data table.
Critical values for the correlation coefficient
þears i
.....
E Click the icon to view the critical values table.
Critical Values for Correlation Coefficient
- X
n
3 0,997
Data table
(a) Which variabl
4 0.950
5 0.878
6 0.811
O A. The num
6
7 0.754
O B. The lengt
8 0.707
9 0.666
Total Length (cm)
Weight (kg)
O C. The weigl
138.0
110
10 0.632
Lo 602
135.0
60
(b) Draw a scatte
11 0.602
12LO576
12 0.576
13 0.553
130.0
90
120.5
60
O A.
149.0
95
14 0.532
AWeight (kg)
180t TL
15 0.514
0.514
16 0.497
141.0
100
141.0
95
17 0.482
18 0.468
150.0
85
166.0
155
40 +---
100
19 0.456
20 0.444
151.5
140
Length (cm)
129.5
105
21 0.433
22 0.423
23 0.413
150.0
110
(c) Determine the
The linear correla
24 0.404
(Round to three d
25 0.396
26 0.388
(d) Does a linear
Print
Done
27 0.381
The variables we
(Round to three decimal places as needed.)
28 0.374
29 0.367
positive
Print
Done
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