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 Click the icon to view the data table. E Click the icon to view the critical values table. (m) Which variable is the explanatory variable based on the goals of the research? A. The number of bears 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. Oc. O D. AWelght g) 180 AWalght ag) 180 Length (em) 180 AWeight g) 180 40 100 Length (em) 40 40 100 Langth (cm) 40 200 100 Langth (em) 200 100 200 200 Welght ka) (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.)

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Chapter1: Starting With Matlab
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in d you choose between 

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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
B. The length of the bear
C. The weight of the bear
(b) Draw a scatter diagram of the data. Choose the correct graph below.
O A.
В.
Oc.
O D.
AWeight kg)
180
AWaight (ag)
180
ALength (em)
180
AWaight ag)
180
40+
100
40+
40
100
40+
200
100
200
200
100
200
Length (cm)
Length (cm)
Weight (ka)
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, O.
(Round to three decimal places as needed.)
Data table
Total Length (cm)
Weight (kg)
138.0
110
135.0
60
130.0
90
120.5
60
149.0
95
141.0
105
141.0
95
150.0
85
166.0
155
151.5
140
129.5
105
150.0
110
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. 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 B. The length of the bear C. The weight of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below. O A. В. Oc. O D. AWeight kg) 180 AWaight (ag) 180 ALength (em) 180 AWaight ag) 180 40+ 100 40+ 40 100 40+ 200 100 200 200 100 200 Length (cm) Length (cm) Weight (ka) 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, O. (Round to three decimal places as needed.) Data table Total Length (cm) Weight (kg) 138.0 110 135.0 60 130.0 90 120.5 60 149.0 95 141.0 105 141.0 95 150.0 85 166.0 155 151.5 140 129.5 105 150.0 110 Print Done
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