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In: Statistics and Probability

Researchers initiated a​ long-term study of the population of American black bears. One aspect of the...

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.

​(c) Determine the linear correlation coefficient between weight and length.

The linear correlation coefficient between weight and length is

r equals=

​(d) Does a linear relation exist between the weight of the bear and its​ length?

Length cm weight kg

139 110
138 60
130 90
120.5 60
149 85
141 100
141 95
150 85
166 155
151.5 140
129.5 105
150 110

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