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. O B. OC. OD. O D. AWeight (kg) 180+ T ALength (cm) 180+ T AWeight (kg) 180- AWeight (kg) 180+ T t .. H 40T > 200 Length (cm) 40- 100 40H 100 Length (cm) 40- 100 Length (cm) 100 200 200 200 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? 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.)
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. O B. OC. OD. O D. AWeight (kg) 180+ T ALength (cm) 180+ T AWeight (kg) 180- AWeight (kg) 180+ T t .. H 40T > 200 Length (cm) 40- 100 40H 100 Length (cm) 40- 100 Length (cm) 100 200 200 200 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? 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.)
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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