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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 (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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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(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:(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
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,
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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