4.1 Statistics

n Print 3 0.997 4 0.950 On A 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 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 28 0.374 29 0.367 30 0.361 n (1) O reversed the sign of r. made the value of r increase. made the value of r decrease. had no effect on r. 15. 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. 10 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 X B. The weight of the bear C. The length of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below. OA O c. OD. ALength (cm) AWeight (kg) AWeight (kg) Weight (kg) 180- 180 180 180 100 200 C 100 200 C 100 200 100 200 Weight (kg) Length (cm) Length (cm) 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 (1) associated because r is (2) and the absolute value of the correlation coefficient, , is (3) than the critical value, (Round to three decimal places as needed.) 9: Data table Total Length (cm) Weight (kg) 139.0 110 138.0 60 130.0 90 120.5 60 149.0 85 141.0 105 141.0 110 150.0 85 166.0 155 151.5 140 129.5 105 150.0 110 10: critical values for the correlation coefficient Critical Values for Correlation Coefficient 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666