b Draw a scatter diagram of the data Choose the correct grap

(b) Draw a scatter diagram of the data. Choose the correct graph below. (c) Determine the linear correlation coefficient between weight and length. The linear correlation coefficient between weight and length is r = D. (Round to three decimal places as needed.) (d) Does a linear relation exist between the weight of the bear and its length? Because the correlation coefficient is [ ] and the absolute value of the correlation coefficient, LJ is than the critical value for this data set, [ ], [ ] linear relation exists between the weight of the bear and its length. (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). Click the icon to view the data table. Click the icon to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? A. The number of bears B. The length of the bear C. The weight of the bear Critical Values for Coefficient

Solution

(a) B

--------------------------------------------------------------------------------------------------------

(b)C

--------------------------------------------------------------------------------------------------------
(c)r = 0.684

--------------------------------------------------------------------------------------------------------
(d)because the correction coefficient is 0.684 and the absolute value of the correlation coefficeint, 0.684, is larger than the critical value for this data set.