Researchers initiated a long-term study of the pòpulation 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 variablethought 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 here to view the data table. Click here to view the critical values table(a) Which variable is the explanatory varialData tableCritical values for the correlation coefficientA. The length of the bearB. The weight of the bearCritical Values for Correlation CoefficientC. The number of bearsTotal Length (cm)Weight (kg)139.0110(b) Draw a scatter diagram of the data. Ch0.997138.06040.950139.0900.878O A.120.5606.0.811AWeight (kg)180-149.09570.754141.01058 0.707Question Viewer9.0.666141.011010 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38140100150.085200Length (cm)166.0155151.5140(c) Determine the linear correlation coeffici129.5105150.0110The linear correlation coefficient between v(Round to three decimal places as needed(d) Does a linear relation exist between theThe variables weight of the bear and lengtPrintDone(Round to three decimal places as needed Researchers initiated a long-term study of the pòpulation 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 variablethought 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 here to view the data table Click here to view the critical values table.(a) Which variable is the explanatory variable based on the goals of the research?O A. The length of the bearB. The weight of the bearC. The number of bears(b) Draw a scatter diagram of the data. Choose the correct graph below.O B.OD.O A.С.AWeight (kg)180-ALength (cm)180-AWeight (kg)180-AWeight (kg)180-401100Length (cm)40-100Weight (kg)40+10040+100200200200200Length (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 areassociated because r isand the absolute value of the correlation coefficient, isthan the critical value,(Round to three decimal places as needed.)of

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