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 bear 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. Total Length (cm) Weight (kg) 135 90 134 95 127 80 117 61 149 95 138 98 137 95 147 84 a) Which variable is likely the explanatory variable and which is the response variable? explanatory variable response variable b ) Draw a scatter diagram and describe the association. c ) Determine the linear correlation coefficient between length and weight of a bear. Write formula and answer with 2 decimal places d) Does a linear relation exist between the length and weight of a bear? Write a good conclus e) Find the regression equation f) Predict the weight when length is 149 cm g) Find the residual for length is 149 cm h ) Find the coefficient of determination