1. The American black bear is the smallest North American bear and the most common bear species on the planet. In 1969, Dr. Michael R. Pelton initiated a long-term study of the population of bears in the Great Smoky Mountains National Park. One aspect of the study was to develop a model that could be used to predict a bear’s weight from their length. Through the data he found that the mean bear length was 143.48 cm (standard deviation 11.43 cm) and the mean weight was 99.68 kg (standard deviation = 28 kg). The correlation between length and weight was .74. (4 pts) a) Find the equation for the regression line for predicting weight from length (1 pts). b) Interpret slope and y-intercept. (1 pt) c) Suppose a 162 cm bear is captured in the field, use the regression equation to predict the weight of the bear. (1 pt) d) The researchers were able to weigh the bear and his weight turned out to be 120 kg. Interpret the residual. (1 pt)