Consider the following data collected from a sample of 12American black bears:
Length (cm) | 139.0 | 138.0 | 139.0 | 120.5 | 149.0 | 141.0 | 141.0 | 150.0 | 166.0 | 151.5 | 129.5 | 150.0 |
Weight (kg) | 110 | 60 | 90 | 60 | 85 | 100 | 95 | 85 | 155 | 140 | 105 | 110 |
(a) Sketch a scatterplot of the data. Treat length as theexplanatory variable. Describe the association.
(b) Construct the equation for the line of best fit.
(c) Estimate the weight of a bear which measures 142.5 cm inlength.
(d) What percent of the variation in the bears’ weights can bedescribed by the differences in their lengths?