Sample data in the table below show the height at the shoulders H, in centimeters, of an adult Indian elephant (Elephas maximus indicus) that corresponds to the right forefoot circumference c, in centimeters.
Right Forefoot Height at the
Circumference, c Shoulders, H
(in centimeters) (in centimeters)
92.3 ............................................... 182.1
98.7 ............................................... 194.8
105.0 ............................................... 207.4
114.2 ............................................... 225.7
120.7 ............................................... 238.6
125.0 ............................................... 247.2

(a) Without using the regression feature on a graphing calculator, model the data with a linear function where the height H is a function of the circumference c of the right forefoot. Then using this function, estimate the height at the shoulders of an Indian elephant with a right forefoot circumference of 118 cm. Round the answer to the nearest hundredth. Answers may vary depending on the data points used.
(b) Using a graphing calculator, fit a regression line to the data and use it to estimate the height at the shoulders of an Indian elephant with a right forefoot circumference of 118 cm. Round the answer to the nearest hundredth. What is the correlation coefficient for the regression line? How close a fit is the regression line?