The Honeybee dataset contains data collected from the USDA on the estimated number of honeybee colonies (in thousands) for the years 1995 through 2012. We use technology to find that a regression line to predict number of (thousand) colonies from year (in calendar year) is

\[\widehat{\text { Colonies }}=19,291,511-8.358(\text { Year })\]

(a) Interpret the slope of the line in context.

(b) Often researchers will adjust a year explanatory variable such that it represents years since the first year data were colleected. Why might they do this? (Hint: Consider interpreting the yintercept in this regression line.)

(c) Predict the bee population in 2100. Is this prediction appropriate (why or why not)?