Old Faithful - Clustering Resolved with Piecewise Regression: At Yellowstone National Park they want to predict the waiting time after one eruption of Old Faithful to the beginning of the next.They have prior data regarding duration of eruptions and the associated waiting time after each eruption. Here is a scatter plot of eruption duration-vs- waiting time. They have broken it into two different linear regression lines:one for short eruptions and one for long eruptions. The regression equation is given in two parts. (see equation and chart in book) (a) If an eruption lasts 2 minutes, what is the predicted wait time until the next eruption? (b) If an eruption lasts 4.5 minutes, what is the predicted wait time until the next eruption? (c) If an eruption lasts 3.75 minutes, what is the predicted wait time until the next eruption