Question: Old Faithful. Use the data given below:

a) Is there significant linear correlation between duration of an eruption and the height of the eruption?

b) Find the equation of the regression line with the height on the y-axis.

c) What is the best predicted height of an eruption that has a duration of 180 seconds?

\(\alpha \) = 0.05

Duration x 240 120 178 234 235 269 255 220

Height y 140 110 125 120 140 120 125 150