1 2 3 4 5 6 7 8 9 10 11 12 Mean SD

Duration(min) 1.7 1.9 2.0 2.3 3.1 3.4 3.5 4.0 4.3 4.5 4.7 4.9 3.358 1.156

Interval (min) 55 49 51 53 57 75 80 76 93 76 93 76 68.750 14.845

Correlation r=0.8911

2(a) Suppose that an eruption just started. Use the theory of linear regression to get the best point prediction of the current eruption-duration, if the interval from the previous eruption was about 1 hour and 10 minutes (70 minutes).

2(b) Suppose that an eruption just ended at 10:20am, and the duration of the eruption was 2.5 minutes (2 minutes and 30 seconds). Use the theory of linear regression to get the best point prediction of the next eruption time.