Question

The data show the time intervals after an eruption​ (to the next​ eruption) of a certain geyser. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted time of the interval after an eruption given that the current eruption has a height of 97 feet. Use a significance level of 0.05.

Height (ft)	116	157	154	122	137	100	102	110
Interval after (min)	80	89	98	87	82	73	81	75

What is the regression​ equation?

y = ___ + ___x ​ (Round to two decimal places as​ needed.)

What is the best predicted time for the interval after an eruption that is 97 feet​ high?

The best predicted interval time for an eruption that ism 97 feet high is ____ minutes.

​(Round to one decimal place as​ needed.)

Answer 1

Using Excel we get, the regression equation is,

y = 45.59 + 0.30x

We want to predict y for x = 97 feet

y = 45.59 + (0.30 * 97)

=> y = 45.59 + 29.1

=> y = 74.69

=> y = 74.7

Therefore, the best predicted interval time for an eruption that ism 97 feet high is 74.7 minutes.