The data show the time intervals after an eruption to the ne

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 92 feet. Use a significance level of 0.05.

Height (ft)       Interval after (min)

70        69

73        62

104      82

122      91

74        71

107      84

76        68

97        75

What is the regression equation?

Y = _____ + _____ x

Solution

Using technology, we get              
              
slope =    0.468980216          
intercept =    32.86591299          
              
Thus, the regression line is              
              
y^ =    32.86591299 + 0.468980216x [ANSWER]

**********************************
              
Thus, if x =    92          
              
Then              
              
y^ =    76.01209285   [ANSWER]