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 84 feet. Use a significance level of 0.05.

Height (ft) Interval after (min)

96, 68

111, 80

76, 66

91, 72

66, 58

108, 79

116, 84

91, 79

What is the regression equation?

Y=______+______x

Solution

Using technology, we get              
              
slope =    0.460108443          
intercept =    29.82726569          
              
Thus, the regression line is              
              
y^ = 29.82726569 + 0.460108443x [ANSWER]

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Thus, if x =    84
  
Then  
  
y^ =    68.4763749 [ANSWER, predicted time of the interval after an eruption given that the current eruption has a height of 84 feet]