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 149 feet. Use a significance level of 0.05.

Height (ft)   Interval after (min)
108   77
124   73
108   81
152   87
109   69
138   91
137   90
103   68

What is the regression equation?

y = ______+_______x

Solution

Using technology, we get              
              
slope =    0.400065051          
intercept =    30.54203936          
              
Thus, the regression line is              
              
y^ =    0.400065051x + 30.54203936 [ANSWER, REGRESSION EQUATION]

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Thus, if x =    149          
              
Then              
              
y^ =    90.15173199   [PREDICTED TIME OF INTERVAL]