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 137 feet. Use a significance level of 0.05.

Height (ft)   Interval after (min)
100   69
117   87
90   73
133   82
121   88
114   86
129   87
122   87

What is the regression​ equation?

Answer 1

By using EXCEL WE HAVE

regression equation

y(hat)= 37.4627+0.3880*X

Null hypothesis H0:

Alternative Hypothesis Ha:

t value= 2.8962

Pvalue= 0.0275

Since Pvalue smaller than 0.05 therefore SIGNIFICANT

DECISION: REJECT NULL HYPOTHESIS H0.

X= 137 feet

y(hat)= 37.4627+0.3880*137

y(hat)=90.6187