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Old Faithful The table below lists measurements from eight
Chapter 10, Problem 1 RE(choose chapter or problem)
Old Faithful The table below lists measurements from eight different eruptions of the Old Faithful geyser in Yellowstone National Park. The data consist of the duration (sec) of the eruption, height (ft) of the eruption, time interval (min) before the eruption, and time interval (min) after the eruption. Shown below are Minitab results obtained by using the durations and interval-after times.
a. Determine whether there is sufficient evidence to support a claim of a linear correlation between duration and interval-after time for eruptions of the Old Faithful geyser.
b. What percentage of the variation in interval-after times can be explained by the linear correlation between interval-after times and durations?
c. Letting y represent interv-alafter time and letting x represent duration time, identify the regression equation.
d. If an eruption has a duration of 200 sec, what is the best predicted value for the time interval after the eruption to the next eruption?
Questions & Answers
QUESTION:
Old Faithful The table below lists measurements from eight different eruptions of the Old Faithful geyser in Yellowstone National Park. The data consist of the duration (sec) of the eruption, height (ft) of the eruption, time interval (min) before the eruption, and time interval (min) after the eruption. Shown below are Minitab results obtained by using the durations and interval-after times.
a. Determine whether there is sufficient evidence to support a claim of a linear correlation between duration and interval-after time for eruptions of the Old Faithful geyser.
b. What percentage of the variation in interval-after times can be explained by the linear correlation between interval-after times and durations?
c. Letting y represent interv-alafter time and letting x represent duration time, identify the regression equation.
d. If an eruption has a duration of 200 sec, what is the best predicted value for the time interval after the eruption to the next eruption?
ANSWER:
Answer
Step 1 of 4
a)Given correlation between duration and interval-after (r)=0.926
the test statistic t=r() with n-2 degrees of freedom
=0.926()
=38.85
The critical values at 0.05 level of significance for 8-2=6 df is 0.707
Here test statistic > critical value
So we conclude there is a linear correlation between duration and interval-after