T 42. Old Faithful Old Faithful eruptions do not occur at uniform intervals and may vary greatly. Can we improve our chances of predicting the time of the next eruption if we know how long the previous eruption lasted? d) State a conclusion based on this regression analysis: Dependent variable is Interval R-squared = 77.0% s = 6.159 with 222 – 2 = 220 degre of freedom Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 33.9668 1.428 23.8 <0.0001 Duration 10.3582 0.3822 27.1 <0.0001 Variable Mean StdDev Duration 3.57613 1.08395 Interval 71.0090 12.7992 e) The second table shows the summary statistics for the two variables. Create a 95% confidence interval for the mean length of time that will elapse following a 2-minute eruption. f) You arrive at Old Faithful just as an eruption ends. Witnesses say it lasted 4 minutes. Create a 95% prediction interval for the length of time you will wait to see the next eruption.

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T 42. Old Faithful Old Faithful eruptions do not occur at
uniform intervals and may vary greatly. Can we improve
our chances of predicting the time of the next eruption if
we know how long the previous eruption lasted?
d) State a conclusion based on this regression analysis:
Dependent variable is Interval
R-squared = 77.0%
s = 6.159 with 222 – 2 = 220 degrees of freedom
S
Variable
Coefficient
SE(Coeff)
t-Ratio
P-Value
Intercept
33.9668
1.428
23.8
<0.0001
Duration
10.3582
0.3822
27.1
<0.0001
Variable
Mean
StdDev
Duration
3.57613
1.08395
Interval
71.0090
12.7992
e) The second table shows the summary statistics for the
two variables. Create a 95% confidence interval for
the mean length of time that will elapse following a
2-minute eruption.
f) You arrive at Old Faithful just as an eruption ends.
Witnesses say it lasted 4 minutes. Create a 95%
prediction interval for the length of time you will wait
to see the next eruption.
Transcribed Image Text:T 42. Old Faithful Old Faithful eruptions do not occur at uniform intervals and may vary greatly. Can we improve our chances of predicting the time of the next eruption if we know how long the previous eruption lasted? d) State a conclusion based on this regression analysis: Dependent variable is Interval R-squared = 77.0% s = 6.159 with 222 – 2 = 220 degrees of freedom S Variable Coefficient SE(Coeff) t-Ratio P-Value Intercept 33.9668 1.428 23.8 <0.0001 Duration 10.3582 0.3822 27.1 <0.0001 Variable Mean StdDev Duration 3.57613 1.08395 Interval 71.0090 12.7992 e) The second table shows the summary statistics for the two variables. Create a 95% confidence interval for the mean length of time that will elapse following a 2-minute eruption. f) You arrive at Old Faithful just as an eruption ends. Witnesses say it lasted 4 minutes. Create a 95% prediction interval for the length of time you will wait to see the next eruption.
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