a. Can you construct a 95% confidence interval for the y intercept for the regression equation then justify the correlation between time and duration? b. Also, what are the chances of seeing a relationship between time and duration as strong or stronger than this, when in fact there was none? The regression equation isDuration= - 2.45 + 0.0767 TimePredictorCoefSE CoefPConstant-2.44540.2556 -9.570.000Time0.076739 0.00336022.840.000S = 0.225947R-Sq95.8%Analysis of VarianceSourceDFSSMSFPRegression1.26.63326.633 521.690.000Residual Error 231.1740.051Total24 27.807The above regression results are from the duration of Old Faithful's eruptions as a function of the timesince the last eruption.

Name: a. Can you construct a 95% confidence interval for the y intercept for
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Description: a. Can you construct a 95% confidence interval for the y intercept for the regression equation then justify the correlation between time and duration? b. Also, what are the chances of seeing a relationship between time and duration as strong or stron

Answered: The regression equation is Duration = -…

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a. Can you construct a 95% confidence interval for the y intercept for the regression equation then justify the correlation between time and duration?

b. Also, what are the chances of seeing a relationship between time and duration as strong or stronger than this, when in fact there was none?

The regression equation is
Duration
= - 2.45 + 0.0767 Time
Predictor
Coef
SE Coef
P
Constant
-2.4454
0.2556 -9.57
0.000
Time
0.076739 0.003360
22.84
0.000
S = 0.225947
R-Sq
95.8%
Analysis of Variance
Source
DF
SS
MS
F
P
Regression
1.
26.633
26.633 521.69
0.000
Residual Error 23
1.174
0.051
Total
24 27.807
The above regression results are from the duration of Old Faithful's eruptions as a function of the time
since the last eruption.

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