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  3. the following sample observations were randomly se

The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be...

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Statistics

The following sample observations were randomly selected.(Do not round the intermediate values. Negative amountshould be indicated by a minus sign. Round your answers to 3decimal places.)

X:65369
Y:465112

  

  1. Determine the 0.99 confidence interval for the mean predictedwhen x = 6.

  1. Determine the 0.99 prediction interval for an individualpredicted when x = 6.

Answer & Explanation Solved by verified expert
4.2 Ratings (742 Votes)

using excel>Addin>phstat>multiple sample test >Regression

we have

Simple Linear Regression Analysis
Regression Statistics
Multiple R 0.5884
R Square 0.3462
Adjusted R Square 0.1283
Standard Error 3.7695
Observations 5
ANOVA
df SS MS F Significance F
Regression 1 22.5723 22.5723 1.5886 0.2966
Residual 3 42.6277 14.2092
Total 4 65.2000
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept -0.7553 5.3167 -0.1421 0.8960 -17.6754 16.1648
x 1.0957 0.8694 1.2604 0.2966 -1.6710 3.8625
Confidence Interval Estimate
Data
X Value 6
Confidence Level 99%
Intermediate Calculations
Sample Size 5
Degrees of Freedom 3
t Value 5.840909
XBar, Sample Mean of X 5.8
Sum of Squared Differences from XBar 18.8
Standard Error of the Estimate 3.769512
h Statistic 0.202128
Predicted Y (YHat) 5.819149
For Average Y
Interval Half Width 9.8987
Confidence Interval Lower Limit -4.0796
Confidence Interval Upper Limit 15.71786
For Individual Response Y
Interval Half Width 24.1402
Prediction Interval Lower Limit -18.3211
Prediction Interval Upper Limit 29.95935

a )the 0.99 confidence interval for the mean predicted when x = 6 is (-4.0796 ,15.71786)

b ) the 0.99 prediction interval for an individual predicted when x = 6. is (-18.3211 ,29.95935)
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