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For the data set (?2,?3),(3,3),(6,4),(8,6),(12,9), carry out the hypothesis test H0H1?1=0?1?0 Determine the value of the...

For the data set (?2,?3),(3,3),(6,4),(8,6),(12,9), carry out the hypothesis test

H0H1?1=0?1?0

Determine the value of the test statistic and the associated p-value.

Test Statistic =

p-Value =

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Homework Answers

Answer #1

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -0.68705036 + 0.83093525 x
Sample size: 5
R (correlation coefficient) = 0.98708936
R-sq = 0.9743454
Estimate of error standard deviation: 0.82089032

Parameter estimates:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value
Intercept -0.68705036 0.55810292 ? 0 3 -1.231046 0.306
Slope 0.83093525 0.077845361 ? 0 3 10.674178 0.0018


Analysis of variance table for regression model:

Source DF SS MS F-stat P-value
Model 1 76.778417 76.778417 113.93808 0.0018
Error 3 2.0215827 0.67386091
Total 4 78.8

Hence,

Test statistic = 10.674

P - value = 0.0018

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