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Example 166tech

 

Example 166 (Tech): Using a 1% significance level and the computer output below, test the claim that there is a positive linear relationship between a mother’s height and her daughter’s height.
Mother’s Height    Daughter’s Height
63.2    58.6
67.1    64.7
64.5    65.3
60.5    61.0
65.1    65.4
59.3    60.9
64.0    60.0
62.0    59.0
66.5    64.5
 

Minitab output:
Analysis of Variance

Source      DF  Adj SS  Adj MS  F-Value  P-Value
Regression   1   26.39  26.388     5.11    0.058
Mother's Ht  1   26.39  26.388     5.11    0.058
Error        7   36.15   5.165
Total        8   62.54


Model Summary

      S    R-sq  R-sq(adj)  
2.27263  42.19%     33.93%      


Coefficients

Term        Coef  SE Coef  T-Value  P-Value   
Constant    18.0     19.6     0.92    0.388
Mother's Ht 0.695    0.307    2.26    0.058  

Regression Equation

Daughter's Ht = 18.0 + 0.695 * (Mother's Ht)

 

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