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Example 165tech

 

Example 165: Find the  for the following data and state the largest deviation we would expect between any of the actual data points and our least squares line.
Female Height (in Meters)
X    Ideal Height of Mate
Y
1.52    1.69
1.60    1.74
1.68    1.80
1.75    1.93
1.83    2.00


Accompanying Minitab output:
Model Summary

        S    R-sq  R-sq(adj)  
0.0282013  96.46%     95.29%      


Coefficients

Term       Coef  SE Coef  T-Value  P-Value   
Constant  0.076    0.194     0.39    0.721
Female Ht 1.048    0.116     9.05    0.003  


Regression Equation: Ideal Ht of Mate = 0.076 + 1.048 * (Female Ht)

 

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