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Example 166tech
Lecture Examples
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)