13.20 ● The article “Root Dentine Transparency: Age De- termination of Human Teeth Using Computerized Densi- tometric Analysis” (American Journal of Physical Anthro- pology [1991]: 25–30) described a study in which the objective was to predict age (y) from percentage of a tooth’s root with transparent dentine. The accompanying data are for anterior teeth.

Mean Response Time 

a.    Fit a linear regression model that would allow you to predict the mean response time for those suffering a

me on the

Use the accompanying MINITAB output to decide whether the simple linear regression model is useful.

The regression equation is Age = 32.1 + 0.555percent

Predictor                Coef            Stdev        t-ratio                 p Constant     32.08        13.32                        2.41           0.043

percent                0.5549          0.3101           1.79         0.111

s = 14.30         R-sq = 28.6%           R-sq(adj) = 19.7%

Analysis of Variance

Source                     DF                SS             MS              F               p

b.    Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the mean re- sponse time for individuals with CHI? Test the appropriate hypotheses using a = .05.

c.    It is also possible to test hypotheses about the y inter- cept in a linear regression model. For these data, the null hypothesis H0: a = 0 cannot be rejected at the .05 signifi- cance level, suggesting that a model with a y intercept of 0 might be an appropriate model. Fitting such a model re- sults in an estimated regression equation of

CHI = 1.48(Control)

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