Question: The paper cited in Exercise 5.69 gave a scatterplot in which x values were for anterior teeth. Consider the following representative subset of the data:
The paper cited in Exercise 5.69 gave a scatterplot in which x values were for anterior teeth. Consider the following representative subset of the data:
a. Calculate the predicted values and residuals.
b. Use the results of Part (a) to obtain SSResid and r2.
c. Does the least-squares line appear to give accurate predictions? Explain your reasoning.
Data from Exercises 69
The paper “Root Dentine Transparency: Age Determination of Human Teeth Using Computerized Densitometric Analysis” (American Journal of Physical Anthropology [1991]: 25–30) reported on an investigation of methods for age determination based on tooth characteristics. With y = age (in years) and x = percentage of root with transparent dentine, a regression analysis for premolars gave n = 36, SSResid = 5987.16, and SSTo = 17,409.60. Calculate and interpret the values of r2 and se.
X y X y 15 23 44 60 2 x = 404 19 52 47 78 31 65 a = 32.080888 48 59 xy = 18,448 39 55 b = 0.554929 55 61 y = 545 41 32 65 60
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To calculate the predicted values and residuals we need to have the equation of the leastsquares regression line Unfortunately the equation of the reg... View full answer
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