Data from a sample of quail eggs were used to fit a multiple
regression model relating
egg weight
width
(“Predicting Yolk Height, Yolk Width, Albumen Length, Eggshell Weight, Egg
Shape Index, Eggshell Thickness, Egg Surface Area of Japanese Quails Using
Various Egg Traits as Regressors," International Journal of Poultry Science
[2008]: 85-88). The resulting estimated regression function was
a. Carry out a model utility test to determine if this multiple regression
model is useful.
b. A simple linear regression model was also used to describe the relationship
between and , resulting in the estimated regression function
. The -value for the associated model utility test was
reported to be less than .01 , and Is the linear model useful?
Explain.
c. Based on your answers to Parts (a) and (b), which of the two models would
you recommend for predicting eggshell surface area? Explain the rationale for
your choice.