# Question

Data from a sample of n = 150 quail eggs were used to fit a multiple regression model relating y = eggshell surface area (mm2) x1 = egg weight (g) x2 = egg width (mm) x3 = egg length (mm) (“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

and R2 = .996.

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 y and x1, resulting in the estimated regression function 6.254 1 1.387x1. The P-value for the associated model utility test was reported to be less than .01, and R2 5 .994. 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.

and R2 = .996.

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 y and x1, resulting in the estimated regression function 6.254 1 1.387x1. The P-value for the associated model utility test was reported to be less than .01, and R2 5 .994. 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.

## Answer to relevant Questions

The authors of the paper “Weight-Bearing Activity during Youth Is a More Important Factor for Peak Bone Mass than Calcium Intake” (Journal of Bone and Mineral Density [1994]: 1089–1096) used a multiple regression model ...The accompanying Minitab output results from fitting the model described in Exercise 14.14 to data. a. What is the estimated regression equation? b. Using a .01 significance level, perform the model utility test. c. ...The article “Readability of Liquid Crystal Displays: A Response Surface” (Human Factors [1983]: 185–190) used an estimated regression equation to describe the relationship between y = error percentage for subjects ...According to “Assessing the Validity of the Post-Materialism Index” (American Political Science Review [1999]: 649–664), one may be able to predict an individual’s level of support for ecology based on demographic ...Leaf surface area is an important variable in plant gas-exchange rates. Dry matter per unit surface area (mg/cµ3) was measured for trees raised under three different growing conditions. Let µ1, µ2, and µ3 represent the ...Post your question

0