Hemorrhagic disease in white-tailed deer is caused by a virus known as EHD.Immunity is given to fawns by transfer of EHD antibodies from the mother. In astudy to determine how long the maternal antibodies last, blood samples were takenfrom a large sample of fawns of varying ages. The mean levels of EHD antibodyconcentration and the associated ages of fawns are given in the table below.After using the data to fit a straight line model, Eˆ = a + bW , significant curvature wasdetected in the residual plot. Two nonlinear models were chosen for further analysis,the exponential and the power models. (For these data, common logs were used toperform the transformations.) The computer output for these models is given below,and the residual plots are on the next page.
Residual Plots
a) For the exponential model, calculate the predicted logarithm of the EHD antibodyconcentration for an age of 5 weeks.

b) Generally speaking, which of the two models, power or exponential, is a betterchoice for predicting the logarithm of the EHD antibody concentration?
Providestatistical justification for your choice based on both the residual plot and thenumerical summary statistics above.

c) The researchers want use their model to predict EHD antibody concentrations forfawns up to 24 weeks of age. Do you think this would be reasonable?
Explainwhy or why not.

Question

Hemorrhagic disease in white-tailed deer is caused by a virus known as EHD.Immunity is given to fawns by transfer of EHD antibodies from the mother. In astudy to determine how long the maternal antibodies last, blood samples were takenfrom a large sample of fawns of varying ages. The mean levels of EHD antibodyconcentration and the associated ages of fawns are given in the table below.After using the data to fit a straight line model, Eˆ = a + bW , significant curvature wasdetected in the residual plot. Two nonlinear models were chosen for further analysis,the exponential and the power models. (For these data, common logs were used toperform the transformations.) The computer output for these models is given below,and the residual plots are on the next page.  
Residual Plots  
a) For the exponential model, calculate the predicted logarithm of the EHD antibodyconcentration for an age of 5 weeks.

b) Generally speaking, which of the two models, power or exponential, is a betterchoice for predicting the logarithm of the EHD antibody concentration?
 Providestatistical justification for your choice based on both the residual plot and thenumerical summary statistics above.

c) The researchers want use their model to predict EHD antibody concentrations forfawns up to 24 weeks of age. Do you think this would be reasonable?
 Explainwhy or why not.

Quizplus · Accepted Answer

The Answer of Hemorrhagic disease in white-tailed deer is caused by a virus known as EHD.Immunity is given to fawns by transfer of EHD antibodies from the mother. In astudy to determine how long the maternal antibodies last, blood samples were takenfrom a large sample of fawns of varying ages. The mean levels of EHD antibodyconcentration and the associated ages of fawns are given in the table below.After using the data to fit a straight line model, Eˆ = a + bW , significant curvature wasdetected in the residual plot. Two nonlinear models were chosen for further analysis,the exponential and the power models. (For these data, common logs were used toperform the transformations.) The computer output for these models is given below,and the residual plots are on the next page.  
Residual Plots  
a) For the exponential model, calculate the predicted logarithm of the EHD antibodyconcentration for an age of 5 weeks.

b) Generally speaking, which of the two models, power or exponential, is a betterchoice for predicting the logarithm of the EHD antibody concentration?
 Providestatistical justification for your choice based on both the residual plot and thenumerical summary statistics above.

c) The researchers want use their model to predict EHD antibody concentrations forfawns up to 24 weeks of age. Do you think this would be reasonable?
 Explainwhy or why not.

Hemorrhagic Disease in White-Tailed Deer Is Caused by a Virus