Choosing the Best Model

Question 1

Data were collected every five years on the population of the countries in the UN. The following computer output and residual plot for the power model were provided.Based on the residual plot, is the power model appropriate?

Revolt · Accepted Answer

No, the residual plot does not show random scatter around the residual = 0.

Question 2

The dosage of medicine that a person is prescribed is often determined by the person’s weight. The following computer output and residual plot for the exponential model were provided. Which of the following statements apply to this transformed model? Check all that apply.The residual plot is patterned.The model is a good fit.The r2 is considered strong.The value of r2 is 99.08%.The transformed model compares the log of weight to the log of dosage.

Revolt · Accepted Answer

The model is a good fit.; The r2 is considered strong.

Question 3

The speed you are going determines the distance you travel before coming to a complete stop after pressing the brake.Use the computer outputs, scatterplots, and residual plots to determine which statements are true. Check all that apply.The linear model is most appropriate.The power model is most appropriate.Models are always improved by transformations.The r2 on the linear model is stronger.The residual plot is more patterned on the linear model.

Revolt · Accepted Answer

The linear model is most appropriate.; The r2 on the linear model is stronger.

Question 4

Arborists use the diameter of a tree trunk to predict the age of a tree.Using the computer outputs, scatterplots, and residual plots, which model is the most appropriate for this scenario?

Revolt · Accepted Answer

power model

Question 5

Data were collected on the level of customer satisfaction versus the amount earned in sales. Use the computer outputs, scatterplots, and residual plots to explain why the power model is more appropriate than the exponential model.

Revolt · Accepted Answer

The scatterplot of the power model has of a curve, the residual plot has a bit of a scattered look, and the r2 is slightly .: less; The scatterplot of the power model has of a curve, the residual plot has a bit of a scattered look, and the r2 is slightly .: more; The scatterplot of the power model has of a curve, the residual plot has a bit of a scattered look, and the r2 is slightly .: stronger

Question 6

Data were collected on the level of customer satisfaction versus the amount earned in sales. Use the computer outputs, scatterplots, and residual plots to explain why the power model is more appropriate than the exponential model.

Revolt · Accepted Answer

✔ less; The scatterplot of the power model has of a curve, the residual plot has a bit of a scattered look, and the r2 is slightly .: less; The scatterplot of the power model has of a curve, the residual plot has a bit of a scattered look, and the r2 is slightly .: more; The scatterplot of the power model has of a curve, the residual plot has a bit of a scattered look, and the r2 is slightly .: stronger

Question 7

✔ moreless

Revolt · Accepted Answer

✔ more

Question 8

✔ strongerweaker

Revolt · Accepted Answer

✔ stronger

Question 9

The longer your garbage sits outside without being collected, the more flies are attracted to it. The fly population is recorded over an 11-day span.Using the computer outputs, scatterplots, and residual plots, which model is the most appropriate for this scenario?

Revolt · Accepted Answer

exponential model

Question 10

Arborists use the diameter of a tree trunk to predict the age of a tree. The following computer output and residual plot for the power model were provided.The predicted age of a tree that has a diameter of 600 mm is approximately

Revolt · Accepted Answer

210 years.

Choosing the Best Model Answers

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