AnswersStatistical ReasoningChoosing the Best Model

Choosing the Best Model — Quiz Answers

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1
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Based on the residual plot shown, is a linear model appropriate for comparing tree age to basal area?

A
Because the residual plot does not appear linear, it is likely that tree age and basal area do not have a linear relationship.
B
Because the residual plot does not show a clear pattern, a linear model is appropriate.
C
Because the residual plot shows a random a scatter of points, a linear model is not appropriate.
D
Because the residuals are centered about zero, a linear model is appropriate.
2
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Based on the graphs, which type of model is likely appropriate for predicting weight from height?

A
A linear model is appropriate because the graph of the transformed data is roughly linear.
B
An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data.
C
A power model is appropriate because the scatterplot of height versus weight appears curved.
D
A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
3

Based on the scatterplot and residual plot, what type of model is appropriate for comparing time and subscribers?

A
A logarithmic model is appropriate because the log of the number of subscribers was taken.
B
A linear model is appropriate because the residual plot shows a random scatter of points.
C
An exponential model is appropriate because the relationship between period and the log of subscribers is roughly linear and the residual plot shows no distinct pattern.
D
A power model is appropriate because the relationship between period and the log of subscribers is roughly linear.
4

Based on the scatterplot and residual plot, which type of model would best summarize the relationship between launch angle and punt height?

A
A power model is appropriate because the scatterplot of log angle and log height is roughly linear.
B
A logarithmic model is appropriate because logarithms were used to transform the data sets.
C
An exponential model is appropriate because the scatterplot of log angle and log height is roughly linear.
D
A linear model is appropriate because the residual plot shows a random scatter.
5

Based on the least-squares regression and residual plot, is a linear model suitable for this data set?

A
A linear model is not suitable because the residual plot shows a clear pattern.
B
A linear model is suitable because the value of r is close to 1 .
C
A linear model is not suitable because there are more positive residuals than negative residuals.
D
A linear model is suitable because the residual plot shows a curved pattern.
6

Based on the residual plot shown, is a linear model appropriate for comparing driving speed and fuel efficiency?

A
A linear model is not appropriate because there are more negative residuals than positive residuals.
B
A linear model is appropriate because the residuals are decreasing at higher car speeds.
C
A linear model is not appropriate because the residual plot shows a clear pattern.
D
A linear model is appropriate because the residual plot is clearly curved.
7

Based on the residual plot, is a linear model appropriate for summarizing this relationship?

A
A linear model is not appropriate because the residual plot shows a clear pattern.
B
A linear model is appropriate because the residual plot is curved.
C
A linear model is appropriate because the value of r is close to 1 .
D
A linear model is not appropriate because the scatterplot relating time and subscribers shows a clear pattern.
8

Based on the residual plot, is a linear model suitable for modeling the population growth of Houston?

A
A linear model is suitable because the residuals seem to be randomly scattered.
B
A linear model is not suitable because the residual plot shows a curved pattern.
C
A linear model is suitable because a pattern is evident in the residual plot.
D
A linear model is not suitable because the residuals do not cluster around zero.
9

Based on the scatterplot and residual plot shown, is a linear model appropriate for summarizing the relationship?

A
A linear model is appropriate because the residual plot shows no pattern.
B
A linear model is appropriate because the mean of the residuals appears close to zero.
C
A linear model is not appropriate because of the random scatter of points in the residual plot.
D
A linear model is not appropriate because there are potential outliers in the residual plot.
10

Based on the residual plot, is a linear model appropriate for describing the relationship between brain mass and body mass?

A
A linear model is not appropriate, because there is a clear pattern shown in the residual plot.
B
A linear model is appropriate, because many of the residuals are close to zero for all brain weights.
C
A linear model is not appropriate, because the residuals are not centered about zero.
D
A linear model is appropriate, because there is a clear pattern shown in the residual plot.

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