Analyzing the mtcars dataset in R, what type of plot would be most suitable for comparing the relationship between gross horsepower hp and miles per US gallon mpg?

Help file for mtcars dataset is below

Question

Analyzing the mtcars dataset in R, what type of plot would be most suitable for comparing the relationship between gross horsepower hp and miles per US gallon mpg?

Help file for mtcars dataset is below

BlackTom AI · Accepted Answer

When comparing two quantitative variables, such as gross horsepower (hp) and miles per gallon (mpg), the goal is to observe how the variables relate to each other across observations.

A scatterplot plots each observation as a point with one axis for hp and the other for mpg, which directly reveals the relationship pattern between the two variables. It can show the direction of association (positive or negative), the strength of the relationship, and whether the relationship appears linear, nonlinear, or if there are potential clusters or outliers.

Other common plot types are not as suitable for this purpose:
- A line chart would imply a sequence or order, which isn’t inherent to the relationship between hp and mpg for the mtcars data.
- A bar chart or a histogram focuses on distributions or categorical comparisons, not on the relationship between two numeric variables.
- A boxplot conveys distribution by category and does not display the paired relationship between hp and mpg for individual cars.

Therefore, for assessing the association between hp and mpg in the mtcars dataset, a scatterplot is the most appropriate choice because it visualizes the joint distribution and potential correlation between these two continuous variables.

PSTAT 10 W25 Quiz 2

Analyzing the mtcars dataset in R, what type of plot would be most suitable for comparing the relationship between gross horsepower hp and miles per US gallon mpg? Help file for mtcars dataset is below

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