Which type of plot would BEST represent the following data:

A movie theatre manager wants to know if the longer the time between showings of a movie, the greater the sales of concession items. For one month, she varies the time between showings and calculates the sales. Assess whether longer time gaps produce higher sales.

Histogram

Question

Which type of plot would BEST represent the following data:

A movie theatre manager wants to know if the longer the time between showings of a movie, the greater the sales of concession items. For one month, she varies the time between showings and calculates the sales. Assess whether longer time gaps produce higher sales.

Histogram

BlackTom AI · Accepted Answer

The scenario involves exploring a potential relationship between two quantitative variables: the time between showings (independent variable) and sales of concession items (dependent variable). 
A scatterplot is well suited for assessing the association between two numeric variables because it can reveal trends, patterns, or correlations, such as whether longer time gaps correspond to higher sales. 
If we used a histogram, it would display the distribution of a single variable (e.g., the distribution of time gaps or the distribution of sales) rather than showing how the two variables relate to each other, so it would not effectively illustrate the requested relationship. 
Since the prompt mentions a scatter-like relationship inquiry (does increasing one variable relate to increasing the other?), a scatterplot directly supports evaluating that potential relationship and identifying any linear, curvilinear, or no association between time between showings and sales. 
Given that no other options are provided, the key idea is that this type of plot is intended to show how changes in time between showings might be associated with changes in concession sales, rather than summarizing the data distribution for a single variable.

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