A scatter diagram can show whether a pair of variables has a strong or weak relationship, and also whether it is linear or curved.

Question

BlackTom AI · Accepted Answer

The statement and its options concern what a scatter diagram (scatter plot) can convey about two variables.
Option 1: True. A scatter plot is a graphical representation that displays individual data points for a pair of variables, allowing us to visually assess the strength of the relationship (how tightly the points cluster) and the form of the relationship (whether the pattern appears linear or curved). If the points lie roughly along a straight line, the relationship is approximately linear and strong; if they form a clear curved pattern, the relationship is nonlinear; if the points are widely scattered, the relationship is weak. Additionally, scatter plots can reveal potential nonlinear trends, clusters, and outliers that influence the observed association.
Option 2: False. Claiming that a scatter diagram cannot show linear versus curved patterns would be incorrect because the visual pattern of the points directly indicates linearity or curvature. Moreover, suggesting it cannot indicate strength ignores the familiar idea that tighter clustering around a pattern signals a stronger relationship, while a looser scatter indicates a weaker one. While quantitative measures like correlation quantify strength, the plot itself is a diagnostic tool for both strength and the type (linear vs non-linear) of the relationship.
In summary, the scatter diagram serves as a graphical aid for assessing both the strength of association and whether the relationship is linear or curved, and it can also reveal other features such as outliers or clusters that affect interpretation.

OSC 2030-009 Fall 2025 SUBMIT: Graded Homework Module 1 (Chap 1&2)

A scatter diagram can show whether a pair of variables has a strong or weak relationship, and also whether it is linear or curved.

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OSC 2030-009 Fall 2025 SUBMIT: Graded Homework Module 1 (Chap 1&2)

A scatter diagram can show whether a pair of variables has a strong or weak relationship, and also whether it is linear or curved.

查看解析

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类似问题

Which of the following will graphically show whether there is relationship between two variables?

Which of the following will graphically show whether there is relationship between two variables?

When constructing a Scatter Plot, the ____________________ variable is placed on the vertical axis and the ________________ variable is placed on the horizontal axis.

Question at position 13 Which chart type is most appropriate for displaying the relationship between two continuous variables?Scatter plotHistogramBar chartPie chart

位置38的问题 The height and weight are recorded by the school nurse for every student in a school. What type of graph would best display the relationship between height and weight?scatter diagramhistogramstem-and-leaf plotbar graph

Which of the following chart is used to test the linear relationship between continuous variables?

To show the relationship between amount of rainfall and the number of car accidents, the best type of graph to use is a scatter diagram.

更多留学生实用工具

希望你的学习变得更简单

When constructing a Scatter Plot, the ____ variable is placed on the vertical axis and the variable is placed on the horizontal axis.