Maths-
General
Easy
Question
Does the scatter plot show a linear or non linear association ?
Hint:
Scatter plots are graphs that represent the relationship between two variables in a data set. It represents data points on a two dimensional plane.
The correct answer is: We are asked to check whether the scatter plot shows a linear or a nonlinear association.
Trend line on a scatter plot is used to describe the trend or the pattern of the data.
We are asked to check whether the scatter plot shows a linear or a nonlinear association.
The points in the scatter plot form a curve. Hence, the scatter plot shows a nonlinear association between the data.
The points in the scatter plot form a curve. Hence, the scatter plot shows a nonlinear association between the data.
Using scatter plots to distinguish between linear and nonlinear relationships
Step 1: Examine the scatter plot. What happens when you move to the right in general? Do the points increase in general? Get Lower? Is there no overarching pattern?
Step 2: Interpret your observations. Looking from left to right,
• If the points tend to rise in general, following a reasonably straight line, then the relationship is linear.
• The points tend to get lower generally, following a relatively straight path, which is a linear relationship.
• If the points tend to rise in general, but the path is very curved, the relationship is nonlinear.
• The points tend to get lower in general, but if the path is very curved, it is a nonlinear relationship.
• If the points do not consistently move up or down, the relationship is nonlinear.
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