Question
The Scatter plot shows the average heights oof children ages 2-12 in a certain country. Which line is the best model of the data ?
Hint:
A strong association of a scatter plot happens when the points are clustered around the trend line. A trend line describes the pattern of a data set. A trend line with the strong association is the best model of a data.
We are asked to find the line that best models the scatter plot.
The correct answer is: We are asked to find the line that best models the scatter plot.
ANSWER:
Step 1 of 1:
Here, line m is the best model of the data.
The line has all the points clustered around it. This is an indication of a strong association. Thus, line m represents the data in the best way possible compared to all other lines.
The remaining lines have points far away from them, which is an indication of weak association.
Here, line m is the best model of the data.
The line has all the points clustered around it. This is an indication of a strong association. Thus, line m represents the data in the best way possible compared to all other lines.
The remaining lines have points far away from them, which is an indication of weak association.
Line with strong association is the best model of a data rather than lines with weak association.
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Does the scatter plot show a linear or non linear association ?
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.
Does the scatter plot show a linear or non linear association ?
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.
