
WEEK 19-SCATTER-PLOT-OF-DATA
VIMSCHOOL
Created on September 20, 2024
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Transcript
Objectives
Start
Scatter Plot of Data
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2
Story
Scatter Plots
Other Patterns
Summary
Patterns of Association
Story
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Scatter Plots
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A scatter plot is a graphical representation of two variable data.
Example 1: A company conducted research to find out the relationship between hours studied and test scores obtaining the following scatter plot.
It allows us to observe relationships and patterns within the data.
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Each point represents one data obtained e.g. for 1 hour of study the score is 40%
Structure of a Scatter Plot
Data
Observation
Scatter Plot
Line of Fitting
Data are observations collected for some purpose.
A line that describes the overall behavior of the observations despite it does not pass through all the points.
A scatter plot is a graphical representation of two variable observations.
Each point on the scatter plot corresponds to one observation, with one variable plotted on the x-axis and another on the y-axis.
Example 1: Plot the following data in a scatter plot.
Creating a Scatter Plot
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1. Identify each observation as a pair (x,y)
2. Place each observation on a Cartesian plane.
3. Note that none of the data could pass through a unique line. In this case, we say the data is dispersed.
Patterns of Association in Data
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By examining the scatter plot, we can identify the relationship between the variables:
Positive, negative, or no association (correlation)
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Interpreting Scatter Plots
Positive ASsOCIation
nEgative ASsOCIation
no ASsOCIation
As x increases y decreases
As x increases y increases
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As x changes, not a unique change of y
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When two variables move in the same direction, it’s called positive correlation (association).
A negative correlation (association) occurs when one variable increases while the other decreases.
No correlation (association) means no discernible relationship between the two variables.
Height of a Student
Height of a person was measured at different ages. The results are found in the table:
Plot data in the scatter plot and determine if data follow a positive, negative or no association.
Click here to draw >
Solution
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Data follows a positive association.
Other Patterns
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🗨️
Not always dispersed data means no association. Sometimes association is not linear
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No association
Non linear association
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🗨️
Also, there is some strength in the association depending on how much dispersed the data are.
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Strongassociation
Weak association
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Try it by yourself:
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POSITIVE ASSOCIATION
OTHER PATTERNS
NEGATIVE ASSOCIATION
NO ASSOCIATION
Summary:Scatter Plots
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Welcome 6th graders!
A journey soon begin through Social Science experiences!
Great job!
See you next time
8TH-SCATTER-PLOT-OF-DATA-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
It is highly advised to have:
MATERIAL
- Grid paper.
- Pencils of different colors.
- Eraser.
- A rule.
- A compass.
- A Protactor.
- A calculator.
- Geogebra installed on your phone/tablet/computer (or use online version).
"MA.8.DP.1 Represent and investigate numerical bivariate data."MA.8.DP.1.1 Given a set of real-world bivariate numerical data, construct a scatter plot or a line graph as appropriate for the context.MA.8.DP.1.2 Given a scatter plot within a real-world context, describe patterns of association.MA.K12.MTR.7.1 Apply mathematics to real-world contexts.MA.K12.MTR.2.1 "Demonstrate understanding by representing problems in multipleways."ELA.K12.EE.2.1 Read and comprehend grade-level complex texts proficiently.