Homepage

Course Index

Build a Quiz

Subscriptions

Courses

NSW Y12 Maths Standard 1 NSW Y12 Maths Standard 2 NSW Y12 Maths Advanced NSW Y12 Maths Extension 1 NSW Y12 Maths Extension 2

Topics

Sequences and Series Graphs and Equations Differential Calculus Integration Exponential and Log Function Trig Functions Motion and Rates Series and Finance Descriptive Statistics Bivariant Data Analysis Random Variables

NSW Y12 Maths - Advanced Bivariant Data Analysis Scatterplots and Association

Resources for Scatterplots and Association

  • Questions

    10

    With Worked Solution
    Click Here
  • Video Tutorials

    1


    Click Here

Scatterplots and Association Theory

Bivariate data measures 2 variables on the same data set to see if they correlate with each other.\\ Scatterplots are graphed to represent the bivariant data.\\ The independent variable is on the horizontal axis and the dependent variable is on the vertical axis.\\ For example consider the number of cars in a car park and pollution. The independent variable is the number of cars and the dependent variable is pollution.\\ \textbf{Shape of Scatterplots}\\ \adjustbox{valign=t}{ \begin{tikzpicture}[ declare function={a(\x)=\x+0.3*rand;}, ] \def \domain{0.4:4} \def \xmax{5} \def \xmin{0} \def \ymax{5} \def \ymin{0} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis y line=left, axis x line=bottom, axis line style={-Stealth,very thick}, xlabel = Strong Positive Correlation, width=2in, height=2in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, xlabel style={below}, ylabel style={above}, axis on top=false, xtick distance = 6, ytick distance = 6, xtick={}, ytick={}, xticklabels={}, yticklabels={} ] %FUNCTION \addplot[only marks,samples=6,domain=\domain]{a(x)}; \end{axis} \end{tikzpicture} } \qquad \adjustbox{valign=t}{ \begin{tikzpicture}[ declare function={a(\x)=-\x+4+0.3*rand;}, ] \def \domain{0.4:4} \def \xmax{5} \def \xmin{0} \def \ymax{5} \def \ymin{0} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis y line=left, axis x line=bottom, axis line style={-Stealth,very thick}, xlabel = Strong Negative Correlation, width=2in, height=2in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, xlabel style={below}, ylabel style={above}, axis on top=false, xtick distance = 6, ytick distance = 6, xtick={}, ytick={}, xticklabels={}, yticklabels={} ] %FUNCTION \addplot[only marks,samples=6,domain=\domain]{a(x)}; \end{axis} \end{tikzpicture} } \qquad \adjustbox{valign=t}{ \begin{tikzpicture}[ declare function={a(\x)=\x+0.2+0.3*rand;}, ] \def \domain{0.4:4} \def \xmax{5} \def \xmin{0} \def \ymax{5} \def \ymin{0} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis y line=left, axis x line=bottom, axis line style={-Stealth,very thick}, xlabel = Moderate Positive Correlation, width=2in, height=2in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, xlabel style={below}, ylabel style={above}, axis on top=false, xtick distance = 6, ytick distance = 6, xtick={}, ytick={}, xticklabels={}, yticklabels={} ] %FUNCTION \addplot[only marks,samples=6,domain=\domain]{a(x)}; \addplot[only marks,samples=5,domain=\domain]{x+1+0.3*rand}; \end{axis} \end{tikzpicture} } \\ \adjustbox{valign=t}{ \begin{tikzpicture}[ declare function={a(\x)=-\x+4+0.3*rand;}, ] \def \domain{0.4:4} \def \xmax{5} \def \xmin{0} \def \ymax{5} \def \ymin{0} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis y line=left, axis x line=bottom, axis line style={-Stealth,very thick}, xlabel = Moderate Negative Correlation, width=2in, height=2in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, xlabel style={below}, ylabel style={above}, axis on top=false, xtick distance = 6, ytick distance = 6, xtick={}, ytick={}, xticklabels={}, yticklabels={} ] %FUNCTION \addplot[only marks,samples=6,domain=\domain]{a(x)}; \addplot[only marks,samples=5,domain=\domain]{-x+5+0.3*rand}; \end{axis} \end{tikzpicture} } \qquad \adjustbox{valign=t}{ \begin{tikzpicture}[ declare function={a(\x)=\x^2+1+0.5*rand;}, ] \def \domain{0.4:4} \def \xmax{5} \def \xmin{0} \def \ymax{5} \def \ymin{0} \def \xlabel{x} \def \ylabel{y} \begin{axis}[ axis y line=left, axis x line=bottom, axis line style={-Stealth,very thick}, xlabel = No Correlation, width=2in, height=2in, ymin=\ymin, ymax=\ymax, xmin=\xmin, xmax=\xmax, xlabel style={below}, ylabel style={above}, axis on top=false, xtick distance = 6, ytick distance = 6, xtick={}, ytick={}, xticklabels={}, yticklabels={} ] %FUNCTION \addplot[only marks,samples=6,domain=\domain]{a(x)}; \addplot[only marks,samples=5,domain=\domain]{-x+4+0.7*rand}; \end{axis} \end{tikzpicture} }

Create account

I am..

Please enter your details

I agree with your terms of service




Videos

Videos relating to Scatterplots and Association.

  • Scatterplots and Association - Video - Scatterplots Displaying bivariate numerical data

    You must be logged in to access this resource

Plans & Pricing

With all subscriptions, you will receive the below benefits and unlock all answers and fully worked solutions.

  • Teachers Tutors
    Features
    Free
    Pro
    All Content
    All courses, all topics
     
    Questions
     
    Answers
     
    Worked Solutions
    System
    Your own personal portal
     
    Quizbuilder
     
    Class Results
     
    Student Results
    Exam Revision
    Revision by Topic
     
    Practise Exams
     
    Answers
     
    Worked Solutions
  • Awesome Students
    Features
    Free
    Pro
    Content
    Any course, any topic
     
    Questions
     
    Answers
     
    Worked Solutions
    System
    Your own personal portal
     
    Basic Results
     
    Analytics
     
    Study Recommendations
    Exam Revision
    Revision by Topic
     
    Practise Exams
     
    Answers
     
    Worked Solutions