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16.5: Advanced Graphs (Exercises)

  • Page ID
    19159
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    General Questions

    Q1

    What are \(Q-Q\) plots useful for?

    Q2

    For the following data, plot the theoretically expected \(z\) score as a function of the actual \(z\) score (a \(Q-Q\) plot).

    0 1.2
    0 1.2
    0 1.2
    0 1.2
    0 1.3
    0 1.3
    0.1 1.3
    0.1 1.3
    0.1 1.3
    0.1 1.4
    0.1 1.4
    0.2 1.5
    0.2 1.6
    0.3 1.7
    0.3 1.7
    0.4 1.7
    0.5 1.8
    0.6 1.8
    0.6 1.9
    0.6 1.9
    0.6 2.0
    0.6 2.0
    0.6 2.0
    0.6 2.1
    0.6 2.1
    0.6 2.1
    0.7 2.1
    0.7 2.1
    0.8 2.1
    0.8 2.1
    0.8 2.3
    0.8 2.5
    0.8 2.7
    0.9 3.0
    1.0 4.2
    1.0 5.0
    1.1 5.7
    1.1 12.4
    1.2 15.2
    1.2

    Q3

    For the data in problem 2, describe how the data differ from a normal distribution.

    Questions from Case studies

    Q4

    For the "SAT and College GPA" case study data, create a contour plot looking at University GPA as a function of Math SAT and High School GPA. Naturally, you should use a computer to do this.

    Q5

    For the "SAT and College GPA" case study data, create a \(3D\) plot using the variables University GPA, Math SAT, and High School GPA. Naturally, you should use a computer to do this.


    This page titled 16.5: Advanced Graphs (Exercises) is shared under a Public Domain license and was authored, remixed, and/or curated by David Lane.

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