<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="1:1">
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
    }
    body {
      width: 100%;
      background: #ffffff;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #1e2945;
      padding: 12px;
    }
    .grid {
      display: grid;
      grid-template-columns: repeat(2, 1fr);
      gap: 10px;
      max-width: 540px;
      margin: 0 auto;
    }
    .panel {
      background: #f8fafc;
      border: 1px solid #e2e8f0;
      border-radius: 10px;
      padding: 10px 8px 8px;
      display: flex;
      flex-direction: column;
      align-items: center;
    }
    .panel-header {
      font-size: 13px;
      font-weight: 700;
      color: #1e2945;
      margin-bottom: 6px;
      display: flex;
      align-items: center;
      gap: 6px;
    }
    .badge {
      display: inline-flex;
      align-items: center;
      justify-content: center;
      width: 18px;
      height: 18px;
      background: #0284c7;
      color: #ffffff;
      border-radius: 4px;
      font-size: 11px;
      font-weight: 800;
    }
    .plots {
      display: flex;
      width: 100%;
      gap: 6px;
      justify-content: center;
    }
    .plot-col {
      flex: 1;
      display: flex;
      flex-direction: column;
      align-items: center;
    }
    .plot-title {
      font-size: 11px;
      font-weight: 600;
      color: #64748b;
      margin-top: 4px;
      text-align: center;
    }
    svg {
      width: 100%;
      max-width: 110px;
      height: auto;
      display: block;
      background: #ffffff;
      border: 1px solid #e2e8f0;
      border-radius: 6px;
    }
    .axis {
      stroke: #cbd5e1;
      stroke-width: 1.5;
      stroke-linecap: round;
    }
    .guide {
      stroke: #93c5fd;
      stroke-width: 1.5;
      stroke-dasharray: 3 3;
      fill: none;
    }
    .pt {
      fill: #0284c7;
    }
    .pt-outlier {
      fill: #ef4444;
    }
    .outlier-label {
      font-size: 9px;
      font-weight: 700;
      fill: #ef4444;
    }
    @media (max-width: 380px) {
      body { padding: 6px; }
      .grid { gap: 6px; }
      .panel { padding: 8px 4px 6px; }
      .panel-header { font-size: 12px; }
      .plot-title { font-size: 10px; }
    }
  </style>
</head>
<body>

  <div class="grid">
    
    <div class="panel">
      <div class="panel-header"><span class="badge">D</span> Direction</div>
      <div class="plots">
        <div class="plot-col">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <line x1="20" y1="80" x2="80" y2="20" class="guide" />
            <circle cx="22" cy="76" r="3" class="pt" />
            <circle cx="32" cy="65" r="3" class="pt" />
            <circle cx="42" cy="58" r="3" class="pt" />
            <circle cx="50" cy="50" r="3" class="pt" />
            <circle cx="60" cy="42" r="3" class="pt" />
            <circle cx="68" cy="30" r="3" class="pt" />
            <circle cx="78" cy="24" r="3" class="pt" />
          </svg>
          <span class="plot-title">Positive</span>
        </div>
        <div class="plot-col">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <line x1="20" y1="20" x2="80" y2="80" class="guide" />
            <circle cx="22" cy="24" r="3" class="pt" />
            <circle cx="30" cy="32" r="3" class="pt" />
            <circle cx="40" cy="44" r="3" class="pt" />
            <circle cx="52" cy="50" r="3" class="pt" />
            <circle cx="62" cy="60" r="3" class="pt" />
            <circle cx="70" cy="68" r="3" class="pt" />
            <circle cx="78" cy="76" r="3" class="pt" />
          </svg>
          <span class="plot-title">Negative</span>
        </div>
      </div>
    </div>

    
    <div class="panel">
      <div class="panel-header"><span class="badge">F</span> Form</div>
      <div class="plots">
        <div class="plot-col">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <line x1="20" y1="75" x2="80" y2="25" class="guide" />
            <circle cx="22" cy="72" r="3" class="pt" />
            <circle cx="34" cy="64" r="3" class="pt" />
            <circle cx="44" cy="54" r="3" class="pt" />
            <circle cx="56" cy="46" r="3" class="pt" />
            <circle cx="66" cy="36" r="3" class="pt" />
            <circle cx="78" cy="27" r="3" class="pt" />
          </svg>
          <span class="plot-title">Linear</span>
        </div>
        <div class="plot-col">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <path d="M 20 28 Q 50 85 80 28" class="guide" />
            <circle cx="22" cy="30" r="3" class="pt" />
            <circle cx="32" cy="50" r="3" class="pt" />
            <circle cx="42" cy="62" r="3" class="pt" />
            <circle cx="50" cy="65" r="3" class="pt" />
            <circle cx="58" cy="62" r="3" class="pt" />
            <circle cx="68" cy="50" r="3" class="pt" />
            <circle cx="78" cy="30" r="3" class="pt" />
          </svg>
          <span class="plot-title">Non-linear</span>
        </div>
      </div>
    </div>

    
    <div class="panel">
      <div class="panel-header"><span class="badge">S</span> Strength</div>
      <div class="plots">
        <div class="plot-col">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <circle cx="22" cy="74" r="3" class="pt" />
            <circle cx="31" cy="67" r="3" class="pt" />
            <circle cx="40" cy="59" r="3" class="pt" />
            <circle cx="50" cy="50" r="3" class="pt" />
            <circle cx="61" cy="41" r="3" class="pt" />
            <circle cx="70" cy="33" r="3" class="pt" />
            <circle cx="78" cy="26" r="3" class="pt" />
          </svg>
          <span class="plot-title">Strong</span>
        </div>
        <div class="plot-col">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <circle cx="24" cy="60" r="3" class="pt" />
            <circle cx="30" cy="80" r="3" class="pt" />
            <circle cx="36" cy="40" r="3" class="pt" />
            <circle cx="48" cy="68" r="3" class="pt" />
            <circle cx="52" cy="34" r="3" class="pt" />
            <circle cx="64" cy="58" r="3" class="pt" />
            <circle cx="70" cy="26" r="3" class="pt" />
            <circle cx="78" cy="48" r="3" class="pt" />
          </svg>
          <span class="plot-title">Weak</span>
        </div>
      </div>
    </div>

    
    <div class="panel">
      <div class="panel-header"><span class="badge">O</span> Outliers</div>
      <div class="plots">
        <div class="plot-col" style="max-width: 150px;">
          <svg viewBox="0 0 100 100">
            <line x1="12" y1="88" x2="88" y2="88" class="axis" />
            <line x1="12" y1="88" x2="12" y2="12" class="axis" />
            <line x1="20" y1="78" x2="80" y2="30" class="guide" />
            
            <circle cx="22" cy="75" r="3" class="pt" />
            <circle cx="32" cy="68" r="3" class="pt" />
            <circle cx="42" cy="60" r="3" class="pt" />
            <circle cx="52" cy="52" r="3" class="pt" />
            <circle cx="62" cy="44" r="3" class="pt" />
            <circle cx="72" cy="36" r="3" class="pt" />
            <circle cx="80" cy="30" r="3" class="pt" />
            
            <circle cx="78" cy="74" r="4.5" class="pt-outlier" />
            <text x="74" y="64" class="outlier-label" text-anchor="middle">Outlier</text>
          </svg>
          <span class="plot-title">Isolated Point</span>
        </div>
      </div>
    </div>
  </div>

</body>
</html>

Bivariate Data: Scatter Diagrams and Linear Correlation

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    body {
      font-family: system-ui, -apple-system, sans-serif;
      background: #ffffff;
      color: #1e2945;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: space-between;
      min-height: 100%;
      padding: 10px 12px 14px;
      user-select: none;
    }
    .plot-container {
      width: 100%;
      max-width: 520px;
      position: relative;
    }
    svg {
      width: 100%;
      height: auto;
      display: block;
      overflow: visible;
    }
    .grid-line {
      stroke: #f1f5f9;
      stroke-width: 1;
    }
    .axis-line {
      stroke: #94a3b8;
      stroke-width: 1.5;
    }
    .axis-label {
      font-size: 11px;
      fill: #64748b;
      font-weight: 500;
    }
    .axis-title {
      font-size: 12px;
      fill: #334155;
      font-weight: 600;
    }
    .layer {
      transition: opacity 0.35s ease, transform 0.35s ease;
      opacity: 0;
      pointer-events: none;
    }
    .layer.active {
      opacity: 1;
    }
    .data-point {
      transition: transform 0.2s ease, r 0.2s ease;
    }
    .outlier-point {
      fill: #ef4444;
      stroke: #ffffff;
      stroke-width: 1.5;
    }
    .btn-group {
      display: flex;
      flex-wrap: wrap;
      gap: 6px;
      justify-content: center;
      width: 100%;
      max-width: 520px;
      margin-top: 8px;
    }
    .btn {
      background: #f8fafc;
      border: 1px solid #cbd5e1;
      border-radius: 6px;
      padding: 6px 10px;
      font-size: 12px;
      font-weight: 600;
      color: #475569;
      cursor: pointer;
      display: inline-flex;
      align-items: center;
      gap: 4px;
      transition: all 0.2s ease;
    }
    .btn:hover {
      background: #f1f5f9;
      color: #1e2945;
    }
    .btn.active {
      background: #0284c7;
      border-color: #0284c7;
      color: #ffffff;
      box-shadow: 0 1px 3px rgba(2, 132, 199, 0.3);
    }
    .btn.active.btn-outlier {
      background: #ef4444;
      border-color: #ef4444;
      box-shadow: 0 1px 3px rgba(239, 68, 68, 0.3);
    }
  </style>
</head>
<body>

  <div class="plot-container">
    <svg viewBox="0 0 520 320" aria-label="Scatter plot of delivery van commute distance vs gas used">
      
      <g>
        
        
        <line class="grid-line" x1="60" y1="260" x2="480" y2="260"/>
        <line class="grid-line" x1="60" y1="221.7" x2="480" y2="221.7"/>
        <line class="grid-line" x1="60" y1="183.3" x2="480" y2="183.3"/>
        <line class="grid-line" x1="60" y1="145" x2="480" y2="145"/>
        <line class="grid-line" x1="60" y1="106.7" x2="480" y2="106.7"/>
        <line class="grid-line" x1="60" y1="68.3" x2="480" y2="68.3"/>
        <line class="grid-line" x1="60" y1="30" x2="480" y2="30"/>

        
        
        <line class="grid-line" x1="60" y1="30" x2="60" y2="260"/>
        <line class="grid-line" x1="120" y1="30" x2="120" y2="260"/>
        <line class="grid-line" x1="180" y1="30" x2="180" y2="260"/>
        <line class="grid-line" x1="240" y1="30" x2="240" y2="260"/>
        <line class="grid-line" x1="300" y1="30" x2="300" y2="260"/>
        <line class="grid-line" x1="360" y1="30" x2="360" y2="260"/>
        <line class="grid-line" x1="420" y1="30" x2="420" y2="260"/>
        <line class="grid-line" x1="480" y1="30" x2="480" y2="260"/>

        
        <line class="axis-line" x1="60" y1="260" x2="485" y2="260"/>
        <line class="axis-line" x1="60" y1="260" x2="60" y2="25"/>

        
        <text class="axis-label" x="50" y="264" text-anchor="end">0</text>
        <text class="axis-label" x="50" y="225.7" text-anchor="end">1</text>
        <text class="axis-label" x="50" y="187.3" text-anchor="end">2</text>
        <text class="axis-label" x="50" y="149" text-anchor="end">3</text>
        <text class="axis-label" x="50" y="110.7" text-anchor="end">4</text>
        <text class="axis-label" x="50" y="72.3" text-anchor="end">5</text>
        <text class="axis-label" x="50" y="34" text-anchor="end">6</text>

        
        <text class="axis-label" x="60" y="278" text-anchor="middle">0</text>
        <text class="axis-label" x="120" y="278" text-anchor="middle">10</text>
        <text class="axis-label" x="180" y="278" text-anchor="middle">20</text>
        <text class="axis-label" x="240" y="278" text-anchor="middle">30</text>
        <text class="axis-label" x="300" y="278" text-anchor="middle">40</text>
        <text class="axis-label" x="360" y="278" text-anchor="middle">50</text>
        <text class="axis-label" x="420" y="278" text-anchor="middle">60</text>
        <text class="axis-label" x="480" y="278" text-anchor="middle">70</text>

        
        <text class="axis-title" x="270" y="306" text-anchor="middle">Commute Distance (miles)</text>
        <text class="axis-title" x="18" y="145" text-anchor="middle" transform="rotate(-90 18 145)">Gasoline Used (gal)</text>
      </g>

      
      
      <g id="layer-strength" class="layer active">
        
        <ellipse cx="270" cy="169.5" rx="175" ry="24" transform="rotate(-27.2 270 169.5)" fill="rgba(2, 132, 199, 0.12)" stroke="#0284c7" stroke-width="1.5" stroke-dasharray="4 3"/>
        <rect x="350" y="90" width="94" height="20" rx="4" fill="#f0f9ff" stroke="#bae6fd"/>
        <text x="397" y="104" font-size="11" fill="#0369a1" font-weight="600" text-anchor="middle">High Strength</text>
      </g>

      
      <g id="layer-direction" class="layer">
        <defs>
          <marker id="arrow" viewBox="0 0 10 10" refX="6" refY="5" markerWidth="6" markerHeight="6" orient="auto-start-reverse">
            <path d="M 0 1 L 8 5 L 0 9 z" fill="#0284c7" />
          </marker>
        </defs>
        <line x1="100" y1="256" x2="455" y2="74" stroke="#0284c7" stroke-width="3" stroke-linecap="round" marker-end="url(#arrow)"/>
        <rect x="250" y="112" width="112" height="20" rx="4" fill="#f0f9ff" stroke="#bae6fd"/>
        <text x="306" y="126" font-size="11" fill="#0369a1" font-weight="600" text-anchor="middle">Positive Direction ↗</text>
      </g>

      
      <g id="layer-form" class="layer">
        <line x1="75" y1="269" x2="455" y2="74" stroke="#0284c7" stroke-width="2.5"/>
        <rect x="135" y="200" width="86" height="20" rx="4" fill="#f0f9ff" stroke="#bae6fd"/>
        <text x="178" y="214" font-size="11" fill="#0369a1" font-weight="600" text-anchor="middle">Linear Form</text>
      </g>

      
      <g id="layer-outlier" class="layer active">
        <circle cx="210" cy="76" r="14" fill="none" stroke="#ef4444" stroke-width="2" stroke-dasharray="3 3"/>
        
        <path d="M 223 72 L 244 58" stroke="#ef4444" stroke-width="1.5"/>
        <rect x="245" y="44" width="168" height="24" rx="5" fill="#fef2f2" stroke="#fca5a5" stroke-width="1"/>
        <text x="329" y="60" font-size="11" fill="#b91c1c" font-weight="600" text-anchor="middle">Outlier: Van with fuel leak</text>
      </g>

      
      <g>
        <circle class="data-point" cx="120" cy="229.3" r="5.5" fill="#0284c7" stroke="#ffffff" stroke-width="1.5"/>
        <circle class="data-point" cx="180" cy="202.4" r="5.5" fill="#0284c7" stroke="#ffffff" stroke-width="1.5"/>
        <circle class="data-point" cx="240" cy="179.3" r="5.5" fill="#0284c7" stroke="#ffffff" stroke-width="1.5"/>
        <circle class="data-point" cx="300" cy="152.4" r="5.5" fill="#0284c7" stroke="#ffffff" stroke-width="1.5"/>
        <circle class="data-point" cx="360" cy="129.3" r="5.5" fill="#0284c7" stroke="#ffffff" stroke-width="1.5"/>
        <circle class="data-point" cx="420" cy="102.4" r="5.5" fill="#0284c7" stroke="#ffffff" stroke-width="1.5"/>

        
        <circle class="data-point outlier-point" cx="210" cy="76" r="6"/>
      </g>
    </svg>
  </div>

  
  <div class="btn-group">
    <button class="btn" id="btn-direction" onclick="toggleFeature('direction')">Direction</button>
    <button class="btn" id="btn-form" onclick="toggleFeature('form')">Form</button>
    <button class="btn active" id="btn-strength" onclick="toggleFeature('strength')">Strength</button>
    <button class="btn active btn-outlier" id="btn-outlier" onclick="toggleFeature('outlier')">Outlier</button>
  </div>

  <script>
    function toggleFeature(name) {
      const layer = document.getElementById('layer-' + name);
      const btn = document.getElementById('btn-' + name);
      const isActive = layer.classList.contains('active');

      if (isActive) {
        layer.classList.remove('active');
        btn.classList.remove('active');
      } else {
        layer.classList.add('active');
        btn.classList.add('active');
      }
    }
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    body {
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      color: #111827;
      background: transparent;
      padding: 10px 8px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100%;
    }
    .plots-grid {
      display: grid;
      grid-template-columns: repeat(auto-fit, minmax(260px, 1fr));
      gap: 16px;
      width: 100%;
      max-width: 620px;
    }
    .plot-card {
      display: flex;
      flex-direction: column;
      align-items: center;
      padding: 4px;
    }
    .badge {
      display: inline-flex;
      align-items: center;
      gap: 6px;
      font-size: 13px;
      font-weight: 700;
      padding: 4px 12px;
      border-radius: 20px;
      margin-bottom: 4px;
    }
    .badge-valid {
      background: #dcfce7;
      color: #15803d;
    }
    .badge-invalid {
      background: #fee2e2;
      color: #b91c1c;
    }
    .plot-desc {
      font-size: 12px;
      font-weight: 600;
      color: #374151;
      text-align: center;
      margin-bottom: 6px;
      min-height: 32px;
      display: flex;
      align-items: center;
      justify-content: center;
      line-height: 1.3;
    }
    svg {
      width: 100%;
      height: auto;
      max-height: 185px;
      display: block;
    }
    .axis-line { stroke: #4b5563; stroke-width: 1.5; }
    .grid-line { stroke: #cbd5e1; stroke-width: 1; stroke-dasharray: 2,2; }
    .tick-text { font-size: 10px; fill: #1f2937; font-weight: 600; }
    .point { fill: #2563eb; stroke: #ffffff; stroke-width: 1.5; }
    .line-linear { stroke: #16a34a; stroke-width: 2.5; stroke-linecap: round; }
    .curve-true { stroke: #16a34a; stroke-width: 2.5; fill: none; stroke-linecap: round; }
    .line-wrong { stroke: #dc2626; stroke-width: 2; stroke-dasharray: 4,4; }
    .legend {
      display: flex;
      align-items: center;
      justify-content: center;
      flex-wrap: wrap;
      gap: 12px;
      margin-top: 8px;
      font-size: 11px;
      font-weight: 600;
      color: #1f2937;
    }
    .legend-item { display: flex; align-items: center; gap: 5px; }
    .dot-sample { width: 8px; height: 8px; border-radius: 50%; background: #2563eb; flex-shrink: 0; }
    .line-sample-green { width: 14px; height: 3px; background: #16a34a; border-radius: 2px; flex-shrink: 0; }
    .line-sample-red { width: 14px; height: 0; border-top: 2px dashed #dc2626; flex-shrink: 0; }
  </style>
</head>
<body>

  <div class="plots-grid">
    
    <div class="plot-card">
      <div class="badge badge-valid">✓ Linear</div>
      <div class="plot-desc">Constant rate of change</div>
      <svg id="svgA" viewBox="0 0 240 160"></svg>
      <div class="legend">
        <div class="legend-item"><span class="dot-sample"></span> Data</div>
        <div class="legend-item"><span class="line-sample-green"></span> Linear fit (valid)</div>
      </div>
    </div>

    
    <div class="plot-card">
      <div class="badge badge-invalid">⚠️ Non-linear</div>
      <div class="plot-desc">Strong relationship, but<br>zero linear trend overall</div>
      <svg id="svgB" viewBox="0 0 240 160"></svg>
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        <div class="legend-item"><span class="line-sample-green"></span> True curve</div>
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<body>

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    <div class="table-container">
      <table>
        <thead>
          <tr>
            <th>Hours (x)</th>
            <th>Score (y)</th>
            <th>Point (x, y)</th>
          </tr>
        </thead>
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            <td>65</td>
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            <td>72</td>
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            <td>4</td>
            <td>88</td>
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            <td>94</td>
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Calculating and Interpreting the Pearson Correlation Coefficient

Distinguishing Correlation from Causation and Lurking Variables

Fitting Least-Squares Linear Regression Lines and Analyzing Residuals

Making Predictions from Linear Models

Identifying Linear, Quadratic, and Exponential Patterns in Scatter Plots

Fitting and Interpreting Quadratic Regression Models

Fitting and Interpreting Exponential Regression Models

math

Bivariate Data, Correlation, and Regression Modeling

What Is Mathematical Modeling?

Identifying Linear Patterns in Data Tables

Identifying Quadratic Patterns in Data Tables

Identifying Exponential Patterns in Data Tables

Using First Differences to Detect Linear Models

Using Second Differences to Detect Quadratic Models

Using Constant Ratios to Detect Exponential Models

Recognizing Mathematical Patterns in Data Tables

Creating Scatter Plots from Data

Reading Scatter Plot Shapes for Model Type

Comparing Linear and Exponential Growth Rates

Distinguishing Quadratic from Exponential Patterns

Writing Linear Functions from Data

Writing Quadratic Functions from Data

Writing Exponential Functions from Data

Visualizing Data and Writing Model Functions

Using Technology to Fit Models to Data

Understanding Residuals and Model Fit

Comparing Models Using Residuals

Selecting the Best Model from Multiple Candidates

Interpreting Slope in Linear Models

Interpreting Parameters in Exponential Models

Making Predictions with Selected Models

Evaluating Model Fit and Selecting the Best Model

Real-World Modeling: Population Growth

Real-World Modeling: Projectile Motion

Real-World Modeling: Compound Interest and Decay

Mixed Practice: Selecting and Writing Models from Data

Applying Mathematical Models to Real-World Problems

Domain and Range of Exponential Functions

Domain and Range of Exponential Functions from Graphs

Using Technology to Explore Exponential Functions

Exponential Growth and Decay Word Problems

Domain, Range, and Technology Applications of Exponential Functions

Solving Quadratic Equations from Word Problems

Solving Area Problems with Quadratic Equations

Solving Projectile Motion Problems with Quadratics

Using Technology to Fit Quadratic Functions to Data

Applications of Quadratic Equations

Introduction to Bivariate Data and Scatter Plots

Creating Scatter Plots from Bivariate Data

Identifying Patterns in Scatter Plots

Identifying Positive, Negative, and No Correlation

Describing the Strength of Linear Association

Bivariate Data and Scatter Plots

Understanding the Correlation Coefficient r

Calculating the Correlation Coefficient Using Technology

Interpreting the Correlation Coefficient as Strength of Association

Distinguishing Correlation from Causation

Drawing Lines of Best Fit on Scatter Plots

Making Predictions from Scatter Plots and Lines of Best Fit

Analyzing Real-World Data with Correlation and Regression

Correlation Coefficient and Linear Regression

Understanding Association vs Causation

Identifying Confounding Variables in Data

Comparing Association and Causation in Real-World Problems

Evaluating Causation Claims from Data Analysis

Interpreting Association and Causation

Using Fitted Functions to Solve Real-World Problems

Writing Linear Regression Equations from Scatter Plots

Fitting Linear Models Using Technology

Estimating Solutions Using Fitted Linear Models

Making Predictions from Fitted Linear Models

Evaluating the Reasonableness of Linear Model Predictions

Association, Causation, and Linear Models Review

Fitting and Interpreting Linear Models

Data Modeling with Functions

Introduction to Scatter Plots

Patterns in Scatter Plots: Positive, Negative, No Correlation

Drawing Lines of Best Fit

Scatter Plots and Lines of Best Fit

Tablas de contingencia o doble entrada

Frecuencias relativas marginales y condicionales

Diagramas de dispersión y asociación entre variables

Tipo de correlación lineal: positiva, negativa y nula

Recta de tendencia o de mejor ajuste

Interpolación y extrapolación con la recta de ajuste

Diferencia entre correlación y causalidad

Distorsión y manipulación en gráficos estadísticos (medios de comunicación)

OGM.10.STP.3

Aligned learning resources

Related diagrams