bb13865a-0735-48d2-89f1-41b1fd96ac36.html

<h4><span>Correlation Coefficient</span></h4>
<p dir="ltr"><span>Try matching each scatter plot to one of the following correlation coefficients:</span></p>
<p dir="ltr"><span>\(r=-0.02\), \(r=0.84\), \(r=-0.72\), \(r=0.65\)</span></p>
<p><img alt height="573" role="presentation" src="https://k12.openstax.org/contents/raise/resources/7837cdd80cc30369b7feb914b036b31f5e652daf" width="550"><br></p><br><strong>
 
  <table class="os-raise-doubleheadertable">
    <thead>
      <tr>
        <th scope="col">Scatter plot</th>
        <th scope="col">Correlation coefficient</th>
      </tr>
    </thead>
    <tbody>
      <tr>
        <th scope="row">Scatter plot A</th>
        <td> <p>\(r=-0.72\)</p></td>
      </tr>
      <tr>
        <th scope="row">Scatter plot B</th>
        <td> <p>\(r=0.84\)</p></td>
      </tr>
      <tr>
        <th scope="row">Scatter plot C</th>
        <td>    <p>\(r=-0.02\)</p></td>
      </tr>
      <tr>
        <th scope="row">Scatter plot D</th>
        <td>  <p>\(r=0.65\)</p></td>
      </tr>
    </tbody>
  </table>
</strong><br>
<h4>Try It: Correlation Coefficient</h4>
<p><span>The scatter plot below displays data on the number of defects per 100 cars and a measure of customer satisfaction (on a scale from 1 to 1,000, with higher scores indicating greater satisfaction) for the 33 brands of cars sold in the United States in 2009.</span><br></p>
<p><img alt height="315" role="presentation" src="https://k12.openstax.org/contents/raise/resources/5215ac5b50f67642084aa6de48c8e0302879f79b" width="350"></p>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
  <div class="os-raise-ib-cta-content">
    <p>Which of the following is the value of the correlation coefficient for this data set: \(r = -0.95\), \(r = -0.24\), \(r = 0.83\), or \(r = 1.00\)? Explain why you selected this value.</p>
  </div>
  <div class="os-raise-ib-cta-prompt">
    <p>Write down your answer, then select the <strong>solution</strong> button to compare your work.
    </p>
  </div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
  <p>\( r= -0.24\)</p>
  <p>There is not a strong pattern of a linear relationship with this scatter plot. Even though there is a weak relationship, there is a general pattern that as the number of defects increases, the satisfaction rating tends to decrease. As a result, the value of \(r\) is negative and close to zero. Based on the values provided, the best estimate is \(r = -0.24\).</p>
  
</div>