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<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="2bad76be-3496-4a7a-840a-c5452fb7b798" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--Q1-->
<div class="os-raise-ib-pset-problem" data-content-id="2c4b3d09-ef7f-4dc9-88bc-62b23bd166e1" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="As the number of hours worked increases, the total dollars earned increases." data-solution-options='["As the number of hours worked increases, the total dollars earned decreases.", "As the number of hours worked increases, the total dollars earned increases.", "As the number of hours worked decreases, the total dollars earned increases.", "As the number of hours worked increases, the total dollars earned remains unchanged."]'>
<div class="os-raise-ib-pset-problem-content">
<p>1. The number of hours worked, \(x\), and the total dollars earned, \(y\), have a strong positive relationship.</p>
<p>Explain what it means to have a strong positive relationship in this situation.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! As the number of hours worked increases, the total dollars earned increases.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is as the number of hours worked increases, the total dollars earned increases. </p>
</div>
</div>
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="4239831a-11a8-430b-9f12-9728cbb541c9" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="As the number of minutes the customer waits on the phone increases, the customer satisfaction rating decreases." data-solution-options='["As the number of minutes the customer waits on the phone increases, the customer satisfaction rating decreases.", "As the number of minutes the customer waits on the phone decreases, the customer satisfaction rating remains unchanged." , "As the number of minutes the customer waits on the phone decreases, the customer satisfaction rating decreases.", "As the number of minutes the customer waits on the phone increases, the customer satisfaction rating increases."]'>
<div class="os-raise-ib-pset-problem-content">
<p>2. The number of minutes on the phone and the customer satisfaction rating have a weak negative relationship. </p>
<p>Explain what it means to have a weak negative relationship in this context.</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! As the number of minutes the customer waits on the phone increases, the customer satisfaction rating decreases.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.5.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is as the number of minutes the customer waits on the phone increases, the customer satisfaction rating decreases. </p>
</div>
</div>
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="4a9a07e0-d20f-436c-a54e-37744d12d3bd" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(r \approx 0.96\)" data-solution-options='["\\(r \\approx -0.96\\)", "\\(r \\approx 0.96\\)", "\\(r \\approx 0.04\\)", "\\(r \\approx -0.04\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>For questions 3 to 6, use a graphing calculator to answer the questions. Technology required.</p>
<ol class="os-raise-noindent" start="3" type="1">
<li>Use technology to find the equation of the line of best fit. What is the value of the correlation coefficient?</li>
</ol>
<table class="os-raise-skinnytable">
<thead>
<tr>
<th scope="col">x</th>
<th scope="col">y</th>
</tr>
</thead>
<tbody>
<tr>
<td><p>5</p></td>
<td><p>2</p></td>
</tr>
<tr>
<td><p>6</p></td>
<td><p>4.6</p></td>
</tr>
<tr>
<td><p>7.5</p></td>
<td><p>7.2</p></td>
</tr>
<tr>
<td><p>8</p></td>
<td><p>8.4</p></td>
</tr>
<tr>
<td><p>8.3</p></td>
<td><p>8.2</p></td>
</tr>
<tr>
<td><p>9</p></td>
<td><p>9.1</p></td>
</tr>
<tr>
<td><p>10.2</p></td>
<td><p>10.3</p></td>
</tr>
<tr>
<td><p>11.4</p></td>
<td><p>9.9</p></td>
</tr>
<tr>
<td><p>11.4</p></td>
<td><p>11</p></td>
</tr>
<tr>
<td><p>12</p></td>
<td><p>12.5</p></td>
</tr>
</tbody>
</table>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The line of best fit is \(y=1.25x - 2.79\), so the value of the correlation coefficient is \(r \approx 0.96\) </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p> The correct answer is; The line of best fit is \(y=1.25x-2.79\), so the value of the correlation coefficient is \(r \approx 0.96\) </p>
</div>
</div>
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="65413b30-fc8f-4e17-8f52-7aef7a52f89c" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(r \approx 0.83\)" data-solution-options='["\\(r \\approx 0.27\\)", "\\(r \\approx -0.83\\)", "\\(r \\approx 0.83\\)", "\\(r \\approx -0.27\\)"]'>
<div class="os-raise-ib-pset-problem-content"> <br>
<p>For questions 4—6 use the following scenario.</p>
<blockquote>
<p>The Collegiate Review publishes information about colleges and universities. The data below are for six public 4-year colleges in New York. Graduation rate is the percentage of students who graduate within six years. Student-to-faculty ratio is the number of students per full-time faculty member.</p>
<table class="os-raise-wideadjustedtable">
<thead>
<tr>
<th scope="col">School</th>
<th scope="col">Number of Full-Time Students</th>
<th scope="col">Student-to-Faculty Ratio</th>
<th scope="col">Graduation Rate</th>
</tr>
</thead>
<tbody>
<tr>
<td>CUNY Bernard M. Baruch College</td>
<td>11,477</td>
<td>17</td>
<td>63</td>
</tr>
<tr>
<td>CUNY Brooklyn College</td>
<td>9,876</td>
<td>15.3</td>
<td>48</td>
</tr>
<tr>
<td>CUNY City College</td>
<td>10,047</td>
<td>13.1</td>
<td>40</td>
</tr>
<tr>
<td>SUNY at Albany</td>
<td>14,013</td>
<td>19.5</td>
<td>64</td>
</tr>
<tr>
<td>SUNY at Binghamton</td>
<td>13,031</td>
<td>20</td>
<td>77</td>
</tr>
<tr>
<td>SUNY College at Buffalo</td>
<td>9,398</td>
<td>14.1</td>
<td>47</td>
</tr>
</tbody>
</table>
</blockquote>
<br>
<p>4. Use technology to calculate the value of the correlation coefficient between the number of full-time students and graduation rate. Let 𝒙 represent the number of full-time students and \(𝒚\) represent the graduation rate. Round to the nearest hundredth. </p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The correlation coefficient is \(r\) ≈\(0.83\). </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p> Let \(x\) represent the number of full-time students and \(y\) represent the graduation rate. The correlation coefficient is \(r\) ≈\(0.83\). </p>
</div>
</div>
<!--Q5-->
<div class="os-raise-ib-pset-problem" data-content-id="049d3ea1-66df-4bc2-8409-56a4e085768f" data-problem-type="dropdown" data-retry-limit="2" data-solution="strong" data-solution-options='["weak", "moderate", "strong"]'>
<div class="os-raise-ib-pset-problem-content">
<p>5. Is the linear relationship between graduation rate and number of full-time students weak, moderate, or strong? </p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Based on the table presented in the lesson, the linear relationship between graduation rate and the number of full-time students is strong. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Based on the table presented in the lesson, the linear relationship between graduation rate and the number of full-time students is strong. </p>
</div>
</div>
<!--6.-->
<div class="os-raise-ib-pset-problem" data-content-id="adc266aa-07d1-40c1-b0dc-f597eed1da2a" data-problem-type="multiplechoice" data-retry-limit="3" data-solution="\(r \approx 0.95\)" data-solution-options='["\\(r \\approx 0.95\\)", "\\(r \\approx -0.95\\)", "\\(r \\approx 0.05\\)", "\\(r \\approx -0.05\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>6. Let \(x\) represent the student-to-faculty ratio and the \(y\) represent the graduation rate. Use technology to calculate the value of the correlation coefficient between the
student-to-faculty ratio and the graduation rate. Round to the nearest
hundredth. </p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The correlation coefficient is \(r\) ≈ \(0.95\)</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.5.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: The correlation coefficient is \(r\) ≈ \(0.95\).</p>
</div>
</div>
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<div class="os-raise-ib-pset-correct-response">
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</div>
<div class="os-raise-ib-pset-encourage-response">
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</div>
</div>