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<p>Complete the following questions to practice the skills you have learned in this lesson.<br></p>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="f91d434f-a894-4648-8b32-7191916024f1" 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="30068c90-b089-4b92-a495-446e12f918e8" data-problem-type="dropdown" data-retry-limit="1" data-solution="For every 318 at bats, there are 80 hits." data-solution-options='["For every 318 at bats, there are 80 hits.", "For every 80 at bats, there are 318 hits."]'>
<div class="os-raise-ib-pset-problem-content">
<p>1. <span>The scatter plot shows the number of times a player came to bat and the number of hits they had.</span></p>
<p><img alt="A scatter plot. Horizontal, 0 to 600, by 50’s, labeled at bats. Vertical, 0 to 150, by 12 point 5’s, labeled hits. 19 dots trend linearly up and to the right." height="322" src="https://k12.openstax.org/contents/raise/resources/5f26a53b3c89edd866e7f9aa2db6ccf666bf83a7" width="310"><br></p>
<div>
<p>The scatter plot includes a point at \((318,80)\). Describe the meaning of this point in this situation.</p>
</div>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! For every 318 at bats, there are 80 hits. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is that for every 318 at bats, there are 80 hits. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q2-->
<div class="os-raise-ib-pset-problem" data-content-id="c2210f3f-1767-4b78-a5b5-643e917e2f0d" data-problem-type="dropdown" data-retry-limit="3" data-solution="For every increase of 1 staff person, the wait time decreases 1.62 minutes" data-solution-options='["For every increase of 1 staff person, the wait time decreases 1.62 minutes", "For every wait time increase of 1 minute the staff people increase by 1.62", "When there are 0 staff people, the wait time is 18 minutes", "When there are 18 staff people, there is no wait time"]'>
<div class="os-raise-ib-pset-problem-content">
<blockquote>
<p>For questions 2—5, use the following to answer each question.</p>
<p>The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of waitstaff available at the time.</p>
<img alt="A scatter plot. Horizontal, 0 to 9, by point 5’s, labeled staff. Vertical, 0 to 13, by point 5’s, labeled wait time. 10 dots trend linearly down and to the right." src="https://k12.openstax.org/contents/raise/resources/6e599432d57f210cffc3af906e753aa20f86cbfa"></blockquote>
<div>
<br>
<p>A line that models the data is given by the equation \(y=-1.62x+18\), where \(y\) represents the wait time, and \(x\) represents the number of waitstaff available.</p>
<ol class="os-raise-noindent" start="2">
<li>The slope of the line is \(-1.62\). What does this mean in this situation?</li>
</ol>
</div>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The slope means that for every increase of 1 staff person, the wait time decreases 1.62 minutes.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the slope means that for every increase of 1 staff person, the wait time decreases 1.62 minutes. </p>
</div>
</div>
<!--Q2b-->
<div class="os-raise-ib-pset-problem" data-content-id="4d5749f2-bca8-4182-880f-b7cd08b57751" data-problem-type="dropdown" data-retry-limit="1" data-solution="Yes" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="3">
<li> The slope of the line is \(-1.62\). Is it realistic to conclude, for this slope, as \(x\) increases, \(y\) will decrease?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Yes. For every increase of staff people, \(x\), the wait time, \(y\), decreases. For an increase of 1 staff person, the wait time decreases 1.62 minutes. This is realistic.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: Yes. For every increase of staff people, \(x\), the wait time, \(y\), decreases. For an increase of 1 staff person, the wait time decreases 1.62 minutes. This is realistic. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q2c-->
<div class="os-raise-ib-pset-problem" data-content-id="b1a4bbef-f1a5-4164-a881-9907e963311e" data-problem-type="dropdown" data-retry-limit="3" data-solution="When there are 0 staff people, the wait time is 18 minutes" data-solution-options='["For every increase of 1 staff person, the wait time decreases 1.62 minutes", "For every wait time increase of 1 minute the staff people increase by 1.62", "When there are 0 staff people, the wait time is 18 minutes", "When there are 18 staff people, there is no wait time"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="4">
<li>The \(y\)-intercept is \((0,18)\). What does this mean in this situation?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! When there are 0 staff people, the wait time is 18 minutes. This is not realistic when there are no staff available.
</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is when there are 0 staff people, the wait time is 18 minutes. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q2d-->
<div class="os-raise-ib-pset-problem" data-content-id="f696961c-25dc-45ae-9779-26781eddb56d" data-problem-type="dropdown" data-retry-limit="1" data-solution="No" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="5">
<li>The \(y\)-intercept is \((0,18)\). Is this a realistic \(y\)-intercept point if \(y\) represents the wait time and \(x\) represents the number of staff available?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! No, this is not realistic when there are no staff available.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: No, this is not realistic when there are no staff available. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q3-->
<div class="os-raise-ib-pset-problem" data-content-id="1086b591-c6a7-4c6a-a760-8716500fefc2" data-problem-type="dropdown" data-retry-limit="1" data-solution="For every minute of internet usage, the price increases 3 cents." data-solution-options='["For every minute of internet usage, the price increases 3 cents.", "For every 3 minutes of internet usage, the price increases 1 cent."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="6">
<li> The company’s pricing plan states that the usage rate is constant for any number of minutes connected to the Internet. The number of minutes is related to the cost in dollars and has a linear relationship. The equation of the line is \(y = 0.03x +0.10\). What does the slope represent in this situation?</li>
</ol>
<p><img alt="A SCATTER PLOT THAT SHOWS NUMBER OF MINUTES ON THE X-AXIS AND TOTAL SESSION COST IN DOLLARS ON THE Y-AXIS. THE LINE DRAWN THROUGH THE POINTS INCREASES FROM LEFT TO RIGHT." class="atto_image_button_text-bottom" height="318" src="https://k12.openstax.org/contents/raise/resources/1872dd1f74c4cc32237b7892fcb427256adfa18c" width="450"></p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! For every minute of Internet usage, the price increases 3 cents. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is for every minute of Internet used, the price increases 3 cents. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q4-->
<div class="os-raise-ib-pset-problem" data-content-id="0893a163-5d6c-4fc7-a03a-fd2f1e15aa4d" data-problem-type="multiplechoice" data-retry-limit="1" data-solution="\(y\;=\;25.3\;+\;3.66x\)" data-solution-options='["\\(y\\;=\\;25.3\\;+\\;3.66x\\)", "\\(y=130-5x\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="7">
<li> Below is a scatter plot of the data with two linear models, \(y=130-5x\) and \(y=25.3+3.66x\). Which of these two models does a better job of describing how shoe length \(x\) and height \(y\) (in inches) are related?</li>
</ol>
<p><img alt="A SCATTER PLOT THAT SHOWS SHOE LENGTH ON THE X-AXIS AND HEIGHT ON THE Y-AXIS. TWO DIFFERENT LINEAR MODELS ARE SHOWN, ONE WITH A POSITIVE SLOPE AND ONE WITH A NEGATIVE SLOPE. " height="409" src="https://k12.openstax.org/contents/raise/resources/9241309eb5544c60aa21d106fc72ee24032a332f" width="450"></p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The line of \(y = 25.3 + 3.66x\) is a better choice because as shoe length increases, height tends to increase.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the line of \(y = 25.3 + 3.66x\) is a better choice because as shoe length increases, height tends to increase. <br></p>
</div>
</div>
<!--END QUESTION.-->
<!--Q5-->
<div class="os-raise-ib-pset-problem" data-content-id="690d7104-ba71-4fc3-9335-5e53a6db81e2" data-problem-type="dropdown" data-retry-limit="1" data-solution="Line 2" data-solution-options='["Line 1", "Line 2"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="8">
<li> The scatter plot below displays the elevation and median number of clear days per year of 14 U.S. cities. Two lines are shown on the scatter plot. Which line fits the data better?</li>
</ol>
<p><img alt="A SCATTER PLOT THAT SHOWS ELEVATION ABOVE SEA LEVEL IN FEET ON THE X-AXIS AND MEAN NUMBER OF CLEAR DAYS ON THE Y-AXIS. TWO LINES OF FIT ARE SHOWN." height="396" src="https://k12.openstax.org/contents/raise/resources/191e2108ea19781d8c0d464dc7b43ce7a029a2c4" width="450"></p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Line 2 fits the data better because more points seem to be closer to the line. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is Line 2 fits the data better because more points seem to be closer to the line. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q6-->
<div class="os-raise-ib-pset-problem" data-content-id="e7c962cd-ccb9-477a-8982-6a32387fe740" data-problem-type="dropdown" data-retry-limit="1" data-solution="As a woman’s shoe length increases, their height also tends to increase." data-solution-options='["As a woman’s shoe length increases, their height decreases.", "As a woman’s shoe length increases, their height also tends to increase."]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="9">
<li>According to the scatter plot below, what claim can be made about women’s shoe length and height?</li>
</ol>
<img alt="A SCATTER PLOT THAT SHOWS SHOE LENGTH IN INCHES ON THE X-AXIS AND HEIGHT IN INCHES ON THE Y-AXIS. " height="418" src="https://k12.openstax.org/contents/raise/resources/711fc739283a09fb281aa876602ac9371fd5be27" width="450">
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! As a woman’s shoe length increases, her height also tends to increase. </p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.3.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: As a woman’s shoe length increases, her height also tends to increase. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<br>
<blockquote>
<p>For questions 10–12, use the scatter plot below.</p>
<p>This scatter plot shows foal birth weight and mare’s weight.</p>
<p><img alt="A SCATTER PLOT THAT SHOWS MARE WEIGHT IN KILOGRAMS ON THE X-AXIS AND FOAL WEIGHT IN KILOGRAMS ON THE Y-AXIS." class="atto_image_button_text-bottom" height="311" src="https://k12.openstax.org/contents/raise/resources/8568caa2f5d1375c92bcdf0e2f9b05d77d12917d" width="450"></p>
</blockquote>
<br>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="b527f6f2-6bfa-4c0a-b42e-42eaa58969cd" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="2" data-schema-version="1.0">
<!--Q7-->
<div class="os-raise-ib-pset-problem" data-content-id="df1c0214-99ea-424d-be82-48c61718f632" data-problem-type="multiplechoice" data-retry-limit="1" data-solution="the increases in foal weight in kg for each kg increase in mare weight" data-solution-options='["the increases in foal weight in kg for each kg increase in mare weight", "the increase in mare weight in kg for each kg increase in foal weight"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="10">
<li> What does the slope mean of a linear model on this scatter plot?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! The slope represents the increase in foal weight in kg for each kg increase in mare weight</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2–3.1.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is the slope represents the increase in foal weight in kg for each kg increase in mare weight. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q8-->
<div class="os-raise-ib-pset-problem" data-content-id="7f65c0a6-2f8f-48ea-9e26-b922072ad0e7" data-problem-type="dropdown" data-retry-limit="1" data-solution="No" data-solution-options='["Yes", "No"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="11">
<li> Will the \(y\)-intercept of a linear model make sense in this problem?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! No. When the mare weight is zero, the linear model will be above 0 on the \(y\)-axis.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.5.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is: No. When the mare weight is zero, the linear model will be above 0 on the \(y\)-axis. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Q9-->
<div class="os-raise-ib-pset-problem" data-content-id="07a82a5e-01fb-47af-a9cb-8008398d1fd9" data-problem-type="dropdown" data-retry-limit="1" data-solution="A mare weighing 548 kg weighed 108 kg as a foal" data-solution-options='["A mare that was 548 kg now weighs 108 kg", "A mare weighing 548 kg weighed 108 kg as a foal"]'>
<div class="os-raise-ib-pset-problem-content">
<ol class="os-raise-noindent" start="12">
<li>What does the point \((548, 108)\) mean in this problem?</li>
</ol>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! A mare weighing 548 pounds has a foal weighing 108 pounds.</p>
</div>
<div class="os-raise-ib-pset-encourage-response">
<p>Try again. Revisit activity 3.1.2–3.1.4.</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is that a mare weighing 548 pounds has a foal weighing 108 pounds. </p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>