7:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Quiz\",\"name\":\"Quiz 2\",\"description\":\"Interpreting scatterplots, trends, association, and linear models.\",\"url\":\"https://theschoolofmathematics.com/quiz/psat-8-9-two-variable-data-models-scatterplots-quiz-2\",\"educationalLevel\":\"Intermediate\",\"numberOfQuestions\":8,\"isAccessibleForFree\":true,\"about\":{\"@type\":\"Thing\",\"name\":\"Problem-Solving and Data Analysis: Two-Variable Data-Models and Scatterplots\"}}"}}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https://theschoolofmathematics.com\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quizzes\",\"item\":\"https://theschoolofmathematics.com/quiz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Quiz 2\",\"item\":\"https://theschoolofmathematics.com/quiz/psat-8-9-two-variable-data-models-scatterplots-quiz-2\"}]}"}}],["$","div",null,{"className":"bg-gradient-to-b from-white via-gray-50 to-white","children":["$","div",null,{"className":"container mx-auto px-4 py-8 md:py-12","children":[["$","div",null,{"className":"mb-12","children":["$undefined",["$","div",null,{"className":"mb-8","children":["$","h1",null,{"className":"text-4xl md:text-5xl lg:text-6xl font-bold text-gray-900 mb-4","children":"Quiz 2"}]}],["$","div",null,{"className":"bg-white rounded-2xl shadow-lg p-6 md:p-8 border border-gray-200","children":[["$","div",null,{"className":"text-lg md:text-xl text-gray-700 mb-8 leading-relaxed prose prose-lg max-w-none","dangerouslySetInnerHTML":{"__html":"

Interpreting scatterplots, trends, association, and linear models.

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Practice quiz on two-variable data, models, and scatterplots for PSAT 8-9.

"},"excerpt":{"rendered":"

Interpreting scatterplots, trends, association, and linear models.

"},"featured_media":0,"featured_media_url":"$undefined","acf":{"duree_estimee":"$undefined","niveau_difficulte":"Intermediate","categorie":"Problem-Solving and Data Analysis: Two-Variable Data-Models and Scatterplots","nombre_questions":8,"score_minimum":80,"ordre_questions":"Fixe","questions":[{"id":"cmrk8f0bd0y38jg8wjxs8rv9b","texte_question":"$18","type_question":"QCM","explication":"

The line of best fit decreases from left to right.

So, the slope must be negative.

The line crosses the $$y$$-axis at about $$13.5$$.

Using two points on the line, the slope is about:

$$\\frac{2-13.5}{14-0}$$

$$=\\frac{-11.5}{14}$$

$$\\approx-0.8$$

So, the equation is:

$$y=13.5-0.8x$$

Final answer: $$y=13.5-0.8x$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$y=13.5+0.8x$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$y=13.5-0.8x$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$y=-13.5+0.8x$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$y=-13.5-0.8x$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0bi0y3ejg8w9d8h9gye","texte_question":"$19","type_question":"QCM","explication":"

Use the line of best fit, not the individual data points.

Find $$x=1{,}200$$ on the horizontal axis.

Move upward until reaching the line of best fit.

The line is close to $$11$$ on the vertical axis.

So, the predicted $$y$$-value is closest to $$11$$.

Final answer: $$11$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$16$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$14$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$11$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$6$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0bo0y3kjg8ww1dodn05","texte_question":"$1a","type_question":"QCM","explication":"

Check each statement using the graph.

From $$5$$ to $$10$$ minutes, Theresa ran at a constant speed of $$7$$ miles per hour, so she ran at a constant speed for $$5$$ minutes.

From $$25$$ to $$30$$ minutes, her speed decreased from $$8$$ to $$0$$ in a straight line, so her speed decreased at a constant rate during the last $$5$$ minutes.

Her maximum speed was $$8$$ miles per hour at $$25$$ minutes, which is during the last $$10$$ minutes.

Now compare increasing and decreasing intervals.

Her speed increased from $$0$$ to $$5$$ minutes and from $$20$$ to $$25$$ minutes, for a total of $$10$$ minutes.

Her speed decreased from $$10$$ to $$20$$ minutes and from $$25$$ to $$30$$ minutes, for a total of $$15$$ minutes.

So, it is NOT true that her speed was increasing for a longer period of time than it was decreasing.

Final answer: $$\\mathrm{Theresa's\\ speed\\ was\\ increasing\\ for\\ a\\ longer\\ period\\ of\\ time\\ than\\ it\\ was\\ decreasing.}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\mathrm{Theresa\\ ran\\ at\\ a\\ constant\\ speed\\ for\\ five\\ minutes.}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\mathrm{Theresa's\\ speed\\ was\\ increasing\\ for\\ a\\ longer\\ period\\ of\\ time\\ than\\ it\\ was\\ decreasing.}$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\mathrm{Theresa's\\ speed\\ decreased\\ at\\ a\\ constant\\ rate\\ during\\ the\\ last\\ five\\ minutes.}$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\mathrm{Theresa's\\ speed\\ reached\\ its\\ maximum\\ during\\ the\\ last\\ ten\\ minutes.}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0c40y3qjg8wjkhpxzlr","texte_question":"$1b","type_question":"TexteLibre","explication":"

Use the line of best fit. Find $$32^\\circ C$$ on the horizontal axis.

Move up to the line of best fit.

The line is slightly below $$480$$ people.

This is about $$470$$ people when rounded to the nearest $$10$$.

Final answer: $$470$$

","points":1,"temps_limite":60,"reponses":[{"texte":"

470

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0cm0y3tjg8w5a658kts","texte_question":"$1c","type_question":"QCM","explication":"

Read the braking distances from the graph.

At $$30$$ miles per hour, the braking distance is about $$100$$ feet.

At $$50$$ miles per hour, the braking distance is about $$225$$ feet.

Find the difference:

$$225-100=125$$

So, the braking distance is approximately $$125$$ feet greater.

Final answer: $$125$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$75$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$125$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$175$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$250$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0d30y3zjg8wunq3lgc2","texte_question":"$1d","type_question":"TexteLibre","explication":"

Find $$4$$ on the horizontal axis.

Move up to the data point.

The data point is at $$40$$ on the vertical axis.

So, the weight during the $$4$$th growing season was $$40$$ pounds.

Final answer: $$40$$

","points":1,"temps_limite":60,"reponses":[{"texte":"

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0d80y42jg8wa8uiaiti","texte_question":"$1e","type_question":"QCM","explication":"

Choose two points on the line of best fit.

The line is close to the points $$(0,0.3)$$ and $$(5,2.5)$$.

Use the slope formula:

$$m=\\frac{2.5-0.3}{5-0}$$

$$m=\\frac{2.2}{5}$$

$$m=0.44$$

So, the slope is closest to $$0.44$$.

Final answer: $$0.44$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$-2.27$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$-0.44$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$0.44$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$2.27$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8f0dc0y48jg8wigng4p9d","texte_question":"$1f","type_question":"QCM","explication":"

Look at how $$g(x)$$ changes as $$x$$ increases.

From $$5$$ to $$8$$, the increase is:

$$8-5=3$$

From $$8$$ to $$11$$, the increase is:

$$11-8=3$$

From $$11$$ to $$14$$, the increase is:

$$14-11=3$$

The change is constant, so the function is linear.

Since the values increase, the function is increasing.

Final answer: $$\\mathrm{Increasing\\ linear}$$

","points":1,"temps_limite":60,"reponses":[{"texte":"$$$\\mathrm{Decreasing\\ linear}$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\mathrm{Increasing\\ linear}$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\mathrm{Decreasing\\ exponential}$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\mathrm{Increasing\\ exponential}$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]}]},"categories":["problem-solving-and-data-analysis-two-variable-data-models-and-scatterplots"],"date":"2026-06-04T09:04:48.921Z","modified":"2026-07-14T05:49:53.875Z"}}],["$","div",null,{"className":"container mx-auto px-4 pb-12","children":["$","$L20",null,{"targetType":"quiz","targetSlug":"psat-8-9-two-variable-data-models-scatterplots-quiz-2"}]}]]}]}]]

Quiz 2

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