{"id":"cb_question_bank:3cd3c9d2-d445-498b-aa29-b274adffdded","source_id":"cb_question_bank","source_item_id":"3cd3c9d2-d445-498b-aa29-b274adffdded","external_id":"40d9d60a-1c6b-4ed3-82e1-5d956fe9153a","ibn":null,"question_id":"f46139df","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.D.","skill":"Two-variable data: Models and scatterplots","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The scatterplot shows the relationship between two variables, x and y . A line of best fit for the data is also shown. The scatterplot has 11 data points. The data points are in a linear pattern trending down from left to right. A line of best fit is shown: The line of best fit slants down from left to right. 6 points are above the line of best fit. 5 points are below the line of best fit. The line of best fit goes through the following approximate coordinates: (28 comma 6) (33 comma 1.5) At x equals 25.5 , which of the following is closest to the y -value predicted by the line of best fit?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The scatterplot shows the relationship between two variables, <math alttext=\"x\"><mi>x</mi>\n</math> and <math alttext=\"y\"><mi>y</mi>\n</math>. 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d=\"M9.845,249.248a8.128,8.128,0,0,1,1.143-4.438,3.549,3.549,0,0,1,6.173-.01,9.235,9.235,0,0,1-.01,8.886,3.522,3.522,0,0,1-6.153-.01A8.081,8.081,0,0,1,9.845,249.248Zm1.706-.019a10.04,10.04,0,0,0,.678,3.924q.678,1.6,1.744,1.6,1.24,0,1.928-1.608a10.247,10.247,0,0,0,.688-4.012,9.566,9.566,0,0,0-.678-3.847q-.678-1.54-1.744-1.541-1.182,0-1.9,1.57A9.4,9.4,0,0,0,11.551,249.229Z\" transform=\"translate(-2.189 -3.217)\" fill=\"#231f20\"></path><polyline points=\"53.231 245.841 43.321 245.841 40.571 251.836 35.326 239.846 32.601 245.841 24.577 245.841\" fill=\"none\" stroke=\"#000\" stroke-width=\"0.945\"></polyline><path d=\"M76.6,74.664a3.78,3.78,0,1,1-3.778-3.78A3.779,3.779,0,0,1,76.6,74.664Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M94.036,109.543a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,94.036,109.543Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M111.476,144.421a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,111.476,144.421Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M128.915,92.1a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,128.915,92.1Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M146.357,126.982a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,146.357,126.982Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M163.794,196.74a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,163.794,196.74Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M181.234,161.861a3.78,3.78,0,1,1-3.778-3.78A3.779,3.779,0,0,1,181.234,161.861Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M198.675,179.3a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,198.675,179.3Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M216.113,214.18a3.78,3.78,0,1,1-3.778-3.78A3.779,3.779,0,0,1,216.113,214.18Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M233.552,214.18a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,233.552,214.18Z\" transform=\"translate(-2.189 -3.217)\"></path><path d=\"M250.992,249.058a3.78,3.78,0,1,1-3.778-3.78A3.778,3.778,0,0,1,250.992,249.058Z\" transform=\"translate(-2.189 -3.217)\"></path><line x1=\"61.78\" y1=\"71.446\" x2=\"258.475\" y2=\"245.841\" stroke=\"#231f20\" stroke-width=\"2.268\"></line></g></svg><div class=\"sr-only\"><ul>\n<li>The scatterplot has 11 data points.</li>\n<li>The data points are in a linear pattern trending down from left to right.</li>\n<li>A line of best fit is shown:\n<ul>\n<li>The line of best fit slants down from left to right.</li>\n<li>6 points are above the line of best fit.</li>\n<li>5 points are below the line of best fit.</li>\n<li>The line of best fit goes through the following approximate coordinates:\n<ul>\n<li>(28 comma 6)</li>\n<li>(33 comma 1.5)</li>\n</ul>\n</li>\n</ul>\n</li>\n</ul></div></figure><p></p>\n<p style=\"text-align: left;\">At <math alttext=\"x equals 25.5\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>25.5</mn>\n</mrow>\n</math>, which of the following is closest to the <em>y</em>-value predicted by the line of best fit?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. On the line of best fit, an&nbsp;<em>x</em>-value of <math alttext=\"25.5\"><mn>25.5</mn>\n</math> corresponds to a&nbsp;<em>y</em>-value between <math alttext=\"8\"><mn>8</mn>\n</math> and <math alttext=\"8.5\"><mn>8.5</mn>\n</math>. Therefore, at <math alttext=\"x equals 25.5\"><mrow>\n\t<mi>x</mi>\n\t<mo>=</mo>\n\t<mn>25.5</mn>\n</mrow>\n</math>, <math alttext=\"8.2\"><mn>8.2</mn>\n</math> is closest to the&nbsp;<em>y</em>-value predicted by the line of best fit.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual errors.</p>","correct_answer":["C"],"has_media":true,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.834000+00:00","source_updated_at":"2023-08-02T20:25:59.834000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"6.2\"><mn>6.2</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"7.3\"><mn>7.3</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"8.2\"><mn>8.2</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"9.1\"><mn>9.1</mn>\n</math></p>","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}