{"id":"cb_practice_pdf:t6-math-m2-q26","source_id":"cb_practice_pdf","source_item_id":"t6-math-m2-q26","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-6","module_number":2,"position":26,"stem":"- y 50.,,, 40,,/^,/ /\" 30,;I /',,,,✓ 20 /,T u X 4 8 12 16 20 The scatterplot shows the relationship between two variables, x and y, for data set E. A line of best fit is shown. Data set F is created by multiplying the y-coordinate of each data point from data set E by 3.9. Which of the following could be an equation of a line of best fit for data set F? = 46.8 +5.9x","stimulus":"","stimulus_html":null,"stem_html":"<p>- y 50.,,, 40,,/^,/ /&quot; 30,;I /&#x27;,,,,✓ 20 /,T u X 4 8 12 16 20 The scatterplot shows the relationship between two variables, x and y, for data set E. A line of best fit is shown. Data set F is created by multiplying the y-coordinate of each data point from data set E by 3.9. Which of the following could be an equation of a line of best fit for data set F? = 46.8 +5.9x</p>","rationale_html":"<p>Choice A is correct. An equation of a line of best fit for data set F can be written in = + the form y abx , where a is the y-coordinate of the y-intercept of the line of best fit and b is the slope. The line of best fit shown for data set E has a 0,12 y-intercept at approximately ^ h. It’s given that data set F is created by 3.9 multiplying the y-coordinate of each data point from data set E by . It follows 0,12 3.9 that a line of best fit for data set F has a y-intercept at approximately ^ ^ hh, 0,46.8 46.8 or ^ h. Therefore, the value of a is approximately . The slope of a line that passes through points ^x1 , y1 h and ^x2 , y2 h can be calculated as y x 2 2 - - y x1 1 . Since the line of best fit shown for data set E passes approximately through the point 12,30 ^ h, it follows that a line of best fit for data set F passes approximately 12,30 3.9 12,117 0,46.8 12,117 through the point ^ ^ hh, or ^ h. Substituting ^ h and ^ h f 7 o 0 r . 2 ^x1 , y 5 1 h .8 a 5 nd ^x2 , y2 h, respectively, in y x 2 2 - - y x1 1 yields 11 1 7 2 - - 4 5 0 6 . . 8 8 5 , which is equivalent 5 t . o 9 12 , or . Therefore, the value of b is approximately , or approximately . =46.8+5.9 Thus, y x could be an equation of a line of best fit for data set F. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect. This could be an equation of a line of best fit for data set E, not data set F. 51 SAT PRACTICE TEST #6 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>y = 46.8 +1.5x</p>","ord":0},{"label":"B","content_html":"<p>y = 12 +5.9x</p>","ord":1},{"label":"C","content_html":"<p>y = 12 +1.5x</p>","ord":2},{"label":"D","content_html":"<p>y STO</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}