Scatter Plots and Equations of Lines

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Scatter Plots and Equations of Lines ALGEBRA 1 LESSON 6-6 12. a. b. Answers may vary. y = 3.25x – 1 c. Answers may vary. Sample: The slope is the approximate ratio of the circumference to the diameter. d. 14 cm 13. a. b. Answers may vary. Sample: y = 0.939x + 13,800 c. 143,800,000 d. Answers may vary. Sample: No, the year is too far in the future. 14. a. Check students’ work. b. 1 15. Answers may vary. Sample: pos. slope; as temp. increases, more students are absent. 16. a. y = 0.61x + 35.31 Sample: small set of data with weak correlation 17. y = 0.37x – 28.66; $12.04 billion 6-6

Scatter Plots and Equations of Lines ALGEBRA 1 LESSON 6-6 18. a. y = –16.70x + 297.57 b. –0.6681863355 c. No, the correlation coefficient is not close to 1 or –1, so the equation does not closely model the data. 19. a. (2, 3) and (6, 6); y = 0.75x + 1.5 b. y = 0.75x + 1.21 20. a. y = 4.82x – 29.65 b. 404 ft c. The speed is much faster than those speeds used to find the equation of a trend line. 21. B 22. H 23. [4] a. b–c. Answers may vary. Samples: b. Let 1960 = 60. Two points on line are (62, 18) and (90, 30). y = 0.429x – 8.6 c. y = 0.429(105) – 8.6; 36.4 million people 6-6

Scatter Plots and Equations of Lines ALGEBRA 1 LESSON 6-6 [3] appropriate methods but one computational error [2] incorrect points used correctly OR correct points used incorrectly; function written appropriately, given previous results. [1] correct function, without work shown 24. y + 3 = 5(x – 2) 25. y – 5 = –x 26. y – 4 = – (x + 1) 27. y + 4 = – (x – 3) 28. y + 1 = –2(x + 2) 29. y – 2 = (x + 1) 30. x > 1 31. x < 5 32. x > –1 33. x –5 34. x > 35. x < 3 2 3 1 4 < – 6-6