8 Scatter Plots and Trend Line Practice (1) In each situation, tell whether the correlation is positive, negative or none. Explain. a. the number of practice free throws you take and the number of free throws you make in a game b. students score on a test and the number of incorrect answers Name: (2) In each situation, tell whether the correlation is positive, negative or none. Explain. a. the number of hours worked and an employee’s wages b. a drop in the price of a barrel of oil and the amount of gasoline sold (3) Describe the correlation of the graph. (4) Describe the correlation of the graph. (5) Describe the correlation of the graph. (6) Describe the correlation of the graph. Page 1 of 6 Lesko 8 Scatter Plots and Trend Line Practice Name: (7) MULTIPLE CHOICE (2011). The scatter plot shows the cost (y) of ground shipping packages from Macungie, PA to Tampa, FL, based on the package weight (x). a. b. c. d. y 0.37 x 1.57 y 0.37 x 10.11 y 0.68 x 2.32 y 0.68 x 6.61 (8) MULTIPLE CHOICE (2014-61%). Lubens heated a beaker of water in Biology class. The scatter plot below shows the temperature (y), in degrees Celsius (°C), of the water based on the number of minutes (x) he heated the water. a. y 5.3 x 12 b. y 5.3 x 23 c. y 5.3x 23 d. y 5.3x 50 (9) MULTIPLE CHOICE (2014-72%). The scatter plot below shows the arm spans and heights of 20 people in Kayla’s class. Based on the line of best fit, which is most likely the height of a person with an arm span of 200 cm? a. 188 cm b. 192 cm c. 197 cm d. 205 cm Page 2 of 6 Lesko 8 Scatter Plots and Trend Line Practice Name: (10) MULTIPLE CHOICE (2015-37%). Michelle went on a bicycle trip. The scatter plot below shows the distance she had traveled for various lengths of time during the bicycle trip. Which equation describes the line of best fit for the scatter plot? 11 13 m 50 20 50 13 m b. d 11 20 11 m 50 c. d 50 50 m 50 d. d 11 a. d (11) MULTIPLE CHOICE (2015-74%). Marti has been keeping track of the number of visitors to her new website for the past 9 months. The line graph below shows the data Marti recorded. Based on the trend shown in the graph, which will most likely be the number of visitors to Marti’s website for the 12th month? a. 5000 b. 6000 c. 8000 d. 10,000 (12) MULTIPLE CHOICE (2015-58%). Hank counted the number of scratches on cars of different ages. Hank then created the scatter plot below showing the relationship between the age of car (x) and the number of scratches found on the car (y). Based on the line of best fit, which is most likely the number of scratches that could be found on a car that is 30 years old? a. 30 b. 74 c. 87 d. 100 Page 3 of 6 Lesko 8 Scatter Plots and Trend Line Practice Name: (13) The table below shows the predicted annual cost for a middle income family to raise a child from birth until age 15. 17000 16000 annual cost 15000 14000 13000 12000 11000 10000 9000 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 age (years) a.) Create a scatter plot. b.) Draw a trend line on your scatter plot. Identify Cost of Raising a Child Born in 2003 Child’s Age 3 6 9 12 15 Annual Cost 10,700 11,700 12,600 15,000 16,700 two points on the trend line and write an equation for the line containing those points. c.) What is the meaning of x and y variables in the equation you wrote? Interpret the meaning of slope and the yintercept of your trend line. d.) Use your equation to predict the cost of the child at 18 years of age. Page 4 of 6 Lesko 8 Scatter Plots and Trend Line Practice 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 powerboat manatees registrations killed 447 13 460 21 481 24 498 16 513 24 512 20 526 15 559 34 585 33 614 33 645 39 675 43 711 50 719 47 (14) The table shows the number of powerboat registrations and the number of manatees killed. 55 50 45 40 35 mantees killed Year Name: 30 25 a.) Draw a trend line on your scatter plot. b.) Identify two points on the trend line and write an 20 equation for the line containing those points. 15 10 5 400 500 600 700 800 powerboat registrations c.) What is the meaning of x and y variables in the equation you wrote? Interpret the meaning of slope and the yintercept of your trend line. d.) Use your equation to predict the number of manatees killed if 1500 powerboats are registered in 2016. Page 5 of 6 Lesko 8 Scatter Plots and Trend Line Practice Name: (15) The table below shows the height of a child since kindergarten. 70 65 60 55 Height Grade Age Height K 5 42 1 6 44.5 2 7 46.25 3 8 50 4 9 53.5 5 10 56.25 6 11 59.25 7 12 63.25 8 13 68 50 45 40 35 30 4 6 8 10 12 14 Age a.) Draw a trend line on your scatter plot. b.) Identify two points on the trend line and write an equation for the line containing those points. c.) What is the meaning of x and y variables in the equation you wrote? Interpret the meaning of slope and the yintercept of your trend line. d.) Use your equation to predict the height of this student when they reach 18. Page 6 of 6 Lesko
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