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Sewanhaka High School Mrs. Lidowsky, Principal Math 8 Mr. Long, Teacher Per:______________ Date:________________________ Name:___________________________________ H.W. #67: Ditto DO-NOW #67: Answer the following questions: 1) Solve the following system of CHECK: equations algebraically and check: 3x - 2y = 22 2x + 5y = 2 2) Topic: Statistics Main Idea: Scatter Plot Aim: RECALL NOTES Elissa had to do a research project on average SAT math scores of students at SHS over a ten year period, 1998 to 2007. She put the information she found into the following table: YEAR 1998 1999 2000 2001 2002 SCOR 503 504 506 508 511 E YEAR 2003 2004 2005 2006 2007 SCOR 512 511 514 514 516 E Develop the information from the table into a scatter plot. Does the data displayed on the graph resemble a line rising from left to right, a line falling from left to right, or neither (does not appear to rise or fall)? Do the points in the scatter plot seem to form a line or a curve? What is the name for the two variable data, the years on the x-axis and the scores on the y-axis? Do you recognize any clusters within the scatter plot? Make a scatter plot based on the following table: Age (in years) 0 0 1 2 2 3 18 23 20 17 21 13 Car Value ($) (in thousands) Age (in years) 3 4 4 5 5 6 17 14 17 10 13 7 Car Value ($) (in thousands) Age (in years) 6 7 7 8 8 9 10 8 11 4 7 4 Car Value ($) (in thousands) Does the data displayed on the graph resemble a line rising from left to right, a line falling from left to right, or neither (does not appear to rise or fall)? Does the data represent linear or nonlinear association? Why? A line more so than a curve is formed. Do you see clustering amongst the scatter plot? What if I added another car, a 6 year old car at $27,000. Plot that point on the scatter plot. What can I say about that point as compared to the entire scatter plot? Make a scatter plot based on the following table: Birth Month Jan. Feb. Mar. Apr. May June July Birth Weight (in lbs.) 6 5.5 7.5 7 10 6.5 8 5 7.5 7 Aug 7.2 5.3 8 6 Sept Oct. . 7 4.5 6.5 Nov . 7.7 Dec . 5.5 9 7.5 Does the data displayed on the graph resemble a line rising from left to right, a line falling from left to right, or neither (does not appear to rise or fall)? Can we form a curve or a line from the scatter plot? Drill: Make a scatter plot for each of the following tables. Determine whether the scatter plot of the data for the following might show a positive, negative, or no association at all. Also look for linear or nonlinear association. Is there any clusters or outliers? 1) The table shows the average cost of a loaf of bread from 1920 to 2000. YEAR 1920 1930 1940 1950 1960 9 8 14 20 CENTS 12 YEAR 1970 1980 1990 2000 52 72 99 CENTS 24 2) The table shows the study time of students as compared to their test scores. 10 15 23 30 42 55 60 60 Study Time (min.) 65 67 96 76 74 78 82 91 Test Scores 70 75 90 96 110 120 Study Time (min.) 73 87 95 94 75 97 Test Scores ANSWER: ANSWER: Summary: