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Do Now 12/2/09 Take out HW from last night. - Punchline worksheet 7.19 Copy HW in planner. - Text p. 328, #3-6, 8-12 evens, 16 & 17 (4 graphs) - Quiz sections 5.5 - 5.7 Friday

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Homework Punchline worksheet 7.19 1) y – 2 = 4/3(x – 7) 1) y – 2 = 4/3(x – 7) 2) y + 4 = -2/5(x – 4) 2) y + 4 = -2/5(x – 4) 3) y = 3x + 8 3) y = 3x + 8 4) y = 1/4x + 3/2 4) y = 1/4x + 3/2 5) 2x + 3y = -11 5) 2x + 3y = -11 6) -5x + y = 7 6) -5x + y = 7 7) y – 7 = 2(x + 4) 7) y – 7 = 2(x + 4) 8) y + 1= -3/8(x – 6) 8) y + 1= -3/8(x – 6) 9) y = 5/2x – 1 9) y = 5/2x – 1 10) y = -1/6x + 3/2 10) y = -1/6x + 3/2 11) -3x + 4y = 15 11) -3x + 4y = 15 12) 7x + 2y = -15 12) 7x + 2y = -15 13) y = 5/3x – 3 13) y = 5/3x – 3 14) y = -4/9x – 40/9 14) y = -4/9x – 40/9 15) y = -3x – 6 15) y = -3x – 6 “AND ORDERED PEARS” “Did You Hear About the Mathematician Who Wanted to Make a Fruit Salad, So He Bought Some Apples and Oranges?” “Did You Hear About the Mathematician Who Wanted to Make a Fruit Salad, So He Bought Some Apples and Oranges?”

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Objective SWBAT make scatter plots and write equations to model data SWBAT make scatter plots and write equations to model data

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Section 5.6 “Fit a Line to Data” a graph used to determine whether there is a relationship between paired data. Scatter Plot y x

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Scatter plots can show trends (patterns) in the data. y x y x y x Positive correlationNegative correlation Relatively no correlation As y tends to increase, x tends to increase. As y tends to decrease, x tends to increase. x and y have no apparent relationship.

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Make a scatter plot of the data in the table. Describe the correlation of the data. x1122.533.545 y12233.5344 1 2 3 4 0123456 y-axis x-axis 7 The scatter plot shows a positive correlation because as x tends to increase, y tends to increase.

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Minutes on treadmill 05101520253035 Ounces of water in water bottle 12121097753 4 8 051015202530 y-axis x-axis 35 The scatter plot shows a negative correlation because as minutes on the treadmill increase, ounces of water in the water bottle decreases. 12 Minutes on the treadmill

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Modeling Data When data show a positive or negative correlation, you can model the trend in the data using a LINE OF FIT Using a Line of Fit to Model Data 1). 2). 3). 4). Decide whether the data can be a modeled by a line. (Does it have positive or negative correlation?) Make a scatter plot of the data. Draw a line that appears to fit the data closely. Write an equation using two points on the line. (The points do not have to be actual data pairs, but they do have to be on the line.)

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Draw a line of fit for the scatter plot. Write an equation that models the number of ounces of water left in the water bottle as a function of minutes on the treadmill. Minutes on treadmill 05101520253035 Ounces of water in water bottle 12121097753 4 8 051015202530 y-axis x-axis35 Write an equation using two points on the line. 12 Minutes on the treadmill Use the points (5,12) and (30,4). 12 – 4 = _8_ 5 – 30 -25 Find the y-intercept. Use (5,12). y = mx + b 12 = 8 (5) + b b = 68 -25 5 y = 8 8 x + 68 -25 5

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000102 Enrollment at Howell Middle School South 030405060708 year Student enrollment 900 890 880 930 920 910 950 940 0123456789 880890895890900900910905920930 09 Years since 2000 Enrollment Draw a line of fit for the scatter plot. Write an equation that models the number of years since 2000 as a function student enrollment. x-axis Write an equation using two points on the line. Use the points (4, 900) and (6, 910). 910 – 900 = _10_ = 5 6 – 4 2 Find the y-intercept. Use (4, 900). y = mx + b 900 = 5(4) + b b = 880 y = 5x + 880

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Homework Text p. 328, #3-6, 8-12 evens, 16 & 17 (4 graphs) 24

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