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1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4
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1. Graph 4x – 5y = -20 x-intercept (y = 0)4x - 5(0) = -20 4x = -20x = -5 (-5, 0) y-intercept (x = 0) 4(0) - 5y = -20 -5y = -20 y = 4 (0, 4)
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2. Graph y = -3x + 2 Slope = -3 y-int: (0, 2)
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4. Graph x = -4
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Mon 9/28 Lesson 2 – 5 Learning Objective: To write linear eq’ns that model data & make predictions from it Hw: Pg. 96 # 7 – 11, 14 - 17, 27 - 29
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Algebra II
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To write linear equations that model real-world data To make predictions from linear models
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Scatter Plot – graph that relates two sets of data by plotting the data as ordered pairs Correlation – strength of the relationship between data sets Correlation Coefficient r – indicates strength of correlation
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Positive Correlation r is closer to 1 Negative Correlation r is closer to -1 No Correlation r is closer to 0
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Line of Best Fit – the trend line that gives the most accurate model of related data To write the equation of the line: Find slope of the line Use the slope and a point to write an equation of the line
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1. a. Make a scatter plot b. Sketch a line of best fit c. What is the correlation? d. What is the equation for the line of best fit?
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2. Using #1’s linear model, predict what your test score will be if you spend 10 hours on the computer daily. y = -8.3x + 100 y = -8.3(10) + 100 y = -83 + 100 y = 17 17%!! Spend more time studying and less time on the computer!!
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The table shows population and licensed driver from a recent year. a. Make a scatter plot b. Sketch a line of best fit c. Is the correlation strong or weak? Explain.
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