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1. Graph 4x – 5y = -20What is the x-intercept?What is the y-intercept?
2. Graph y = -3x + 2
3. Graph x = -4
Warm – up #5
1. Graph 4x – 5y = -20x-intercept (y = 0) 4x - 5(0) = -20
4x = -20 x = -5(-5, 0)
y-intercept (x = 0)4(0) - 5y = -20
-5y = -20y = 4(0, 4)
Warm – up #5 Solutions
2. Graph y = -3x + 2
Slope = -3
y-int: (0, 2)
Warm – up #5 Solutions
4. Graph x = -4
Warm – up #5 Solutions
Homework Log
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
9/28/15 Lesson 2-5 Using Linear Models
Algebra II
To write linear equations that model real-world data
To make predictions from linear models
Learning Objective
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
Positive Correlationr is closer to 1
Negative Correlationr is closer to -1
No Correlation r is closer to 0
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
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?
a. Scatter Plot
b. Line of Best Fit
c. Strong Negative Correlation!
Use 2 points (0, 100) & (3, 75)
y = -8.3x + 100
d. Line of Best Fit
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 + 100y = -8.3(10) + 100y = -83 + 100
y = 17
17%!! Spend more time studying and less time on the computer!!
The table shows population and licensed driver from a recent year.
a. Make a scatter plotb. Sketch a line of best fitc. Is the correlation strong or weak? Explain.
Ticket Out the Door
Assignment:
Pg. 96 # 7 – 11, 14 - 17, 27 - 29