WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y...
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Transcript of WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y...
![Page 1: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/1.jpg)
WARM – UP #51. Graph 4x – 5y = -20
What is the x-intercept?
What is the y-intercept?
2. Graph y = -3x + 2
3. Graph x = -4
![Page 2: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/2.jpg)
WARM – UP #5 SOLUTIONS1. Graph 4x – 5y = -20
x-intercept (y = 0) 4x - 5(0) = -20
4x = -20 x = -5
(-5, 0)
y-intercept (x = 0)
4(0) - 5y = -20
-5y = -20
y = 4
(0, 4)
![Page 3: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/3.jpg)
WARM – UP #5 SOLUTIONS2. Graph y = -3x + 2
Slope = -3
y-int: (0, 2)
![Page 4: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/4.jpg)
WARM – UP #5 SOLUTIONS4. Graph x = -4
![Page 5: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/5.jpg)
LESSON 2-5 USING LINEAR MODELS
Algebra II
![Page 6: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/6.jpg)
LEARNING OBJECTIVE
To write linear equations that model real-world data
To make predictions from linear models
![Page 7: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/7.jpg)
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
![Page 8: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/8.jpg)
Positive Correlationr is closer to 1
Negative Correlationr is closer to -1
No Correlation r is closer to 0
![Page 9: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/9.jpg)
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
![Page 10: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/10.jpg)
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?
![Page 11: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/11.jpg)
A. SCATTER PLOT
![Page 12: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/12.jpg)
B. LINE OF BEST FIT
![Page 13: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/13.jpg)
C. STRONG NEGATIVE CORRELATION!
![Page 14: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/14.jpg)
D. LINE OF BEST FITUse 2 points (0, 100) & (3, 75)
y = -8.3x + 100
![Page 15: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/15.jpg)
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!!
![Page 16: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/16.jpg)
TICKET OUT THE DOOR 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.
![Page 17: WARM – UP #5 1. Graph 4x – 5y = -20 What is the x-intercept? What is the y-intercept? 2. Graph y = -3x + 2 3. Graph x = -4.](https://reader035.fdocuments.in/reader035/viewer/2022062804/5697bf751a28abf838c8022d/html5/thumbnails/17.jpg)
ASSIGNMENT:
PG. 96 # 7 – 11, 14 - 17, 27 - 29
Don’t Cry. You
got this!!!