to measure the time it takes to run the 100 yard dash to measure the weight of a refrigerator to...
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What unit of measurement would you use? To measure the time
it takes to run the 100 yard dash
To measure the weight of a refrigerator
To measure the distance from C.S. to Denver
To measure the dining room table
Seconds
Pounds
Miles
Feet
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Novem
ber 6
, 2012
Obje
ctive
DO
L
SWBAT represent data on a scatter plot and construct a line of best fit and make predictions. (3.1.b.ii)
Given 2 multiple choice problems and 1 constructed response problems (with 4 parts), students will represent data on a scatter plot, construct a line of best fit, and make predictions with 80% accuracy.
Why? Used in business to make decisions about products to sell or discontinue.
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Essential Question:
What do I need to study most about scatter plots and writing equations to be successful on the quiz tomorrow?
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Correlation Review Positive – as the independent
variable increases, the dependent variable increases
Negative – as the independent variable increases, the dependent variable decreases
Sketch a positive and negative correlation in your notes:
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Determine Correlation
A - Positive B - Negative C - No Correlation
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Determine Correlation A - Positive B - Negative C - No Correlation
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Identify the independent/dependent variablesDescribe the correlation
The size of the car and its fuel efficiency
Independent – size of car Dependent – fuel efficiency Correlation – Negative; as the size of
the car gets bigger, the fuel efficiency becomes less.
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Identify the independent/dependent variablesDescribe the correlation
Your score on a test compared to hours spent studying
Independent – hours studying Dependent – test score Correlation – Positive; as the hours
studying increase, the test scores go up.
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Identify the independent/dependent variablesDescribe the correlation
Time spent on treadmill and calories burned
Independent – time on treadmill Dependent – calories burned Correlation – Positive; The more time
spent on the treadmill, the more calories that will be burned
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Whiteboards with partners
City Elevation
(feet)
Average Precipitat
ion(inches)
Stockholm, Sweden 171 21
Berlin, Germany 190 23
London, England 203 30
Paris, France* 213 26
Bucharest, Romania* 298 23
Budapest, Hungary 456 20
Toronto, Canada 567 31
Using the table, write a prediction equation for a line of best fit going through Paris, France and Bucharest, Romania.
26 – 23 3 213 - 298 -85 m = -.04 26 = -.04(213) + b 26 = -8.52 + b 34.52 = b
y = .04x + 34.52
First things first – identify the Independent and dependent variable
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Multiple Choice
y = -0.04x + 34.52
y = -.04(279) + 34.52
y = -11.16 + 34.52 y = 23.36
Now using your prediction equation, predict the average annual precipitation for Dublin, Ireland, which has an elevation of 279 feet.
1) 25 inches 2) 23 inches 3) 1844 inches 4) 203 inches
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People Below the Poverty Level
Year People (millons)
1980 29.3
1985 33.1
1990 33.6
1995 36.4
1998 34.5
2012 ??
Write a prediction equation using (1980, 29.3) and (1990, 33.6)
29.3 – 33.6 -4.3 1980-1990 -10 m = .43 29.3 = .43(1980) + b 29.3 = 851.4 + b -822.1 = b
y = 0.43x – 822.1
First things first – identify the Independent and dependent variable
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People Below the Poverty Level
Year People (millons)
1980 29.3
1985 33.1
1990 33.6
1995 36.4
1998 34.5
2012 ??
y = 0.43x – 822.1
y = 0.43(2012) – 822.1 y = 865.16 – 822.1 y = 43.06
Approximately 43.06 people are predicted to be below the poverty level in 2012.
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Weekly Earnings in the U.S.Year Earnings
($)
1985 343
1990 412
1995 479
1999 549
2012 ??
Write an equation using (1990, 412) and (1985, 343)
y = 13.8x – 27050
2012, 715.6
First things first – identify the Independent and dependent variable
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Partner Practice
Work on the problem marked on your paper on your own.
Find the person with the same problem and color as you.
Compare your work on the first problem and make changes.
Complete the second problem together.
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#1
(19, 126) and (26, 173)
126 – 173 -47 19 – 26 -7 m = 6.7 126 = 6.7(19) + b 126 = 127.3 + b -1.3 = b
y = 6.7x – 1.3
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#2
(5.1, 56) and (9.0, 40)
56 – 40 16 5.1 – 9.0 -3.9 m = -4.1 40 = -4.1(9) + b 40 = -36.9 + b 76.9 = b
y = -4.1x + 76.9
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#3
(17, 24) and (75, 52)
24 – 52 -28 17 – 75 -58 m = .48 24 = .48(17) + b 24 = 8.16 + b 15.84 = b
y = .48x + 15.84
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#4
(9, 6.0) and (41, 1.2)
6.0 – 1.2 4.8 9 – 41 -32 m = -.15 6.0 = -.15(9) + b 6.0 = -1.35 + b 7.35 = b
y = -.15x + 7.35
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Sales Representatives and Their Sales
Years Sales ($)
6 9000
5 6000
3 4000
1 3000
4 6000
3 5000
6 8000
2 2000
Create a scatter plot.
Draw a line of best fit.
Write a prediction equation.
Predict the sales for a representative with 8 years of experience.
First things first – identify the Independent and dependent variable
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Essential Question:
What do I need to study most about scatter plots and writing equations to be successful on the quiz tomorrow?
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DOL
Determine correlation Determine correlation
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DOL
Year Homes w/ Internet (in millions)
1995 10.11998 50.62001 87.22004 129.12007 171.62010 208.6
•Create a scatter plot.•Use the fourth and sixth set of points to write a prediction equation•Draw a line of best fit•How many homes will have internet in 2020? Make a prediction. Explain how you determined your prediction.
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Determine correlation Determine correlation
BB
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Answers
Year Homes w/ Internet (in millions)
1995 10.11998 50.62001 87.22004 129.12007 171.62010 208.6 y = 13.25x – 26423.9
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Prediction: 341.1 million homes
Research will not be true
Grading scale: 1 – axes correctly
labeled 1 – points plotted 2 – line of best fit 1 – slope of line 1 – y-intercept 1 – equation of line 1 – plugging in for
correct variable 1 – correct prediction 1 – correct explantation