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

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.

Essential Question:

What do I need to study most about scatter plots and writing equations to be successful on the quiz tomorrow?

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:

Determine Correlation

A - Positive B - Negative C - No Correlation

Determine Correlation A - Positive B - Negative C - No Correlation

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.

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.

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

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

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

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

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.

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

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.

#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

#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

#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

#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

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

Essential Question:

What do I need to study most about scatter plots and writing equations to be successful on the quiz tomorrow?

DOL

Determine correlation Determine correlation

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.

Determine correlation Determine correlation

BB

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

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