Do Now 12/2/09Do Now 12/2/09

Take out HW from last night. Take out HW from last night. -- Punchline worksheet 7.19 Punchline worksheet 7.19

Copy HW in planner.Copy HW in planner.- Text p. 328, #3-6, 8-12 evens, 16 & 17 Text p. 328, #3-6, 8-12 evens, 16 & 17 (4 graphs)(4 graphs)

- Quiz sections 5.5 - 5.7 FridayQuiz sections 5.5 - 5.7 Friday

HomeworkHomework Punchline worksheet 7.19 Punchline worksheet 7.19

1) y – 2 = 4/3(x – 7)1) y – 2 = 4/3(x – 7) 2) y + 4 = -2/5(x – 4)2) y + 4 = -2/5(x – 4) 3) y = 3x + 83) y = 3x + 8 4) y = 1/4x + 3/24) y = 1/4x + 3/2 5) 2x + 3y = -115) 2x + 3y = -11 6) -5x + y = 76) -5x + y = 7 7) y – 7 = 2(x + 4)7) y – 7 = 2(x + 4) 8) y + 1= -3/8(x – 6) 8) y + 1= -3/8(x – 6) 9) y = 5/2x – 1 9) y = 5/2x – 1 10) y = -1/6x + 3/210) y = -1/6x + 3/2 11) -3x + 4y = 1511) -3x + 4y = 15 12) 7x + 2y = -1512) 7x + 2y = -15 13) y = 5/3x – 3 13) y = 5/3x – 3 14) y = -4/9x – 40/914) y = -4/9x – 40/9 15) y = -3x – 6 15) y = -3x – 6

““AND ORDERED PEARS”AND ORDERED PEARS”

“ “Did You Hear About the Did You Hear About the Mathematician Who Wanted to Mathematician Who Wanted to Make a Fruit Salad, So He Make a Fruit Salad, So He Bought Some Apples and Bought Some Apples and Oranges?”Oranges?”

Objective Objective

SWBAT make scatter plots and write SWBAT make scatter plots and write equations to model dataequations to model data

Section 5.6 “Fit a Line to Data”Section 5.6 “Fit a Line to Data”

a graph used to determine whether there is a graph used to determine whether there is a relationship between paired data.a relationship between paired data.

Scatter PlotScatter Plot

y

x

Scatter plots can show Scatter plots can show trendstrends (patterns) in (patterns) in the data.the data.

y

x

y

x

y

x

Positive correlation Negative correlation Relatively no correlation

As y tends to increase, x tends to increase.

As y tends to decrease, x tends to increase.

x and y have no apparent relationship.

Make a scatter plot of the data in the table. Make a scatter plot of the data in the table. Describe the correlation of the data.Describe the correlation of the data.

xx 11 11 22 2.52.5 33 3.53.5 44 55

yy 11 22 22 33 3.53.5 33 44 44

11

22

33

44

00 11 22 33 44 55 66

y-axisy-axis

x-axisx-axis77

The scatter plot The scatter plot shows a shows a positive positive correlationcorrelation because because as x tends to as x tends to increase, y tends to increase, y tends to increase.increase.

Make a scatter plot of the data in the table. Make a scatter plot of the data in the table. Describe the correlation of the data.Describe the correlation of the data.

Minutes on Minutes on treadmilltreadmill

00 55 1010 1515 2020 2525 3030 3535

Ounces of Ounces of water in water in

water bottlewater bottle

1212 1212 1010 99 77 77 55 33

44

88

00 55 1010 1515 2020 2525 3030

y-axisy-axis

x-axisx-axis3535

The scatter plot The scatter plot shows a shows a negative negative correlationcorrelation because because as minutes on the as minutes on the treadmill increase, treadmill increase, ounces of water in ounces of water in the water bottle the water bottle decreases.decreases.

1212

Ounces of water in water bottle

Minutes on the treadmill

Modeling DataModeling DataWhen data show a positive or negative When data show a positive or negative

correlation, you can model the trend in the correlation, you can model the trend in the data using a data using a LINE OF FITLINE OF FIT

Using a Line of Fit to Model DataUsing a Line of Fit to Model Data

1)1) ..

2)2) ..

3)3) ..

4)4) ..

Decide whether the data can be a modeled by a line. (Does Decide whether the data can be a modeled by a line. (Does it have positive or negative correlation?)it have positive or negative correlation?)

Make a scatter plot of the data.Make a scatter plot of the data.

Draw a line that appears to fit the data closely.Draw a line that appears to fit the data closely.

Write an equation using two points on the line. Write an equation using two points on the line. (The points do not have to be actual data pairs, but (The points do not have to be actual data pairs, but they do have to be on the line.)they do have to be on the line.)

Draw a line of fit for the scatter plot. Write an equation that Draw a line of fit for the scatter plot. Write an equation that models the number of ounces of water left in the water models the number of ounces of water left in the water

bottle as a function of minutes on the treadmill.bottle as a function of minutes on the treadmill.Minutes on Minutes on

treadmilltreadmill00 55 1010 1515 2020 2525 3030 3535

Ounces of Ounces of water in water in

water bottlewater bottle

1212 1212 1010 99 77 77 55 33

44

88

00 55 1010 1515 2020 2525 3030

y-axisy-axis

x-axisx-axis3535

Write an equation using two Write an equation using two points on the line. points on the line. 1212

Ounces of water in water bottle

Minutes on the treadmill

Use the points (5,12) and (30,4). Use the points (5,12) and (30,4).

12 – 412 – 4 = _ = _8_8_ 5 – 30 -255 – 30 -25

Find the y-intercept. Use (5,12).Find the y-intercept. Use (5,12).

y = mx + by = mx + b

12 =12 = 8 ( 8 (5) + b b = 5) + b b = 6868 -25 5-25 5

y = y = 8 8 x + x + 6868 -25 5-25 5

0000 0101 0202

Enrollment at Howell Middle School SouthEnrollment at Howell Middle School South

0303 0404 0505 0606 0707 0808yearyear

Stu

dent

enr

ollm

ent

Stu

dent

enr

ollm

ent

900900

890890

880880

930930

920920

910910

950950

940940

00 11 22 33 44 55 66 77 88 99

880880 890890 895895 890890 900900 900900 910910 905905 920920 930930

0909

Years since 2000

Enrollment

Draw a line of fit for the scatter plot. Write an equation that models the Draw a line of fit for the scatter plot. Write an equation that models the number of years since 2000 as a function student enrollment.number of years since 2000 as a function student enrollment.

x-axisx-axis

Write an equation using two Write an equation using two points on the line. points on the line.

Use the points (4, 900) andUse the points (4, 900) and (6, 910). (6, 910).

910 – 900910 – 900 = = _10_10_ = 5_ = 5 6 – 4 26 – 4 2

Find the y-intercept. Find the y-intercept. Use (4, 900).Use (4, 900).

y = mx + by = mx + b

900 = 5(4) + b b = 880 900 = 5(4) + b b = 880

y = 5x + 880 y = 5x + 880

HomeworkHomeworkText p. 328, #3-6, 8-12 evens, 16 & 17 Text p. 328, #3-6, 8-12 evens, 16 & 17

(4 graphs)(4 graphs)

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