17-19 best fit line.notebook - isd 622

1719 Best Fit Line.notebook September 19, 2014

Does studying matter?

p.17Learning Target:

Summary:

I can draw a best fit line on a scatter plot and use it to make predictions.

Remember what a scatter plot is?

a graph of a set of data pairs used to help you recognize _________ and make ___________.

Patterns of a scatter plots

1. Make scatter plot.2. Determine if there's a pattern/correlation.3. If there is a pattern, draw a ______________.4. Use fitted line to make ________________.

What's next?

Def.Fitted Line

• If a scatter plot has a pattern, a fitted line can be drawn to show a ____________.

• A fitted line is used to make ______________.• A fitted line is drawn:

> so half of the points are ________ and _________ the fitted line.

> follows the _______________________.

What test score should Jordan expect if he studies for 10 hours?

Ex.


A snack shop owner is trying to decide how much hot cocoa to make each day. The owner records the high temperatures and cocoa sales each day for two weeks.

a. Make a scatter plot of the data. Put high temperature on the horizontal axis.

b. If it makes sense to draw a fitted line, draw one.

c. What kind of correlation does the scatter plot have? Explain.

d. How many cups of cocoa should the owner expect to sell if the high temperature is 63 degrees? Explain or show how you got your answer.

e. If the owner plans to sell about 20 cups of cocoa in one day, what is the expected high temperature for that day? Explain or show how you got your answer.

f. Suppose one pot makes 10 cups of cocoa. How many pots should the owner make when the high temperature is 50 degrees?

p.18CW Pp.18 (1af) p.1820 (all)

Title: _____________

1.


A) What kind of correlation does the scatter plot model?

B) If there is a positive or negative correlation, draw a fitted line.

C) Describe a relationship of the scatter plot.

D) How many ice cream cones should the owner expect to sell if it's 80 degrees between 2 and 3pm? Show or explain how you got your answer.




D) How much should you expect to pay for a car that is 7 years old? Show or explain how you got your answer.




D) Why is it not possible to use this scatter plot to make predictions of the price of hair gel based on the quantity?

2. 3.

4.

p.19


The total cost for a family to join a local health club is $100 for the first month and $47 for each month after.

How much has the family spent if they have been members for 1 year?

equation & variablesCheck

"Remembering"

Use variables to write each word sentence as an equation. Tell what each variable represents.

5)

p.20

James just got a raise. He is now earning $13.40 an hour.

How many hours does he need to work if he wants to save $600?

equation & variables Check

6)a) b)

7) 8) 3x + 8 5 = 27

Solve & check Solve & check


IF Checking: p.1516Sketch a graph that has a positive correlation.

Name a set of variables that have a positive correlation.

Sketch a graph that has a negative correlation.

Name a set of variables that have a negative correlation.

Box 4

Box 5


P p.1516 correlation

1. positive as temperature increases, ice cream sales increase.

3. negative as CD sales increase, cassette sales decrease.

5. no correlation.

7. no correlation.

10a.

11a.

2. no correlation.

4. negative as car age increases, price decreases.

6. positive as hours spent reading increase, number of pages read increase.8. negative as x increases, y decreases.

speed in water = 5 speed in air

w = 5ab.

b.

294 m/sec = a

study = 3 hours in class

s = 3c

s = 12 hours


12 234

6

Awesome Awesome

56

Awesome Awesome347878

Awesome Awesome

Awesome Awesome

911 1011Awesome Awesome

1213 13

1416 1516

Awesome Awesome

next Monday: Checkin #2

next Thursday: Unit 1 Test

1720 1820

Awesome Awesome


Does studying matter?

Learning Target: I can draw a best fit line on a scatter plot and use it to make predictions.

Remember what a scatter plot is?

a graph of a set of data pairs used to help you recognize _________ and make ___________.

Patterns of a scatter plots

1. Make scatter plot.2. Determine if there's a pattern/correlation.3. If there is a pattern, draw a ______________.4. Use fitted line to make ________________.

What's next?

Def.Fitted Line

• If a scatter plot has a pattern, a fitted line can be drawn to show a ____________.

• A fitted line is used to make ______________.• A fitted line is drawn:

> so half of the points are ________ and _________ the fitted line.

> follows the _______________________.

What test score should Jordan expect if he studies for 10 hours?

Ex.

patterns predictions

positive corr. negative corr. no corr.

fitted line.predictions

patternpredictions

belowabove

pattern of the data

p.17


Strong vs. Weak Correlation

fitted line

fitted line3

http://staff.argyll.epsb.ca/jreed/math9/strand4/scatterPlot.htm

http://illuminations.nctm.org/LessonDetail.aspx?ID=L456


Does studying matter?Ex. 1


Does bigger TV mean watching more TV?Ex. 2


Does playing too much video games waste brain cells?Ex. 3


8.

p.15p.1516 (3, 6, 7, 14) p.1516 (all)

Draw fitted lines on problems 18 on p.15Are they weak or strong correlations?


p.16


Hour 3 Jump Data

(61, 91)(63, 92)(70, 108)(66, 97)

(61.5, 88) (71, 106)(68.5, 102) (70, 100) (65, 97) (62, 93) (62, 88) (62, 73) (70, 103)


Hour 4 Jump Data

(63, 91) (68, 92)(62.5, 96) (68, 97.5)

(63.5, 94) (62, 90) (63, 88) (56, 67)

(68, 103) (62, 90) (71, 104)(67.5, 105) (66.5, 97) (67.5, 108) (61, 91)


Hour 5 Jump Data

(62, 95) (65, 96) (62, 88) (66, 97)

(64, 91) (65, 92) (68, 106) (70, 108)

(68, 102) (71, 108) (64, 94) (65, 95)

(68, 95)


Summary:A fitted line can only be drawn on scatter plots that show a pos. or neg. corr.

Use fitted line to make predictions.


1. Complete problems first.

2. Check answers here.

3. Raise hand (Math Geek)purple sheet

4. Work on .

CW

P

CW

SHOW WORK!

p.18 (1)

p.1820 (all)P

1

1c. negative as temp increases, cups of cocoa sold decreases.1d. (answers will vary) about 15 cups. 1e. (answers will vary) about 60 degrees.1f. (answers will vary) 4 pots.


p.1820 correlationP1.

1c. negative as temp increases, cups of cocoa sold decreases.1d. about 15 cups. 1e. about 60 degrees.1f. about 34 pots.

2a. positive2c. as temp increases, cones sold increases.2d. about 35 cones

3a. negative3c. as car age increases, the price decreases.3d. about $2500

4a. no correlation

4c. there is no relationship between price and quantity of hair gel.

4d. there is no pattern in the data, so you cannot make valid predictions.

5a) b)

6a) b)

7) 8)

total cost = 100 + 47 month

t = 100 + 47m

t = $617

earnings = 13.40 hours

e = 13.40h

44.8 = hours

x = 8 16 = a

17-19 best fit line.notebook - isd 622

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