17-19 best fit line.notebook - isd 622
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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.
1719 Best Fit Line.notebook September 19, 2014
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.
1719 Best Fit Line.notebook September 19, 2014
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.
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 much should you expect to pay for a car that is 7 years old? Show or explain how you got your answer.
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) 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
1719 Best Fit Line.notebook September 19, 2014
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
1719 Best Fit Line.notebook September 19, 2014
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
1719 Best Fit Line.notebook September 19, 2014
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
1719 Best Fit Line.notebook September 19, 2014
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
1719 Best Fit Line.notebook September 19, 2014
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
1719 Best Fit Line.notebook September 19, 2014
Strong vs. Weak Correlation
fitted line
fitted line3
1719 Best Fit Line.notebook September 19, 2014
Does studying matter?Ex. 1
1719 Best Fit Line.notebook September 19, 2014
Does bigger TV mean watching more TV?Ex. 2
1719 Best Fit Line.notebook September 19, 2014
Does playing too much video games waste brain cells?Ex. 3
1719 Best Fit Line.notebook September 19, 2014
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?
1719 Best Fit Line.notebook September 19, 2014
p.16
1719 Best Fit Line.notebook September 19, 2014
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)
1719 Best Fit Line.notebook September 19, 2014
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)
1719 Best Fit Line.notebook September 19, 2014
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)
1719 Best Fit Line.notebook September 19, 2014
Summary:A fitted line can only be drawn on scatter plots that show a pos. or neg. corr.
Use fitted line to make predictions.
1719 Best Fit Line.notebook September 19, 2014
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.
1719 Best Fit Line.notebook September 19, 2014
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