Scatterplots.notebook
November 28, 2016
Prefix­
Suffix­
Nov 22­2:37 PM
­tion (shun)
meaning:
list of words ending with ­tion
Nov 22­2:37 PM
1
Scatterplots.notebook
November 28, 2016
cor­
meaning: words beginning with the prefix cor­
Nov 22­2:37 PM
Unit 5 Day 1 Warm‐Up
Scaerplots
Which of the following are linear relationships? Why or why not?
a. y = ­5x + 1
c. y = 3
b. d.
Jul 7­2:31 PM
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Scatterplots.notebook
November 28, 2016
Targets
Unit 5 Day 1 Scaerplots
Students can:
ü Target #7: recognize possible associaons and trends in the data
ü Target #8: represent data on two quantave variables on a scaer plot
ü Target #9: fit a linear funcon for a scaer plot
Jul 7­4:01 PM
Mini Lesson
Unit 5 Day 1 Scaerplots
Scaerplot : A graph that relates two quantave variables (a group of data).
Temperature 30
45
Coffee Shop $35 $10
Sales
0
15
20
5
35
10
$75
$5
$30 $65 $20
$45
Jul 7­2:31 PM
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Scatterplots.notebook
November 28, 2016
Correlaon: The degree to which two variables are associated.
Posive Correlaon
Both sets of data increase together
Negave Correlaon
No Correlaon
One set of data increases Data sets are not related
as the other set decreases
Posive Correlaon
Both sets of data increase together
No Correlaon
Data sets are not related
Negave Correlaon
One set of data decreases as the other increases
Oct 11­1:51 PM
y
80
70
Describe the correlaon of the scaerplot.
(0 , 75)
(5 , 65)
60
50
(10 , 45)
40
(20 , 30)
30
(30 , 35)
(35 , 20)
20
10
0
(45 , 10)
(15 ,
5)
10
20
x
30
40
50
Outlier: A data value that is much higher or lower than the other data values in the set.
State any outliers in the data.
Oct 11­1:48 PM
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Scatterplots.notebook
November 28, 2016
Line of Best Fit (Trend Line): A line that best represents the data on a scaerplot
• The line should go through as many points as possible with approximately the same number of points above the line as there are below the line.
• Outliers should not be included in the line of best fit
Good Line of Best Fit
Bad Line of Best Fit
Worst Line of Best Fit
Jul 7­2:31 PM
Draw a line of best fit that models the trend in the plot. y
80
70
(0 , 75)
(5 , 65)
60
50
(10 , 45)
40
(20 , 30)
30
(30 , 35)
(35 , 20)
20
10
0
(45 , 10)
(15 ,
5)
10
20
x
30
40
50
Jul 7­2:31 PM
5
Scatterplots.notebook
November 28, 2016
Unit 5 Day 1 WORKSHOP:
Scaerplots
1) Laine had a babysing service the summer before she le for Illinois State. She earned $1200. While she did spend some of it on new college clothes, she saved quite a bit to have some spending money while away at college. The following table shows her bank account balance over a 9‐week period in the fall semester.
Week 1
2
3
4
5
6
7
8
9
Money 810
788
450
745
715
692
668
640
615
a) Make a scaerplot of Laine’s bank balance data.
b) State any outliers.
c) Draw a line of best fit that models the trend in the plot.
d) Describe the correlaon.
Jul 7­2:31 PM
Unit 5 Day 1 WORKSHOP:
Scaerplots
Laine’s Bank Balance
Week Money 1
810
2
788
3
450
4
745
5
715
6
692
7
668
8
640
9
615
a) Make a scaerplot of Laine’s bank balance data.
b) State any outliers.
c) Draw a line of best fit that models the trend in the plot.
d) Describe the correlaon.
Jul 7­2:31 PM
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Scatterplots.notebook
November 28, 2016
Workshop
Scaerplots
Unit 5 Day 1 Workshop
Outlier: (3, 450)
Negative Correlation
Jul 7­2:31 PM
WORKSHOP:
Scaerplots
2. Would you expect a posive correlaon, negave coorelaon, or no correlaon between the two data sets?
a. The amount of free me you have and the number of classes you take
b. The height of a person and the color of their hair
c. The number of calories burned and the number of hours spent exercising
d. The duraon of a plane ride and the number of passengers
Jul 7­2:31 PM
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Scatterplots.notebook
November 28, 2016
WORKSHOP:
Scaerplots
3. Do the graphs have a posive, negave or no coorelaon?
Graph #1
Graph #2
Graph #3
Graph #4
Jul 7­2:31 PM
Now we need to pracce trends
• Get your chromebook • Algebra I KK 8&9 to at least an 80% Jul 7­2:31 PM
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Scatterplots.notebook
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Nov 18­2:11 PM
9