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Investigating Scatter Plots. Mr. J. D. Miles www.JovanMiles.com milesmath@gmail.com. Investigating Scatter Plots. Investigating Scatter Plots. Scatter plots are similar to line graphs in that each graph uses the horizontal ( x ) axis and vertical ( y ) axis to plot data points. - PowerPoint PPT Presentation
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Investigating Scatter Plots
Mr. J. D. Miles
www.JovanMiles.com
milesmath@gmail.com
Investigating Scatter Plots
Weight Loss Over Time
0
50
100
150
200
250
0 2 4 6 8 10 12
Days worked out per month
Weig
ht
Weight
How shirts affect salary
0
100000
200000
300000
400000
500000
1 3 5 7 9 11 13 15 17
Shirts Owned
Sal
ary
How Study Time Affects Grades
0
20
40
60
80
100
120
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
Time in hours
Ove
rall
grad
e
Investigating Scatter Plots
• Scatter plots are similar to line graphs in that each graph uses the horizontal ( x ) axis and vertical ( y ) axis to plot data points.
• Scatter plots are most often used to show correlations or relationships among data.
Investigating Scatter Plots
• Positive correlations occur when two variables or values move in the same direction.
As the number of hours that you study increases your overall class grade increases
Investigating Scatter Plots – Positive Correlation
Study Time Class Grade
0 55
0.5 61
1 67
1.5 73
2 81
2.5 89
3 91
3.5 93
4 95
4.5 97
How Study Time Affects Grades
0
20
40
60
80
100
120
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
Time in hours
Ove
rall
gra
de
Investigating Scatter Plots
• Negative Correlations occur when variables move in opposite directions
As the number of days per month that you exercise increases your actual weight decreases
Investigating Scatter Plots – Negative Correlation
Weight Loss Over Time
0
50
100
150
200
250
0 2 4 6 8 10 12
Days worked out per month
Weig
ht
Weight
Work out time Weight
0 200
0.5 205
1 190
1.5 195
2 180
2.5 190
3 170
3.5 177
4 160
4.5 170
5 150
5.5 168
6 140
6.5 150
7 130
7.5 170
8 120
8.5 130
9 110
9.5 115
10 100
10.5 120
11 90
11.5 90
12 80
Investigating Scatter Plots
• No correlation exists if there is no noticeable pattern in the data
There is no relationship between the number of shirts someone owns and their annual salary
Investigating Scatter Plots – No Correlation
How does your wardrobe affect your salary
0
20
40
60
80
0 10 20 30 40 50
Number of shirts owned
Sal
ary
number of shirts owned salary
1 1
2 0
3 50
4 30
5 25
6 17
7 2
8 40
9 8
10 25
11 12
12 7
13 19
14 55
15 71
16 9
Line of Best Fit
• A line of best fit is a line that best represents the data on a scatter plot.
• A line of best fit may also be called a trend line since it shows us the trend of the data
The line may pass through some of the points, none of the points, or all of the points.
The purpose of the line of best fit is to show the overall trend or pattern in the data and to allow the reader to make predictions about future trends in the data.
Use the data to create a scatter plot
SandwichTotal Fat (g)
(X)Total Calories
(y)
Hamburger 9 260
Cheeseburger 13 320
Quarter Pounder 21 420
Quarter Pounder with Cheese 30 530
Big Mac 31 560
Arch Sandwich Special 31 550
Arch Special with Bacon 34 590
Crispy Chicken 25 500
Fish Fillet 28 560
Grilled Chicken 20 440
Grilled Chicken Light 5 300
Scatter Plot of the Data
Fat Grams and Calories in Food
0
100
200
300
400
500
600
700
0 5 10 15 20 25 30 35 40
Total Fat Grams
To
tal C
alo
rie
s
Things to remember
• A scatter plot with a positive correlation has X and Y values that rise together.
• A scatter plot with a negative correlation has X values that rise as Y values decrease
• A scatter plot with no correlation has no visible relationship
• The line of best fit is the line that best shows the trend of the data
Investigating Scatter Plots
Mr. J. D. Miles
www.JovanMiles.com
milesmath@gmail.com
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