Holt CA Course 1 11-4Scatter Plots Warm Up Warm Up California Standards California Standards Lesson...
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Transcript of Holt CA Course 1 11-4Scatter Plots Warm Up Warm Up California Standards California Standards Lesson...
Holt CA Course 1
11-4 Scatter Plots
Warm UpWarm Up
California StandardsCalifornia Standards
Lesson PresentationLesson Presentation
PreviewPreview
Holt CA Course 1
11-4 Scatter Plots
Warm Up
Graph each point on the same coordinate plane.
1. A (5, 20)
2. B (20, 15)
3. C (10, 40)
4. D (30, 35)A
B
CD
Holt CA Course 1
11-4 Scatter Plots
SDAP1.2 Represent two numerical variables on a scatterplot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level).
California Standards
Holt CA Course 1
11-4 Scatter Plots
Vocabulary
scatter plotcorrelationpositive correlationnegative correlationno correlationline of best fit
Holt CA Course 1
11-4 Scatter Plots
A scatter plot is a graph with points plotted to show a possible relationship between two sets of data.
Holt CA Course 1
11-4 Scatter Plots
Use the given data to make a scatter plot of the weight and height of each member of a basketball team.
Additional Example 1: Making a Scatter Plot of a Data Set
Use the table to make ordered pairs for the scatter plot.The points on the scatter plot are (71, 170), (68, 160), (70, 175), (73, 180), and (74, 190).
Holt CA Course 1
11-4 Scatter Plots
Use the given data to make a scatter plot of the weight and height of each member of a soccer team.
Check It Out! Example 1
12062
13568
17569
15667
12563
Weight (lbs)Height (in)200
190
180
170
160
150
140
130
120
60 61 62 63 64 65 66 67 68 69
The points on the scatter plot are (63, 125), (67, 156), (69, 175), (68, 135), and (62, 120). Height
Weig
ht
Use the table to make ordered pairs for the scatter plot.
Holt CA Course 1
11-4 Scatter Plots
A correlation describes a relationship between two data sets. The correlation can help you analyze trends and make predictions. There are three types of correlations between data.
Holt CA Course 1
11-4 Scatter Plots
Write positive correlation, negative correlation, or no correlation to describe each relationship. Explain.
Additional Example 2: Determining Relationships Between Two Sets of Data
The graph shows that as area increases, population increases.
The graph shows a positive correlation between the data sets.
Holt CA Course 1
11-4 Scatter Plots
Write positive correlation, negative correlation, or no correlation to describe each relationship. Explain.
Check It Out! Example 2
Tornado Frequency
0
200
400
600
800
1000
1200
1940 1960 1980 2000
Year
Nu
mb
er
of
To
rna
do
s
The graph shows that as the year increases, number of tornados increases.
The graph shows a positive correlation between the data sets.
Holt CA Course 1
11-4 Scatter Plots
A line of best fit, or trend line, is a straight line that approximates the relationship between the data on a scatter plot. You can also use a line of best fit when making predictions based on data.
Holt CA Course 1
11-4 Scatter Plots
Use the data to predict how much a worker will earn in tips in 10 hours.
Additional Example 3: Using a Scatter plot to Make Predictions
Draw a line that has about the same number of points above and below it. Your line may or may not go through the data points.
According to the graph, a worker will earn approximately $24 in tips in 10 hours.
Find the point on the line whose x-value is 10. The corresponding y-value is 24.
Holt CA Course 1
11-4 Scatter Plots
Use the data to predict how many circuit boards a worker will assemble in 10 hours.
Check It Out! Example 3
According to the graph, a worker will assemble approximately 10 circuit boards in 10 hours.
Hours Worked 4 8 6 9 11
Circuit Board Assemblies 2 7 5 8 12
141210 8 6 4 2
2 4 6 8 10 12 14Hours
Cir
cu
it B
oard
Assem
blies
Draw a line that has about the same number of points above and below it. Your line may or may not go through the data points.Find the point on the line whose x-value is 10. The corresponding y-value is 10.
Holt CA Course 1
11-4 Scatter PlotsLesson Quiz: Part I
1. Use the given data to make a scatter plot.
Grading Period 1 2 3 4
Number of A’s 5 6 8 10
0
1
2
3
4
5
6
7
8
9
10
11
0 1 2 3 4
Grading PeriodN
umbe
r of
A's
Holt CA Course 1
11-4 Scatter PlotsLesson Quiz: Part II
Identify the correlation that you would expect to see between each pair of data sets.
2. the minimum wage and the year
3. the amount of precipitation and the day of the week
4. the amount of germs on your hands and the number of times you wash your hands in a day
no correlation
positive correlation
negative correlation