Scatter Plots and Trend Lines for Data Analysis
5-7
Scatter Plots and
Trend Lines
Scatter Plot:
A graph that relates
two different sets of data by
displaying them as ordered pairs
Trend Line:
a line on a scatter plot, drawn
near the points, that shows a correlation
Interpolation:
estimating a value between
two know values
Extrapolation:
Predicting a value outside
the range of known values
Problem 1/2: Making a Scatter Plot, Describing
its Correlation, and making a trend line
The table shows the altitude of an airplane and the
temperature outside the plane.
A)
Make a scatter plot of the data
B)
What type of relationship does the scatter plot
show?
C)
Draw the trend line and write the equation.
D)
Predict the temperature when the altitude is
7500
Altitude (m)
Temperature (F)
Line of best fit:
the trend that shows
the relationship between two sets of
data
Causation:
when a change in one
quantity causes a change in a second
quantity
(a correlation between quantities does
not always imply causation)
Problem 4: Identifying Whether
Relationships are Causal
In the following situations, is there likely to be a
correlation? If so, does the correlation reflect a causal
relationship? Explain?
The number of loaves of bread baked and the amount
of flour used
In the following situations, is there likely to be a
correlation? If so, does the correlation reflect a causal
relationship? Explain?
The number of mailboxes and the number of
firefighters in a city
Scatter plots display data as ordered pairs to show relationships, while trend lines indicate correlation. Learn how to create scatter plots, interpret correlations, draw trend lines, and make predictions. Explore causation versus correlation and practice identifying causal relationships in various scenarios.
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Presentation Transcript
5-7 Scatter Plots and Trend Lines
Scatter Plot: A graph that relates two different sets of data by displaying them as ordered pairs
Trend Line: a line on a scatter plot, drawn near the points, that shows a correlation Interpolation: estimating a value between two know values Extrapolation: Predicting a value outside the range of known values
Problem 1/2: Making a Scatter Plot, Describing its Correlation, and making a trend line The table shows the altitude of an airplane and the temperature outside the plane. A) Make a scatter plot of the data B) What type of relationship does the scatter plot show? C) Draw the trend line and write the equation. D) Predict the temperature when the altitude is 7500
Plane Altitude and Outside Temperature 70 60 50 40 Temperature (F) 30 20 10 0 1000 2000 3000 4000 5000 Altitude (m)
Line of best fit: the trend that shows the relationship between two sets of data Causation: when a change in one quantity causes a change in a second quantity (a correlation between quantities does not always imply causation)
Problem 4: Identifying Whether Relationships are Causal In the following situations, is there likely to be a correlation? If so, does the correlation reflect a causal relationship? Explain? The number of loaves of bread baked and the amount of flour used
In the following situations, is there likely to be a correlation? If so, does the correlation reflect a causal relationship? Explain? The number of mailboxes and the number of firefighters in a city
