Using Scatter Plots to Identify Relationships Between Variables. LG : I can create a scatter plot LG: I can interpret a scatter plot by identifying the dependent and independent variables LG: I can distinguish between causation and correlation. Minds On.
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Using Scatter Plots to Identify Relationships Between Variables
LG: I can create a scatter plotLG: I can interpret a scatter plot by identifying the dependent and independent variables
LG: I can distinguish between causation and correlation
we ALWAYS plot the __________________ variable on the x-axis, and the ___________________ variable on the y-axis.
independent
dependent
y
dependent
x
independent
EXAMPLE 1Designing and Conducting an Experiment
A group of rock climbers want to investigate the effects of practice and the time it takes to climb a wall. The results of the experiment are provided.
(1) When organizing the results, what would be the variable
There are two variables
- Trial number
- Time
(2) Why would displaying the results using a scatter plot be the most appropriate for this experiment?
We are dealing with two variables
COLLECT AND ORGANIZE DATA
EXAMPLE 1Designing and Conducting an Experiment
# of Trials vs. Time
(3) Display the data on a scatterplot
Time (in minutes)
Trial Number
COLLECT AND ORGANIZE DATA
EXAMPLE 1Designing and Conducting an Experiment
# of Trials vs. Time
(4) Analyse the data. What can you conclude about the data collected?
As the participants had more practice, their times were faster
Improved performance
Time (in minutes)
Trial Number
Like this!
increase together
increases
decreases
Like this!
Weak positive
No correlation
Strong positive
Points are spread out? WEAK
Points appear to lie on a line? STRONG
Points are scattered/No visible trend? NO CORRELATION
Davis conducted an experiment comparing a person’s leg length and how long it takes the same person to walk 100 m. His data is plotted here in the scatter plot.
(a) Does the data suggest a relationship between leg length and time taken to walk 100 m? If so, describe the relationship.
(b) Use the graph to estimate the time it would take a person with legs that are 85 cm long to walk 100 m.
State whether each claim is reasonable.
State whether each claim is reasonable.
State whether each claim is reasonable.
A group of scientists were trying to determine some risk factors for heart disease. They performed multiple blood tests on 5000 people and then tracked these people for 20 years to determine which ones developed heart disease. They found that those people with the highest levels of triglyceride (fat) in their blood were most likely to develop heart disease. Based on these observations, it has been recommended that Canadians opt for a diet low in fat to reduce risk of heart disease.
1) Read the information above
2) With your group:
Homework: Pg. 142-147 # 1-6, 8, 9, 13, 15