Podcast
Questions and Answers
Which of the following scenarios would most likely produce a scatterplot with a strong positive correlation?
Which of the following scenarios would most likely produce a scatterplot with a strong positive correlation?
- The number of hours studied and exam scores. (correct)
- Foot size and reading speed.
- The amount of rainfall and the number of sunny days in a month.
- Price of gasoline and number of cars on the road.
In a scatterplot, data points are scattered randomly with no discernible pattern. What type of correlation, if any, exists between the variables?
In a scatterplot, data points are scattered randomly with no discernible pattern. What type of correlation, if any, exists between the variables?
- Strong positive correlation
- Weak negative correlation
- No correlation (correct)
- Perfect negative correlation
A nutritionist observes that as the amount of fiber in a person's diet increases, their reported hunger levels decrease. Which type of correlation would this suggest?
A nutritionist observes that as the amount of fiber in a person's diet increases, their reported hunger levels decrease. Which type of correlation would this suggest?
- Perfect positive correlation
- Negative correlation (correct)
- Positive correlation
- No correlation
If a scatterplot shows data points closely clustered around a line sloping downwards from left to right, what does this indicate about the correlation?
If a scatterplot shows data points closely clustered around a line sloping downwards from left to right, what does this indicate about the correlation?
Which of the following statements best describes the relationship between the strength of a correlation and the scatter of data points in a scatterplot?
Which of the following statements best describes the relationship between the strength of a correlation and the scatter of data points in a scatterplot?
Which of the following scenarios would most likely produce a scatterplot with a positive correlation?
Which of the following scenarios would most likely produce a scatterplot with a positive correlation?
A researcher plots data showing the relationship between the number of hours students spend studying and their final exam scores. The resulting scatterplot shows a clear upward trend. What can the researcher reasonably conclude?
A researcher plots data showing the relationship between the number of hours students spend studying and their final exam scores. The resulting scatterplot shows a clear upward trend. What can the researcher reasonably conclude?
Which scatterplot would most likely represent no correlation?
Which scatterplot would most likely represent no correlation?
Which data set is most likely to produce a scatterplot demonstrating a negative correlation?
Which data set is most likely to produce a scatterplot demonstrating a negative correlation?
A scatterplot shows the relationship between outside temperature and the sales of hot chocolate at a coffee shop. If the data points are clustered randomly with no clear trend, what inference can be best made?
A scatterplot shows the relationship between outside temperature and the sales of hot chocolate at a coffee shop. If the data points are clustered randomly with no clear trend, what inference can be best made?
Flashcards
Scatterplot
Scatterplot
A graph with data points showing the relationship between two variables.
Correlation
Correlation
A relationship or pattern between two variables.
Positive Correlation
Positive Correlation
A correlation where the data trends upwards from left to right.
Negative Correlation
Negative Correlation
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No Correlation
No Correlation
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No Correlation Scatterplot
No Correlation Scatterplot
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Positive Correlation Scatterplot
Positive Correlation Scatterplot
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Negative Correlation Scatterplot
Negative Correlation Scatterplot
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Strength of Correlation
Strength of Correlation
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Perfect Negative Correlation
Perfect Negative Correlation
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Study Notes
- A scatterplot represents the relationship between two quantities using data points on a graph.
- The points are plotted as (x, y) pairs.
Correlation
- Correlation indicates a relationship between two quantities.
- In math, correlation means data points follow a pattern and go in the same direction.
- Positive correlation: data trends upward from left to right.
- Negative correlation: data trends downward from left to right.
- No correlation: data points don't follow a pattern.
No Correlation Scatterplot
- Data does not follow a positive or negative pattern.
- There is no predictable change in the dependent variable as the independent variable increases.
- A function cannot reliably represent the graph.
- Example: Foot size vs. arm length shows no correlation.
Positive Correlation Scatterplot
- Data points trend upward from left to right.
- As x increases, y generally increases, showing a positive association.
- A linear function can represent the scatterplot.
- Example: Boxes of cereal sold vs. money earned demonstrate positive correlation.
Negative Correlation Scatterplot
- Data points trend downwards from left to right.
- As x increases, y generally decreases, showing a negative association.
- A linear function can represent the scatterplot.
- Example: Protein eaten vs. hunger felt shows negative correlation.
Strength of Correlation
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Refers to how closely a function of best fit matches the data.
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Perfect negative correlation: The line of best fit goes through every data point and has a negative slope.
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Strong negative correlation: The line of best fit is very close to every data point and has a negative slope.
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Weak negative correlation: The line of best fit is far from every data point and has a negative slope.
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Perfect positive correlation: The line of best fit goes through every data point and has a positive slope.
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Strong positive correlation: The line of best fit is very close to every data point and has a positive slope.
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Weak positive correlation: The line of best fit is far from every data point and has a positive slope.
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Description
Understand scatterplots, correlation, positive correlation and no correlation. Learn how data points on a graph reveal relationships between two quantities. See examples of positive and no correlation.
