Scatterplot Basics
What is a scatterplot?
A graph that shows the relationship between two variables.
What does it mean if the points on a scatterplot are clustered together?
There is a strong relationship between the two variables.
What is an outlier?
A data point that is significantly different from the other data points.
What is a trend line?
A line that represents the general trend of the data on a scatterplot.
Give an example of a real-world situation that could be represented by a scatterplot.
The relationship between hours studied and test scores, the relationship between age and height, the relationship between temperature and ice cream sales.
What are the two axes of a scatterplot called?
X-axis (horizontal) and Y-axis (vertical)
What does it mean if the points on a scatterplot are spread out?
How can an outlier affect the trend line?
It can pull the trend line towards itself, making it less representative of the overall trend.
How is a trend line used?
To make predictions about the relationship between the two variables.
How can scatterplots be used to make predictions?
By using the trend line to estimate the value of one variable based on the value of the other variable.
What is the difference between an independent and dependent variable?
What is a positive association?
As one variable increases, the other variable also increases.
Should outliers always be removed from a data set?
No, outliers should only be removed if they are determined to be errors or not representative of the population.
What is the equation of a line?
y = mx + b, where m is the slope and b is the y-intercept.
What are some limitations of using scatterplots to make predictions?
Predictions are only reliable within the range of the data used to create the scatterplot. Outliers can also affect the accuracy of predictions.
What is a data point on a scatterplot?
A single point representing the values of the two variables for a specific observation.
What is a negative association?
As one variable increases, the other variable decreases.
How can you identify an outlier on a scatterplot?
It is a point that is far away from the other points on the plot.
How do you interpret the slope of a trend line?
It represents the rate of change between the two variables.
How can scatterplots be used to identify potential relationships between variables?
By looking for patterns and trends in the data, such as positive or negative associations.
What is the purpose of a scatterplot?
To visually represent the relationship between two variables and identify any patterns or trends.
What is no association?
There is no relationship between the two variables.
What are some possible reasons for the existence of outliers?
Errors in data collection, unusual events, or data from a different population.
How do you interpret the y-intercept of a trend line?
It represents the value of the dependent variable when the independent variable is zero.
How can scatterplots be used to communicate data?
They provide a visual representation of the relationship between two variables, making it easier to understand and interpret the data.