Questions and Answers
What is the difference between a categorical and continuous variable?
Categorical are assigned to discrete categories; continuous can take any value in a range.
What is the difference between an explanatory (or independent) variable and a response (or dependent) variable?
Explanatory is the factor that varies in an experiment; response is measured as the explanatory variable varies.
In describing a dataset, what does the mean represent?
Usually the arithmetic average.
In describing a dataset, what does the standard deviation or standard error represent?
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What is a bar plot, and what do the vertical lines on a bar plot represent?
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What is a scatterplot?
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Study Notes
Variable Types
- Categorical variables are classified into distinct groups or categories.
- Continuous variables can assume any value within a specified range.
Variable Roles in Experiments
- Explanatory (independent) variables are the factors manipulated in an experiment.
- Response (dependent) variables are the outcomes measured in response to changes in explanatory variables.
Dataset Descriptions
- The mean is commonly referred to as the arithmetic average of a dataset.
Measures of Variation
- Standard deviation indicates how much individual data points deviate from the mean.
- Standard error measures the accuracy of the sample mean in estimating the population mean.
Bar Plots
- Bar plots visually represent the mean of data points using the height of bars.
- Vertical lines on bar plots typically indicate the standard error of the mean.
Scatterplots
- Scatterplots display the relationship between two continuous variables, allowing for the identification of patterns or correlations.
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Description
Test your knowledge on the differences between categorical and continuous variables, as well as explanatory and response variables. This quiz is designed to enhance your understanding of fundamental statistics concepts crucial for data analysis and experimental design.