AP Stats 3.1 Understanding Scatterplots

Sophia and Abigail are working on a project to analyze the relationship between the number of hours spent studying and test scores. Which type of data visualization should they use to display this relationship?

• A scatterplot is a type of data visualization that displays the relationship between two categorical variables.

• A scatterplot is a type of data visualization that displays the relationship between a numerical variable and a categorical variable.

• A scatterplot is a type of data visualization that displays the relationship between two numerical variables using a line graph.

• A scatterplot is a type of data visualization that displays the relationship between two numerical variables.

Mia, Liam, and Rohan are studying the relationship between the number of hours spent studying and test scores. How can they interpret a scatterplot to analyze this relationship?

• A scatterplot is a type of bar chart.

• A scatterplot shows the distribution of a single variable.

• A scatterplot is used to compare three or more variables.

• A scatterplot is a graphical representation of the relationship between two variables.

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CCSS.8.SP.A.1

In a science experiment, Ava, Henry, and David observed the relationship between the temperature of water and the time it takes for sugar to dissolve in it. What does a positive correlation in their scatterplot indicate?

• The temperature of the water and the time it takes for sugar to dissolve are not related to each other.

• As the temperature of the water increases, the time it takes for sugar to dissolve also tends to increase.

• There is no relationship between the temperature of the water and the time it takes for sugar to dissolve.

• As the temperature of the water increases, the time it takes for sugar to dissolve tends to decrease.

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Rohan, Isla, and Jackson are studying the relationship between the number of hours spent studying and the test scores of their classmates. What does a negative correlation in their scatterplot indicate?

• There is no relationship between the hours spent studying and test scores.

• As the number of hours spent studying increases, the test scores also increase.

• As the number of hours spent studying increases, the test scores decrease.

• As the number of hours spent studying decreases, the test scores also decrease.

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In a science project, Evelyn, Ethan, and Kai are trying to identify outliers in a scatterplot of the relationship between the number of hours spent studying and test scores. How can they identify outliers in the scatterplot?

• By identifying data points that are similar to the main cluster of points.

• By observing data points that are significantly distant from the main cluster of points.

• By looking for data points that are close to the main cluster of points.

• By focusing on data points that are located in the center of the scatterplot.

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CCSS.8.SP.A.1

Ethan and Noah are conducting a study on the relationship between the number of hours spent studying and test scores. What is the purpose of a scatterplot in this context?

• To calculate the correlation coefficient between hours spent studying and test scores.

• To display the relationship between hours spent studying and test scores.

• To compare the means of different groups, such as Abigail's study group and Ethan's study group.

• To show the distribution of a single variable, such as the number of hours spent studying.

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Grace, David, and Mason are studying the correlation between the number of hours studied and the grades obtained. How can they determine the strength of this correlation using a scatterplot?

• By counting the number of data points in the scatterplot.

• By calculating the average of the data points in the scatterplot.

• By measuring the size of the data points in the scatterplot.

• By examining the closeness of the data points to a straight line.

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Benjamin, Harper, and Maya are working on a science project where they have to represent data. What are the advantages of them using a scatterplot to represent their data?

• Scatterplots provide a clear visual representation of data.

• Scatterplots help visualize relationships and patterns in data.

• Scatterplots allow for easy identification of outliers.

• Scatterplots make it easier to understand complex data.

Anika, Aria, and Olivia are working on a project for their statistics class. They are considering using a scatterplot to represent their data. What could be the limitations of using a scatterplot in their case?

• Scatterplots can represent more than two variables at a time.

• Scatterplots can accurately represent the distribution of data even with many overlapping points.

• Scatterplots are not suitable for representing categorical data.

• Scatterplots can only represent two variables at a time and may not accurately represent the distribution of data if there are many overlapping points.

Abigail, Samuel, and Mason are working on a science project where they are studying the population of a certain species of birds in their local area. They have collected data over a period of time and plotted it on a scatterplot. How can they use this scatterplot to identify trends or patterns in the bird population data?

• By calculating the average of the data points on the scatterplot.

• By analyzing the distribution and shape of the data points on the scatterplot.

• By connecting the data points with a line on the scatterplot.

• By examining the color or size of the data points on the scatterplot.

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