Exploring Scatter Plots and Two-way Tables

What is the primary purpose of using scatter plots in data analysis?

• To summarize data in a pie chart format

• To show the relationship between two variables

• To calculate the mean and median of a dataset

• To display data in a hierarchical structure

What does a two-way table help to identify?

• Associations between two categorical variables

• The exact values of data points

• The highest value in a dataset

• The mean of the dataset

What is a relative frequency in the context of a two-way table?

• The difference between the highest and lowest values

• The total number of occurrences of a category

• The ratio of the number of occurrences to the total number of observations

• The average value of all observations

What indicates a positive association in a scatter plot?

• There is no change in y as x changes

• As x increases, y increases

• As x increases, y decreases

• As x decreases, y decreases

How do you interpret the association between two variables in a scatter plot?

• By the shape of the data points

• By the number of data points

• By the direction and pattern of the data points

• By the color of the data points

What is the role of a line of best fit in a scatter plot?

• To calculate the area under the curve

• To connect all data points in the plot

• To precisely predict future data points

• To show the trend of the data points

What does a cluster in a scatter plot indicate?

• A group of data points that are closely packed together

• A single data point far away from others

• A group of data points spread out over the plot

• A linear relationship between two variables

How can you make a conjecture using a scatter plot?

• By identifying the mode of the dataset

• By drawing a line of best fit and analyzing its slope and intercept

• By counting the number of data points

• By calculating the average of all data points

What does the slope of the line of best fit represent?

• The maximum value of the dataset

• The rate of change between the two variables

• The minimum value of the dataset

• The total number of data points

What is the significance of the y-intercept in the line of best fit?

• It represents the slope of the line

• It indicates where the line crosses the y-axis

• It shows the highest value of the dataset

• It calculates the total area under the line