Exploring Scatter Plots and Trend Lines

What is the primary purpose of using scatter plots in statistics?

• To display data without any analysis

• To calculate exact numerical values

• To create complex mathematical models

• To show correlations between two sets of data

What type of correlation is depicted when both variables increase together?

• Negative correlation

• No correlation

• Positive correlation

• Undefined correlation

How can a trend line be useful in a scatter plot?

• To eliminate outliers from the data

• To reduce the size of the data set

• To make the plot look more appealing

• To predict values outside of the known data range

What does interpolation involve in the context of scatter plots?

• Estimating values beyond the data range

• Estimating values within the data range

• Ignoring the existing data points

• Changing the data points to fit a model

What is the line of best fit?

• A line that is perpendicular to all data points

• A line that approximates the trend of the data

• A line that passes through all data points

• A line that connects only the highest values

What is extrapolation in the context of scatter plots?

• Ignoring the trend shown by the data

• Connecting all data points with straight lines

• Predicting values outside of the known data range

• Predicting values within the known data range

What does a correlation coefficient close to 1 indicate?

• Weak correlation

• Strong positive correlation

• Negative correlation

• No correlation

Does a high number of mailboxes in a city imply more firefighters are needed?

• No, because mailboxes decrease fire risks

• Yes, because it indicates a larger population

• No, there is no causation between these variables

• Yes, because more mailboxes mean more buildings

Can the size of a house determine the cost of a family's vacation?

• Yes, as larger houses mean more wealth

• No, there is no direct causation

• Yes, because larger houses have more expenses

• No, because vacation costs are unrelated to house size

How does the number of loaves of bread baked relate to the amount of flour used?

• No correlation

• Positive correlation with causation

• Positive correlation without causation

• Negative correlation