Understanding Scatter Plots and Trend Lines

What is the primary purpose of a trend line in a scatter plot?

• To highlight the highest data point

• To separate data into two groups

• To estimate the trend and make predictions

• To connect all data points

What is bivariate data?

• Data with more than two variables

• Data that is collected over time

• Data that is unrelated

• Data that shows a relationship between two variables

What is the difference between a line of best fit and a line of regression?

• A line of best fit is always linear, while a line of regression can be non-linear

• A line of best fit is calculated manually, while a line of regression is calculated using mathematical formulas

• Both are the same and used interchangeably

• A line of regression is drawn by hand, while a line of best fit is calculated using a calculator

In the pool attendance example, what does a tightly packed data set indicate?

• No correlation

• A strong correlation

• A weak correlation

• A non-linear trend

In the context of trend lines, what does a positive correlation mean?

• As one variable increases, the other decreases

• There is no relationship between the variables

• As one variable increases, the other also increases

• The variables are unrelated

Why might a trend line not touch all data points?

• Because the line is drawn incorrectly

• Because the data is incorrect

• Because the data points are too close together

• Because it is meant to show an average trend

What type of trend line is used when the relationship is not linear?

• No trend line

• Non-linear trend line

• Linear trend line

• Exponential trend line

What does a non-linear trend line indicate?

• A perfect correlation

• A linear relationship

• A complex relationship that is not straight

• No relationship

What does it mean if there is no line in a scatter plot?

• The data is perfectly linear

• There is no correlation

• There is a strong correlation

• The data is incomplete

How can a trend line be used to make predictions?

• By connecting all data points

• By extending the line to estimate future values

• By highlighting the highest data point

• By separating data into two groups