Scatter Plots and Line of Best Fit

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional axis.

Front

What does the slope of a line in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What does the y-intercept of a linear equation represent?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

What is the purpose of a line of best fit?

Back

A line of best fit is used to summarize the relationship between variables in a scatter plot and to make predictions.

Front

How do you determine if a correlation is positive?

Back

A positive correlation exists when an increase in one variable corresponds to an increase in another variable.

Front

How do you determine if a correlation is negative?

Back

A negative correlation exists when an increase in one variable corresponds to a decrease in another variable.

Front

What does it mean if there is no correlation between two variables?

Back

No correlation means that there is no predictable relationship between the two variables.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot and the line of best fit to estimate the value of one variable based on the value of another.

Front

What is the formula for a linear equation in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an example of a real-world situation that can be modeled with a scatter plot?

Back

The relationship between hours studied and test scores can be modeled with a scatter plot.