Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does correlation mean in a scatterplot?

Back

Correlation refers to the relationship between two variables. It can be positive (both variables increase together), negative (one variable increases while the other decreases), or zero (no relationship).

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatterplot, showing the trend of the data points.

Front

How do you interpret the slope of a line in a scatterplot?

Back

The slope indicates the rate of change between the two variables. A positive slope means that as one variable increases, the other also increases, while a negative slope means that as one variable increases, the other decreases.

Front

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

Back

The y-intercept is the value of y when x is zero. It represents the starting point of the line on the y-axis.

Front

How can you use a scatterplot to make predictions?

Back

You can use the trend line (line of best fit) to estimate the value of one variable based on the value of another variable.

Front

What is the equation of a line in slope-intercept form?

Back

Front

What does a slope of -5/7 mean in a real-world context?

Back

A slope of -5/7 means that for every 7 units increase in the x variable, the y variable decreases by 5 units.

Front

How do you find the predicted value using a trend line?

Back

To find the predicted value, substitute the x value into the equation of the trend line and solve for y.