Scatterplots and Trendlines

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a trendline represent in a scatterplot?

Back

A trendline represents the general direction or pattern of the data points in a scatterplot, indicating the relationship between the variables.

Front

What is the purpose of a line of best fit?

Back

The purpose of a line of best fit is to summarize the relationship between variables and to make predictions based on the data.

Front

How can you determine if a relation is a function from a scatterplot?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value), which can be checked using the vertical line test.

Front

What does a negative association in a scatterplot indicate?

Back

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

Front

What is the significance of the slope in a trendline?

Back

The slope of a trendline indicates the rate of change between the two variables; a positive slope means both variables increase together, while a negative slope means one variable decreases as the other increases.

Front

How can you use a trendline to make predictions?

Back

You can use a trendline to make predictions by extending the line to estimate the value of one variable based on the value of the other.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

What does it mean if a scatterplot has no clear trend?

Back

If a scatterplot has no clear trend, it suggests that there is no significant relationship between the two variables.

Front

What is the formula for calculating the slope of a line?

Back

The formula for calculating the slope (m) of a line is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.