Scatterplots & Functions Q2 Review

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables. Each point on the graph represents an observation from the data set.

Front

How do you interpret the correlation in a scatterplot?

Back

Correlation in a scatterplot indicates the strength and direction of a relationship between two variables. A positive correlation means that as one variable increases, the other also increases. A negative correlation means that as one variable increases, the other decreases.

Front

What does a strong positive correlation look like on a scatterplot?

Back

A strong positive correlation appears as points that are closely clustered around a line that slopes upwards from left to right.

Front

What does a strong negative correlation look like on a scatterplot?

Back

A strong negative correlation appears as points that are closely clustered around a line that slopes downwards from left to right.

Front

What is the purpose of a trend line in a scatterplot?

Back

A trend line, or line of best fit, is used to summarize the relationship between the variables in a scatterplot. It helps to predict values and understand the overall direction of the data.

Front

What does it mean if there is no correlation in a scatterplot?

Back

No correlation means that there is no discernible relationship between the two variables. The points on the scatterplot are scattered randomly.

Front

How can outliers affect a scatterplot?

Back

Outliers can skew the interpretation of the data in a scatterplot. They can affect the slope of the trend line and may lead to misleading conclusions about the relationship between the variables.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

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). In a scatterplot, this means that no vertical line intersects the graph at more than one point.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create a straight line when graphed, while nonlinear functions create a curve. Linear functions have a constant rate of change, whereas nonlinear functions do not.