Functions and Scatterplots Flashcard

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 grid.

Front

What does a positive linear association in a scatter plot indicate?

Back

A positive linear association indicates that as one variable increases, the other variable also increases.

Front

What does a negative linear association in a scatter plot indicate?

Back

A negative linear association indicates that as one variable increases, the other variable decreases.

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a set of values is a function?

Back

You can determine if a set of values is a function by checking if any x-value is repeated with different y-values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the meaning of 'independent variable' in a function?

Back

The independent variable is the input value (often x) that can be changed freely.

Front

What is the meaning of 'dependent variable' in a function?

Back

The dependent variable is the output value (often y) that depends on the independent variable.

Front

What does it mean if a scatter plot shows no association?

Back

No association means there is no discernible relationship between the two variables; the data points are scattered randomly.

Front

What is the formula to find the slope of a line in a scatter plot?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) using two points (x1, y1) and (x2, y2) on the line.