Scatterplots/trendlines and MIX REVIEW 4th Period

Front

What is a function in mathematics?

Back

A function is a relation where each input (domain) has exactly one output (range).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

Front

What does a positive relationship in a scatter plot indicate?

Back

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

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a Cartesian plane.

Front

What is a trendline?

Back

A trendline is a line that best represents the data points in a scatter plot, indicating the general direction of the data.

Front

What does it mean for triangles to be similar?

Back

Similar triangles have the same shape but may differ in size; their corresponding angles are equal, and their sides are in proportion.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of the image by the length of the corresponding side of the original figure.

Front

What is the purpose of using a scale factor in geometry?

Back

A scale factor is used to resize figures while maintaining their proportions and angles.

Front

What is the distance formula?

Back

The distance formula is used to determine the distance between two points (x1, y1) and (x2, y2) in a coordinate plane: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of ordered pairs in a relation?

Back

Ordered pairs (x, y) represent the relationship between two variables, where 'x' is the input and 'y' is the output.