Unit 7 Investigating Data STUDY GUIDE HW

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean for data to be modeled by a quadratic function?

Back

It means that the relationship between the variables can be represented by a parabolic curve, indicating that the rate of change is not constant.

Front

What is the maximum value in a quadratic function?

Back

The maximum value is the highest point on the graph of the quadratic function, occurring at the vertex if the parabola opens downwards.

Front

What is a correlation coefficient?

Back

A correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of r = 0.003 indicate?

Back

It indicates no correlation between the two variables, meaning there is no linear relationship.

Front

What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest; if there is an even number of observations, it is the average of the two middle values.

Front

What is a strong positive correlation?

Back

A strong positive correlation means that as one variable increases, the other variable also tends to increase, and the points on a scatter plot are closely clustered around a line.

Front

What is causation in statistics?

Back

Causation indicates that one event is the result of the occurrence of another event; it implies a direct cause-and-effect relationship.

Front

What is the difference between correlation and causation?

Back

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

Front

What does it mean if data shows a strong negative correlation?

Back

It means that as one variable increases, the other variable tends to decrease, and the points on a scatter plot are closely clustered around a downward sloping line.