Flashcardizz - Scatterplots and prediction equations

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 quadratic function look like?

Back

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you determine the best fitting quadratic model from data?

Back

You can determine the best fitting quadratic model by using methods such as least squares regression to minimize the difference between the observed and predicted values.

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the purpose of prediction equations in scatterplots?

Back

Prediction equations allow us to estimate the value of one variable based on the value of another variable in a scatterplot.

Front

What type of function is represented by a U-shaped graph?

Back

A U-shaped graph represents a quadratic function.

Front

What does it mean if a scatterplot shows a linear relationship?

Back

A linear relationship in a scatterplot indicates that as one variable increases, the other variable also increases or decreases at a constant rate.

Front

How can you identify an exponential function from a scatterplot?

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An exponential function shows a rapid increase or decrease and is characterized by a curve that rises or falls sharply.

Front

What is the formula for a linear function?

Back