Scatterplots, and their directions

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 two-dimensional axis.

Front

What does a positive correlation in a scatter plot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree two, typically represented by the equation y = ax² + bx + c, which graphs to a parabola.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

How can you identify a strong correlation in a scatter plot?

Back

A strong correlation is identified when the data points closely follow a clear trend line, either upward (positive) or downward (negative).

Front

What does it mean if a scatter plot has no correlation?

Back

No correlation means there is no discernible relationship between the two variables, and the data points are scattered randomly.

Front

What is the purpose of using scatter plots in data analysis?

Back

Scatter plots are used to visually assess the relationship between two variables, helping to identify trends, correlations, and outliers.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable; a steeper slope means a greater rate of change.