4.5 Scatter Plots and Correlation

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 indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

Back

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

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no discernible relationship between the two variables; changes in one variable do not predict changes in the other.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

Front

How do you find the slope of a line in a scatter plot?

Back

The slope is calculated by taking the change in y (rise) divided by the change in x (run) between two points on the line.

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change between the two variables; for example, it can indicate how much one variable increases or decreases for each unit increase in the other variable.

Front

In the equation f(x) = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation f(x) = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

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.