Scatter Plots and Trends Lines_AO

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables where each point represents an observation. It helps to visualize the relationship between the variables.

Front

What does a trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the relationship between the variables.

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

How do you interpret the slope of a trend line?

Back

The slope of a trend line indicates the rate of change between the two variables. A positive slope means an increase in one variable leads to an increase in the other, while a negative slope indicates the opposite.

Front

What is the formula for calculating the slope of a line?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if the slope of a trend line is zero?

Back

If the slope of a trend line is zero, it means there is no correlation between the variables; changes in one variable do not affect the other.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that differ significantly from other observations. They can affect the slope and position of the trend line, potentially skewing the analysis.

Front

How can you determine the strength of a correlation in a scatter plot?

Back

The strength of a correlation can be determined by how closely the data points cluster around the trend line. A tighter cluster indicates a stronger correlation.

Front

What is the difference between correlation and causation?

Back

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