Trend Lines Correlation

Front

What is a trend line in a scatter plot?

Back

A trend line is a straight or curved line that represents the general direction of a set of data points in a scatter plot.

Front

What does a negative linear association indicate in a scatter plot?

Back

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

Front

What does a positive correlation mean in the context of a scatter plot?

Back

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

Front

What is the purpose of a line of best fit?

Back

The line of best fit is used to summarize the relationship between variables in a scatter plot and to make predictions.

Front

How can you identify a nonlinear association in a scatter plot?

Back

A nonlinear association can be identified when the data points do not follow a straight line pattern.

Front

What is the significance of 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 indicates a positive relationship, while a negative slope indicates a negative relationship.

Front

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

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 difference between correlation and causation?

Back

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

Front

How can outliers affect the trend line in a scatter plot?

Back

Outliers can skew the trend line, making it less representative of the overall data set.

Front

What is the role of scatter plots in data analysis?

Back

Scatter plots are used to visualize the relationship between two quantitative variables and to identify patterns, trends, and correlations.