HW 3.3 - Scatter Plots/Lines of Best Fit

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

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 the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all the points.

Front

How can you determine the strength of a correlation?

Back

The strength of a correlation can be determined by the correlation coefficient (r), which ranges from -1 to 1. Values closer to -1 or 1 indicate a stronger correlation.

Front

What does a correlation coefficient of r = -0.86 indicate?

Back

A correlation coefficient of r = -0.86 indicates a strong negative correlation between the two variables.

Front

What is the difference between association and causation?

Back

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

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, and changes in one do not predict changes in the other.

Front

How can outliers affect a scatter plot?

Back

Outliers can skew the results of a scatter plot, affecting the line of best fit and potentially misleading interpretations of the correlation.

Front

What is the purpose of using a line of best fit in data analysis?

Back

The line of best fit helps to summarize the relationship between variables and can be used for predictions based on the data.