#4.4 Scatter Plots and Lines of Fit

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 grid.

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 between two variables?

Back

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

Front

What is a line of fit?

Back

A line of fit is a straight line that best represents the data on a scatter plot, showing the trend of the data.

Front

How do you determine the line of fit for a scatter plot?

Back

The line of fit can be determined using methods such as least squares regression, which minimizes the distance between the data points and the line.

Front

What is the correlation coefficient?

Back

The correlation coefficient is a numerical measure that indicates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of 0.9433 indicate?

Back

A correlation coefficient of 0.9433 indicates a strong positive linear relationship between the two variables.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot and the line of fit to make predictions by finding the corresponding value of one variable based on the value of the other.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that fall far from the trend of the data; they can affect the line of fit and the correlation coefficient.