Scatter Plot and Line of Best 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 axis.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit 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

How do you determine the slope of the line of best fit?

Back

The slope of the line of best fit is determined by the change in the y-value divided by the change in the x-value between two points on the line.

Front

What does a positive trend in a scatter plot indicate?

Back

A positive trend indicates that as one variable increases, the other variable also increases.

Front

What does a negative trend in a scatter plot indicate?

Back

A negative trend indicates that as one variable increases, the other variable decreases.

Front

What is the purpose of making predictions using a line of best fit?

Back

The purpose is to estimate the value of one variable based on the value of another variable using the established relationship.

Front

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

Back

No correlation means there is no apparent relationship between the two variables; the data points do not follow any trend.

Front

How can you visually assess the accuracy of a line of best fit?

Back

You can assess accuracy by checking how closely the data points cluster around the line; a good fit will have points close to the line.

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 line of best fit.

Front

What is the formula for the slope of a line?

Back

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