Scatter Plots 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 a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

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

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, showing the overall trend of the data.

Front

How do you determine the slope of a line in a scatter plot?

Back

The slope is determined by the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables being analyzed.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, indicating where the line crosses the y-axis.

Front

How can you use a scatter plot to make predictions?

Back

You can use the line of best fit to estimate the value of one variable based on the value of another variable.

Front

What does it mean if there is no correlation in a scatter plot?

Back

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

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.