Scatter Plots and Lines of Best Fit - practice

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 represents the trend of the data points in a scatter plot, indicating the general direction in which the data points are scattered.

Front

How do you determine the slope of a line in the equation y = mx + b?

Back

The slope (m) is determined by the change in y divided by the change in x (rise over run) between two points on the line.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How can you find the equation of the line of best fit using two points?

Back

Select two points from the scatter plot, calculate the slope using the formula (y2 - y1) / (x2 - x1), and then use the point-slope form to find the equation.

Front

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

Back

The purpose of using a line of best fit is to make predictions about one variable based on the value of another variable.

Front

What does a positive slope indicate in a scatter plot?

Back

A positive slope indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative slope indicate in a scatter plot?

Back

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

Front

What is the correlation coefficient?

Back

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

Front

What does it mean if the correlation coefficient is close to 1?

Back

If the correlation coefficient is close to 1, it indicates a strong positive linear relationship between the two variables.