Scatter Plots (finding 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 represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the equation of a line of best fit?

Back

The equation of a line of best fit can be determined using statistical methods such as linear regression, which calculates the slope and y-intercept based on the data points.

Front

What is the slope of a line in a scatter plot?

Back

The slope of a line in a scatter plot indicates the rate of change between the two variables; a positive slope means that as one variable increases, the other also increases.

Front

What does a negative slope indicate in a scatter plot?

Back

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

Front

What is correlation in the context of scatter plots?

Back

Correlation refers to the strength and direction of a relationship between two variables, which can be positive, negative, or none.

Front

What does it mean if the points in a scatter plot are closely clustered around the line of best fit?

Back

If the points are closely clustered around the line of best fit, it indicates a strong correlation between the two variables.

Front

What is the formula for calculating the slope (m) of a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the y-intercept in the context of a line of best fit?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the line on the y-axis.

Front

How can you use a line of best fit to make predictions?

Back

You can use the line of best fit to make predictions by substituting a value of x into the equation of the line to find the corresponding value of y.