Scatter Plots & 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 of the data points in a scatter plot, indicating the general direction of the relationship between the variables.

Front

What is correlation in the context of scatter plots?

Back

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

Front

What does a positive correlation indicate?

Back

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

Front

What does a negative correlation indicate?

Back

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

Front

What does 'no correlation' mean?

Back

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

Front

How do you determine the line of best fit visually?

Back

The line of best fit can be determined visually by drawing a line that best represents the trend of the data points, minimizing the distance from the points to the line.

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 is the formula for calculating the slope of a line?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is zero; it is where the line crosses the y-axis.