WARM-UP: 3.5 Scatterplots and Line of Best Fit

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional axis.

Front

What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend of the data points in a scatterplot, indicating the general direction of the relationship between the variables.

Front

How do you determine the slope of a line?

Back

The slope of a line is determined by the change in the y-value divided by the change in the x-value (rise over run).

Front

What is the y-intercept in a linear equation?

Back

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

Front

What does a positive slope indicate about the relationship between two variables?

Back

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

Front

What does a negative slope indicate about the relationship between two variables?

Back

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

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

How can you tell if a scatterplot has a strong correlation?

Back

A scatterplot has a strong correlation if the data points are closely clustered around the line of best fit.

Front

What does it mean if a scatterplot shows no correlation?

Back

If a scatterplot shows no correlation, it means there is no apparent relationship between the two variables.

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.