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 variables by displaying data points on a two-dimensional grid.

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

How do you determine the slope of a line in a linear equation?

Back

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

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 tends to increase.

Front

What does a negative correlation in a scatter plot indicate?

Back

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

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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 0.

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 is the significance of the slope in a real-world context?

Back

The slope can represent a rate of change, such as cost per mile in a rental truck scenario.

Front

What does it mean if a scatter plot shows no correlation?

Back

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