Scatter Plots and Lines 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 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, showing the overall direction of the relationship between the variables.

Front

What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable, resulting in a rising trend in a scatter plot.

Front

What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable, resulting in a falling trend in a scatter plot.

Front

What does 'no correlation' mean?

Back

No correlation means there is no discernible relationship between the two variables, and the data points do not show any clear trend.

Front

How do you determine the line of best fit?

Back

The line of best fit is determined by finding a line that minimizes the distance between itself and all the data points in the scatter plot.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

The slope-intercept equation is y = 3x + 6.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the two variables.