Scatter Plots and Line of Best Fit

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, showing the trend of the data points.

Front

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

Back

The slope of a line of best fit is determined by the change in the y-values divided by the change in the x-values between 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, indicating the starting point of the line on the y-axis.

Front

In the equation y = mx + b, what do 'm' and 'b' represent?

Back

'm' represents the slope of the line, and 'b' represents the y-intercept.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to make predictions by extending the line to estimate the value of one variable based on the value of the other variable.

Front

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

Back

The slope indicates the rate of change between the two variables, providing insight into how one variable affects the other.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope is (y2 - y1) / (x2 - x1).

Front

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

Back

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