Line of best fit - scatter plots

Front

What is a line of best fit?

Back

A 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 is calculated by taking two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What is a scatter plot?

Back

A graph that displays values for typically two variables for a set of data, using dots to represent the values.

Front

What does a positive correlation look like on a scatter plot?

Back

As one variable increases, the other variable also increases, resulting in a line that slopes upwards.

Front

What does a negative correlation look like on a scatter plot?

Back

As one variable increases, the other variable decreases, resulting in a line that slopes downwards.

Front

What does no correlation mean in a scatter plot?

Back

There is no discernible pattern or relationship between the two variables; the points are scattered randomly.

Front

How can you visually identify a line of best fit on a scatter plot?

Back

By drawing a straight line that minimizes the distance from all points to the line, ideally passing through the center of the data.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

If the slope of a line is 1/4, what does this indicate?

Back

For every 1 unit increase in x, y increases by 1/4 units.