Scatter plots

Front

What is a scatter plot?

Back

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

Front

What does the x-intercept represent in a scatter plot?

Back

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

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate in a scatter plot?

Back

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

Front

What does a negative slope indicate in a scatter plot?

Back

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

Front

What is the formula for finding the slope between the points (8, -6) and (5, -1)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (-1 - (-6)) / (5 - 8) = 5 / -3 = -\frac{5}{3}.

Front

How can you interpret the slope of a scatter plot?

Back

The slope indicates the rate of change between the two variables; a steeper slope means a greater rate of change.

Front

What is the significance of the y-intercept in a scatter plot?

Back

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

Front

How do you find the y-value for a given x-value using a scatter plot?

Back

You can find the y-value by locating the corresponding point on the scatter plot for the given x-value.

Front

What does it mean if the points in a scatter plot are closely clustered together?

Back

If the points are closely clustered, it indicates a strong correlation between the two variables.