scatter plots and line of best fit

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship of two data sets.

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 increases.

Front

What does a negative correlation indicate in a scatter plot?

Back

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

Front

What does 'no correlation' mean in the context of scatter plots?

Back

No correlation means there is no discernible relationship between the two variables.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the value of y when x is 0.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What is the purpose of a line of best fit in a scatter plot?

Back

The line of best fit is used to summarize the relationship between the data points and to make predictions.

Front

How can you determine the slope of a line from a scatter plot?

Back

The slope can be determined by selecting two points on the line and calculating the change in y divided by the change in x.

Front

What does the y-intercept of a linear equation represent in a real-world context?

Back

The y-intercept represents the starting value or fixed cost when the independent variable is zero.

Front

If a scatter plot shows a strong positive correlation, what can be inferred about the data?

Back

It can be inferred that there is a strong relationship where increases in one variable are associated with increases in the other.