HW - Scatterplots (Trendlines & Prediction)

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does a positive relationship in a scatterplot indicate?

Back

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

Front

What does a negative relationship in a scatterplot indicate?

Back

A negative relationship indicates that as one variable increases, the other variable tends to decrease.

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 scatterplot, showing the general direction of the data points.

Front

How can you determine if there is no relationship in a scatterplot?

Back

If the points on the scatterplot are randomly scattered without any discernible pattern, there is likely no relationship between the variables.

Front

What is correlation in the context of scatterplots?

Back

Correlation refers to the strength and direction of a linear relationship between two variables, which can be positive, negative, or none.

Front

What does it mean if a scatterplot shows a constant relationship?

Back

A constant relationship means that one variable does not change as the other variable changes; the data points remain at a fixed value.

Front

How can you use a scatterplot to make predictions?

Back

You can use the trend shown in the scatterplot, often represented by a Line of Best Fit, to estimate the value of one variable based on the value of another.

Front

What is the significance of the slope in a scatterplot?

Back

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

Front

What is an example of a positive correlation in real life?

Back

An example of a positive correlation is the relationship between study time and test scores; generally, more study time leads to higher scores.