8.5D Trend Lines and Linear Relationships

Front

What is a scatterplot?

Back

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

Front

What does a trend line represent in a scatterplot?

Back

A trend line is a straight line that best represents the data points in a scatterplot, indicating the general direction of the relationship between the variables.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot to make predictions by finding the trend line and using it to estimate the value of one variable based on the value of another.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What does it mean if the points in a scatterplot are closely clustered around a trend line?

Back

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

Front

What is the difference between positive and negative correlation in a scatterplot?

Back

Positive correlation means that as one variable increases, the other variable also increases. Negative correlation means that as one variable increases, the other variable decreases.

Front

What is the purpose of using trend lines in data analysis?

Back

Trend lines help to summarize the relationship between variables, making it easier to identify patterns and make predictions.

Front

How do you determine the best fit line for a scatterplot?

Back

The best fit line is determined by minimizing the distance between the line and all the data points, often using methods like least squares.

Front

What is interpolation in the context of scatterplots?

Back

Interpolation is the process of estimating a value within the range of the data points in a scatterplot.

Front

What is extrapolation in the context of scatterplots?

Back

Extrapolation is the process of estimating a value outside the range of the data points in a scatterplot.