Scatterplots and Lines of Best Fit

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 line of best fit represent in a scatterplot?

Back

A line of best fit is a straight line that best represents the data on a scatterplot. It shows the general direction of the data points.

Front

How can you determine if a scatterplot is linear?

Back

A scatterplot is linear if the data points form a pattern that can be approximated by a straight line.

Front

What is positive correlation in a scatterplot?

Back

Positive correlation occurs when an increase in one variable tends to be associated with an increase in another variable, resulting in an upward slope.

Front

What is negative correlation in a scatterplot?

Back

Negative correlation occurs when an increase in one variable tends to be associated with a decrease in another variable, resulting in a downward slope.

Front

What does no correlation mean in a scatterplot?

Back

No correlation means there is no apparent relationship between the two variables; the data points do not show any consistent pattern.

Front

How do you estimate values using a trend line?

Back

To estimate values, locate the temperature on the x-axis, move vertically to the trend line, and then horizontally to the y-axis to find the corresponding value.

Front

What is the purpose of using a trend line in data analysis?

Back

A trend line helps to summarize the relationship between variables and make predictions based on the data.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean if a scatterplot has a steep slope?

Back

A steep slope indicates a strong relationship between the variables, meaning that a small change in one variable results in a large change in the other.