Exploring Scatter Plots and Line of Best Fit

What is a scatter plot?

• A type of pie chart that shows data distribution.

• A graph representing data using ordered pairs of values.

• A graph that shows the relationship between two variables using lines.

• A bar graph that represents data in categories.

Why is choosing an appropriate scale important when creating a scatter plot?

• To make the graph look more complex and detailed.

• To confuse the viewers with disproportionate scales.

• To use as much graph paper as possible.

• To ensure the graph fits nicely on the page.

What is the main purpose of the line of best fit?

• To accurately predict future data points.

• To best describe the overall trend of the data.

• To divide the graph into two equal halves.

• To connect all the dots in a scatter plot.

How can you tell if a line is a good line of best fit?

• All data points must be above the line.

• It must pass through every data point.

• There should be an equal number of points above and below it.

• It should only touch the highest and lowest points.

How should data points be distributed around the line of best fit?

• All data points on one side of the line.

• Evenly spaced on both sides of the line.

• Clustered at one end of the line.

• Randomly, without any specific pattern.

What does a negative correlation indicate?

• As one variable increases, the other decreases.

• There is no relationship between the variables.

• The variables are unrelated but appear in a linear pattern.

• As one variable increases, the other also increases.

What type of correlation does a scatter plot with points going in an upward direction indicate?

• Strong negative

• Strong positive

• Weak positive

• No correlation

What does it mean if a scatter plot shows no correlation?

• The variables move in opposite directions.

• The variables are perfectly aligned.

• The variables have a strong linear relationship.

• There is no discernible pattern between the variables.

Why might some data points not fit the general pattern in a scatter plot?

• They always fit the pattern.

• Because they represent a different variable.

• Due to a mistake in data collection.

• Because they are outliers.

In the context of running and weight, what would a negative slope in a scatter plot suggest?

• Running more leads to weight loss.

• Running less leads to weight loss.

• Running more causes weight gain.

• Weight has no relation to running.