Exploring Scatterplots and Trendlines

The video tutorial covers scatter plots, types of correlations (positive, negative, none), and how to draw and interpret trend lines for making predictions. It includes examples such as analyzing the relationship between soccer practice and math study, and predicting the number of weddings photographed based on years of experience.

What type of correlation is present when both variables increase together?

• No correlation

• Undefined correlation

• Negative correlation

• Positive correlation

Which option best describes a scatter plot with no correlation?

• Data points increase as one variable increases

• Data points form a clear line

• Data points decrease as one variable increases

• Data points are randomly distributed

What does a trend line in a scatter plot typically represent?

• Random points in the data set

• The average pattern of the data set

• The minimum values of the data set

• The maximum values of the data set

How can trend lines be used in making predictions?

• By only using the lowest data points

• By ignoring the data points

• By following the highest data points

• By estimating the middle pattern of the data

What role does the trend line play in predictions in scatter plots?

• It represents individual data points

• It is ignored in predictions

• It is used as a guide to understand data distribution

• It is used to highlight outliers

In the context of negative correlation, what happens to the second variable when the first increases?

• It becomes zero

• It also increases

• It decreases

• It remains constant

What are outliers in a scatter plot?

• Data points on the trend line

• Data points that fit well within the trend line

• Data points that do not affect the trend line

• Data points that deviate significantly from other data points

What is indicated by a downward slope in a scatter plot?

• Positive correlation

• Negative correlation

• No correlation

• Cannot be determined

How would you predict the number of weddings a photographer with seven years of experience would photograph?

• By guessing randomly

• By checking the highest data point

• By using a trend line to estimate

• By using the lowest data point

What would be a likely reason to adjust a trend line in a scatter plot?

• To make the plot aesthetically pleasing

• To focus only on the highest values

• To better fit the central pattern of the data

• To exclude all outliers