Bivariate Data

How can you use a line of best fit to make predictions about data?

• By finding the average of all data points

• By drawing it through the highest and lowest points

• By using it to estimate values for one variable given values of the other

• By counting the number of points that touch the line

What is the primary purpose of analyzing relationships between variables in bivariate data?

• To create graphs

• To understand how changes in one variable affect another

• To collect more data

• To prove that the variables are unrelated

Which of the following scenarios is an example of using a scatter plot for making predictions?

• Calculating the exact value of a data point

• Estimating the sales based on advertising spend

• Counting the number of data points above the line of best fit

• Identifying the color of data points

How can you use a scatter plot to make predictions about future data points?

• By drawing a line of best fit and extending it

• By counting the number of points

• By identifying the outliers

• By changing the scale of the axes

What does a scatter plot with points closely following a line going downwards from left to right indicate?

• A strong positive correlation

• A strong negative correlation

• No correlation

• A weak negative correlation

The scatter plot shows the relationship between the number of chapters and the total number of pages for several novels.  Use the trend line to predict how many chapters would be in a novel with 180 pages that Olivia is planning to read for her literature class. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 

• A. 50 min

• B. 80 min

• C. 45 min

• D. 60 min

When plotting the number of hours Ethan studies each day against his test scores, a scatter plot shows a downward trend. What does this indicate about the relationship between Ethan's study hours and his test scores?

• The variables have a positive correlation.

• The variables have a negative correlation.

• The variables are unrelated.

• The variables have a constant correlation.

Imagine Grace and Olivia are analyzing the relationship between the number of hours spent studying and the scores on their science tests. They plot their study hours and test scores on a scatter plot and notice the data points are randomly scattered with no apparent pattern. What does this suggest about the relationship between study hours and test scores?

• They have a strong positive correlation.

• They have a strong negative correlation.

• They have no correlation.

• They are perfectly correlated.

If the correlation coefficient between the number of hours Ava studies and her exam scores is -0.8, what does this indicate about their relationship?

• They have a strong positive correlation.

• They have a moderate negative correlation.

• They have a strong negative correlation.

• They have no correlation.