Scatter Plots and Representing Data

A new smartphone game deducts points from your account when you purchase tokens within the game. If you purchase a large number of tokens at one time, the game deducts fewer points from your account overall. The scatter plot below displays data for eight users' accounts. The relationship between the number of tokens purchased is displayed on the x-axis and the number of points deducted is displayed on the y-axis. Which of the following statements correctly describe the scatter plot shown? Select ALL that apply.

• There are no outliers.

• The scatter plot shows a linear association.

• The scatter plot shows a positive association.

• The scatter plot shows no association.

• The scatter plot show a negative association.

The scatter plot shows the age and sale price of fifteen used motorcycles. Describe the association shown in the scatter plot. Fill in the blanks in order with the correct choices:

The scatter plot shows ______________________ association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle _____________________ .

• a positive, increases

• a positive, decreases

• a negative, increases

• a negative, decreases

A scatter plot for calories burned and minutes of exercise is drawn. Observe the graph carefully and identify the outliers present.

• (140,150)

• (150,140)

• (180,450)

• None of these

In the scatter plot for calories burned and minutes of exercise (the same one from question six), what is the context of the outliers present?

• The person who exercised for 140 minutes burned 150 calories.

• The person who exercised for 150 minutes burned 140 calories.

• The person who exercised for 180 minutes burned 450 calories.

• Not applicable - there is no outlier.

Which of these most closely approximates a line of best fit for the data in the scatter plot?

• 
• 
• 
• 

A graph is drawn by a student representing number of people on the x−axis and hours worked per week on the y−axis. Which of the following options represents the association shown by this graph.

• Weak and non linear

• Negative and Non linear

• Weak and negative

• No association

The scatter plot was constructed using data on length in inches (𝒙) of several alligators and weight in pounds (𝒚). Check each selection that represents the relationship between weight and length for these alligators.

• There appears to be a positive relationship between length and weight, but the relationship is not linear.

• There are three observations that stand out as outliers.

• There are three observations that stand out as outliers.

• Without the outliers, the relationship between lenth and weight appears to be linear.

The scatter plot representing the percent correct of stuents taking the NAEP is shown. Select each true statment in regards to to the scatter plot.

• The states represented by the points in the lower left corner of the scatter plot did not to as well on Questions 7 and 15 as the other states.

• There is one state that did better than all of the other states on both questions.

• There is no correlation for the scores on questions 7 and 15.

• There appears to be a positive correlation, since students who did poorly on one question, typically did poorly on the other.

The following scatterplot was based on data of size in square feet (x) of several houses and price in dollars (y).

Is there a relationship between the two variables?

• There appears to be a negative linear relationship.

• There appears to be a positive linear relationship.

• There does not appear to be any linear relationship.

• There appears to be a non-linear relationship.

Does there appear to be an outlier in the data?

• Yes, the top, right data point could be considered an outlier.

• No, there is no outlier in the data.

• Yes, the bottom left data point appears to be an outlier.

• There appears to be a non-linear relationship.