Scatter Plots

This scatter plot was constructed using data on age in years (𝒙) of several Honda Civics and price in dollars (𝒚). Is there a relationship between age in years and price in dollars?

• Yes, there is a relationship.

• No, there is not a relationship.

This scatter plot was constructed using data on age in years (𝒙) of several Honda Civics and price in dollars (𝒚). Is there an outlier in the data, if so, which point is it?

• There is no outliers in the data.

• There are two outliers, at 17 and 18 years in age.

• There is one outlier, at 10 years of age.

• Outlier? What's an outlier?

Samples of students in each of the U.S. states periodically take part in a large-scale assessment called the National Assessment of Educational Progress (NAEP). The table below shows the percent of students in the northeastern states (as defined by the U.S. Census Bureau) who answered Problems 7 and 15 correctly on the 2011 eighth-grade test. How many different points will be located on a scatter plot of this data?

• 8

• 9

• 27

• 58

Answer explanation

Although there are nine states in our table, two of the states (New Hampshire and Rhode Island) share the same data point (29, 52), so there will only be 8 data points on a scatter plot.

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.

This scatter plot was constructed using data on age in years (𝒙) of several Honda Civics and price in dollars (𝒚). Describe the relationship between age in years and price in dollars.

• There is not a relationship.

• There is a positive, linear relationship.

• There is a negative, linear relationship.

• The relationship in neither positive nor negative.

The scatter plot shows the mean (average) percent of sunshine during the year and the mean amount of precipitation in inches per year for the states in the United States. Where on the graph are the states that have a large amount of precipitation and a small percent of sunshine?

• The lower right-hand corner of the scatter plot.

• The top left-hand corner of the scatter plot.

• The middle of the scatter plot.

At a dinner party, every person shakes hands with every other person present. The number of handshakes that take place for a given number of guests is represented by the scatter plot. Describe the scatter plot.

• There is no correlation with the data.

• The data has a negative relationship.

• The data has a positive, linear relationship.

• The data has a positive, non-linear relationship.

Answer explanation

The trend is increasing, but it is not linear. As the number of people increases, the number of handshakes also increases. It does not increase at a constant rate.

Which scatter plot shows a linear relationship between x and y?

• Graph A

• Graph B

• Graph C

• Graph D

What type of correlation does this graph have?

• positive

• negative

• none

• all of the above

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

• A

• B

• C

• D