INTERPRETING CLUSTER AND OUTLIER FROM SCATTER PLOT WORKSHEET

Problem 1 :

A scientist gathers information about the eruptions of Old Faithful, a geyser in Yellowstone National Park. She uses the data to create a scatter plot. The data show the length of time between eruptions (interval) and how long the eruption lasts (duration).

1)  Describe any clusters you see in the scatter plot.

2) What do the clusters tell you about eruptions of Old Faithful?

3)  Describe any outliers you see in the scatter plot.

4)  Suppose the geyser erupts for 2.2 minutes after a 75-minute interval. Would this point lie in one of the clusters? Would it be an outlier? Explain your answer.

5)  Suppose the geyser erupts after 80 minute interval. Give a range of possible duration times for which the point on the scatter plot would not be considered an outlier. Give your reasoning.

Solution

Problem 2 :

The scatter plot shows the basketball shooting results for 14 players. Describe any clusters you see in the scatter plot. Identify any outliers.

Solution

Problem 3 :

1) Does this scatter plot show a positive association, negative association or no association. Explain why ?

2) Is there an outlier in this data set, if so approximately how old is the outlier and about how many minutes does he or she study per day ?

3) Is this association linear or non linear ?

4)  What can you say about this relationship between your age and amount that you study ?

Solution

Problem 4 :

1) Does this scatter plot show a positive association, negative or no association ?

2) Is there an outlier in this data set, if so approximately how old is the outlier and about how many minutes does he or she study per day ?

3) Is this association linear or non linear ?

Solution