Question

plot the data in the tables below to create scatterplots. then answer the questions using the scatterplots you created. use graph a to answer the following questions. 1. plot the points from the table. 2. check the box next to the term(s) that describe this scatterplot (there may be more than one answer) linear nonlinear positive association negative association no association 3. does this scatterplot contain any clusters or outliers? if yes, where? 4. would it be reasonable to predict that there would be about 14 gallons left in this gas tank after youve driven for 500 miles? explain.

Explanation:

Step1: Plotting points

On the given graph, for each pair (x,y) in the table (where x is distance traveled in miles and y is gas remaining in gallons), mark the corresponding point. For example, for the pair (50,18), find 50 on the x - axis and 18 on the y - axis and mark the intersection point.

Step2: Analyzing association

As the distance traveled (x - value) increases, the gas remaining in the tank (y - value) decreases. So, the scatter - plot has a negative association. Also, the points seem to roughly follow a straight - line pattern, so it is linear.

Step3: Checking for clusters and outliers

There are no points that are far away from the general pattern of points (no outliers), and no group of points that are closely packed together (no clusters).

Step4: Making a prediction

The scatter - plot shows a linear and negative association. Extending the trend, as the distance increases, the gas remaining decreases. When x = 500, based on the trend of the line formed by the points, it would be reasonable to predict that there would be around 14 gallons left. The points show a steady decrease in gas remaining as distance traveled increases.

Answer:

1. Points are plotted on the graph as per the table values.
2. Linear, Negative Association
3. No
4. Yes, because the scatter - plot shows a linear and negative association, and by extending the trend of the points, it is reasonable to predict around 14 gallons left when 500 miles are driven.