Question

use graph b 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 it would be about 60 degrees at 6 oclock in the morning?

Explanation:

Step1: Plotting points

On the given graph, for each pair (x,y) in the table, find the x - value on the horizontal axis (number of hours past midnight) and the y - value on the vertical axis (outside temperature) and mark the point. For example, for the pair (8,70), find 8 on the x - axis and 70 on the y - axis and mark the point.

Step2: Analyzing association

As the number of hours past midnight (x) increases, the temperature (y) does not follow a straight - line pattern. Also, initially the temperature increases and then decreases, so it has a non - linear and negative association. The points do not show a consistent upward or positive trend.

Step3: Identifying clusters/outliers

There are no clear clusters (groups of points close together). The point (16,20) seems to be an outlier as it is far from the general pattern of the other points.

Step4: Making prediction

The data points range from 8 to 20 hours past midnight. 6 o'clock in the morning is 6 hours past midnight which is outside the range of the data. So, it is not reasonable to make a prediction for 6 hours past midnight based on this scatter - plot.

Answer:

1. Points should be plotted on the graph as per the (x,y) pairs in the table.
2. Nonlinear, Negative Association
3. Yes, the outlier is at (16,20)
4. No