160 Variable3 160 Variable3 140 140 - 120 120 - 100 - 100- 80 80- 60 60 15 20 25 Variable1 (a) 30 20 Variable1 (b) 25 30 15 Variable2 ABCD Variable2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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(d)  

Figure 2.85(a) shows the same scatterplot with a third variable included. Is the new variable categorical or quantitative? If categorical, how many categories? If quantitative, estimate the range.
e)  
In Figure 2.85(a), if we only consider cases in Group A, does the association between Variable1 and Variable2 appear to be positive or negative? How about in Group B? Group C? Group D?
(f)  
Figure 2.85(b) shows the same scatterplot as Figure 2.85(a) with regression lines added within each of the four groups. Does the regression line for Group A show a positive or negative association? How about Group B? Group C? Group D?
(g)  
What happens to the direction of association shown in Figure 2.84 when we add the additional information contained in Variable3 as in Figure 2.85? (This is an example of Simpson's Paradox for quantitative variables.)
160
Variable3
160
Variable3
140
140 -
120
120 -
100 -
100-
80
80-
60
60
15
20
25
Variable1
(a)
30
20
Variable1
(b)
25
30
15
Variable2
ABCD
Variable2
Transcribed Image Text:160 Variable3 160 Variable3 140 140 - 120 120 - 100 - 100- 80 80- 60 60 15 20 25 Variable1 (a) 30 20 Variable1 (b) 25 30 15 Variable2 ABCD Variable2
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