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Demystifying Regression Analysis: X and Y Together
1)
Santa has come to us because he has a problem.
It seems that his younger reindeers have been hard to
motivate, and they aren’t as knowledgeable or productive as the older reindeer.
Santa, unfortunately, has
only anecdotal information, so he has come to us to find out if there really is a relationship between age of
reindeer and complaints.
Age of Reindeer
(X)
Number of
Complaints
(Y)
1
20
1
15
3
17
3
14
4
15
5
11
5
8
5
10
7
9
10
8
2)
Create a Graph (not shown), Age of Reindeer , the independent variable on xaxis and number of
complaints is dependent variable, on yaxis.
3)
List intermediate calculations for regression equation and Pearson’s R
x
y
X
2
Y
2
xy
1
20
1
400
20
1
15
1
225
15
3
17
9
289
51
3
14
9
196
42
4
15
16
225
60
5
11
25
121
55
5
8
25
64
40
5
10
25
100
50
7
9
49
81
63
10
8
100
64
80
Total
44
127
260
1765
476
4)
Calculate the slope (b):
(
29 (
29
( 29
∑
∑
∑
∑
∑

=
N
N
Y
X

XY
slope
X
X
2
2
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 '10
 Cohn,SaulUri

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