1) Draw a scatter diagram of the data by hand, compute the correlation coefficient r, then determine the type of linear relation between x and y for each example:
x | 2 | 3 | 5 | 6 | 6 |
y | 10 |
9 |
7 | 4 | 2 |
b)
Height (inches) | Head Circumference (inches) |
27.75 | 17.5 |
24.5 | 17.1 |
25.5 | 17.1 |
26 | 17.3 |
25 | 16.9 |
27.75 | 17.6 |
26.5 | 17.3 |
27 | 17.5 |
26.75 | 17.3 |
26.75 | 17.5 |
27.5 | 17.5 |
c)
Total Length of American black bear (cm) | Weight of American black bear (kg) |
139.0 | 110 |
138.0 | 60 |
139.0 | 90 |
120.5 | 60 |
149.0 | 85 |
141.0 | 100 |
150.0 | 85 |
166.0 | 155 |
151.5 | 140 |
129.5 | 105 |
150.0 | 110 |
1)
correlation coefficient , r =
-0.9334
NEGATIVE, STRONG RELATIONSHIP
..........
2)
correlation coefficient , r = 0.9111
STRONG POSITIVE RELATIONSHIP
................
3)
correlation coefficient , r = 0.7031
POSITIVE AND MODERATE RELATIONSHIP
...................
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