As you probably know that many trees are shorter or stunted with increasing altitude. We want to test this hypothesis using Virginia pine trees. We go out and measure the following 13 tree heights at various altitudes (all units in feet): Tree 1 2 3 4 5 6 7 8 9 10 11 12 13 altitude 500 750 1000 1250 1500 1750 2000 2250 2500 2750 3000 3250 3500 height 116.1 108.5 108.1 108.8 105.7 105.3 101.7 96 98.1 92.9 86.6 82.3 86.9 Some possibly useful statistics (x = altitude, y = height) = -116,110 = 11,375,000 = 1,271.8 = 2.81 a. Calculate r^2 of question 7 in part two (the altitude and height question). b. Calculate the value for the residual of the first tree from the altitude/height data given in question 7.
As you probably know that many trees are shorter or stunted with increasing altitude. We want to test this hypothesis using Virginia pine trees. We go out and measure the following 13 tree heights at various altitudes (all units in feet):
|
Tree |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
|
altitude |
500 |
750 |
1000 |
1250 |
1500 |
1750 |
2000 |
2250 |
2500 |
2750 |
3000 |
3250 |
3500 |
|
height |
116.1 |
108.5 |
108.1 |
108.8 |
105.7 |
105.3 |
101.7 |
96 |
98.1 |
92.9 |
86.6 |
82.3 |
86.9 |
Some possibly useful statistics (x = altitude, y = height)
= -116,110 = 11,375,000 = 1,271.8 = 2.81
a. Calculate r^2 of question 7 in part two (the altitude and height question).
b. Calculate the value for the residual of the first tree from the altitude/height data given in question 7.
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