In Question, use linear regression to find the requested linear model.
The table shows how the circumference (in inches) of a white oak tree (the Illinois state tree) is related to the approximate age of the tree (in years).*
Circumference (inches) | Approximate Age (years) |
5 | 8 |
10 | 16 |
20 | 32 |
30 | 48 |
40 | 64 |
50 | 80 |
60 | 95 |
80 | 127 |
100 | 159 |
(a) Find a linear model that gives the age y in terms of the circumference x.
(b) Find the approximate age of trees whose circumferences are 56 in and 68 in.
(c) What is the diameter of a tree that is 151 years old?
*The table assumes that the circumference is measured 4.5 ft above ground level.
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