In the model lnh = -1.2 + 1.4(ln c), if a tree has a circumference of 60 inches, what is the height estimate of the tree according to this model?

To estimate the height of the tree using the provided model, we start with the equation given:

( lnh = -1.2 + 1.4(ln c) )

Here, ( h ) represents the height of the tree and ( c ) represents the circumference. To find the height estimate for a tree with a circumference of 60 inches, we first need to calculate ( ln c ):

1. Calculate ( ln(60) ). This is approximately ( 4.094 ) (using a scientific calculator).

2. Substitute this value into the model:

( lnh = -1.2 + 1.4(4.094) )

3. Perform the multiplication:

( 1.4 \times 4.094 \approx 5.731 )

4. Now, add this result to (-1.2):

( lnh \approx -1.2 + 5.731 = 4.531 )

5. To find ( h ), we must take the exponential of both sides:

( h = e^{4.531} ), which is approximately ( 93 ) inches.

Thus, the correct estimate