$\"\"$

To find the quadratic model, replace $\"\"$ with $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph the linearized data :

Graph :

$\"\"$

Observe the above graph :

The regression equation of the linearized data is $\"\"$ .

The rounced equation is $\"\"$ .

$\"\"$

Consider $\"\"$ .

Replace $\"\"$ with $\"\"$ .

$\"\"$

Exponentiate on each side.

$\"\"$

Thus, the required model is $\"\"$ .

$\"\"$

Consider $\"\"$ .

Substitute $\"\"$ in above model.

$\"\"$

The height is approximately $\"\"$ inches.

$\"\"$

a. The regression equation is $\"\"$ .

b. The required model is $\"\"$

c. The height is approximately $\"\"$ inches.