Question

lesson 11: equation of lines
a. determine a linear model for the cherry tree data (round values to three decimal places):
\\(\hat{y} = 63.121 + 1.372x\\)
b. use the model to estimate the height of the tree when the diameter is 26.1 inches. (round result to 1 decimal place.)
height= 98.9 feet
c. use the model to estimate the height of the tree when the diameter is 15.8 inches. (round result to 1 decimal place.)
height= \boxed{} feet
enter an integer or decimal number more...
question help: \\(\boxed{}\\) written example \\(\boxed{}\\) message instructor

Explanation:

Step1: Substitute $x=15.8$ into model

$\hat{y} = 63.121 + 1.372\times15.8$

Step2: Calculate the product term

$1.372\times15.8 = 21.6776$

Step3: Sum to find total height

$\hat{y} = 63.121 + 21.6776 = 84.7986$

Step4: Round to 1 decimal place

$84.7986 \approx 84.8$

Answer:

84.8