Answer:
h = 1.88f + 32.01
Step-by-step explanation:
To find the linear equation, we first find the gradient of the linear equation from
(y₂ - y₁)/(x₂ - x₁) = m and using the values of the length of femur and overall height respectively, where x₁ = 18 inches and y₁ = 65.85 inches and x₂ = 14 inches and y₂ = 58.33 inches
So, (y₂ - y₁)/(x₂ - x₁) = m
(58.33 - 65.85)/(14 - 18) = m
-7.52/-4 = m
m = 1.88
So, to find the linear equation, we use
(y - y₁)/(x - x₁) = m where f₁ = 18 inches and h₁ = 65.85 inches
So, (y - y₁)/(x - x₁) = m
(y - 65.85)/(x - 18) = 1.88
(y - 65.85) = 1.88(x - 18)
y - 65.85 = 1.88x - 33.84
collecting like terms, we have
y = 1.88x - 33.84 + 65.85
y = 1.88x + 32.01
Given that y = h = overall height of adult male and x = f = length of femur,
h = 1.88f + 32.01
