calculate and interpret the residual for the high school senior with foot length of 20 cm and a height of 160 cm

The vertical distance between a senior student with a height of 160 cm and his estimated height of 157.06 cm is 2.94 cm

Step-by-step explanation:

Given data,

Term Co eff

Constant 105.08

Foot length 2.599

Solving the problem for the given data

Frame the equation,

X = constant + foot length (foot length of 20 cm)

X=105.08+2.55 (a)

Where X denotes the predicated height

a denotes the foot length 20 cm

X=105.08+2.55 (20)

X=157.06

The residual computed is given as

Z denotes the residual component

Z=Y-X

Z=160-157.06

Z=2.94 cm

Interpretation:

The vertical distance between a senior student with a height of 160 cm and his estimated height of 157.06 cm is 2.94 cm