For children between the ages of 18 months and 29 months, there is approximately a linear relationship between height and age. the relationship can be represented by ŷ = 63.80 + 0.61x where y represents height (in centimeters) and x represents age (in months). joseph is 23.5 months old and is 80 centimeters tall. what is joseph's residual? a.78.135 b.112.600 c.5.865 d.1.865 e.-32.600 f) none of the above

 Joseph's residual is 1.86 (option d).

Step-by-step explanation:

Hi, to answer this question we have to replace the variable "x" for Joseph’s age (23.5 months) in the equation given:

y = 63.80 + 0.61x.

y = 63.80 + 0.61 (23.5)

y = 63.80 + 14.335 = 78.135

Now, we subtract the amount obtained to Joseph's height ( 80 centimeters).

Mathematically speaking:

80 - 78.135 = 1.865  

So, Joseph’s residual is 1.86 (option d).

a. is correct