Respuesta :
Answer:
Option (c) increase by 5 pounds
Step-by-step explanation:
Data provided in the question:
The regression analysis between weight (y in pounds) and height (x in inches)
⇒ y = 120 + 5x
now,
on differentiating the above equation, we get
dy = 0 + 5dx
here,
dy is the change in weight
dx is the change in height
thus,
for, increase in height of 1 inch i.e dx = 1
we get
dy = 5(1)
or
dy = 5 pounds
here, positive value means increase in weight
therefore,
the correct answer is option (c) increase by 5 pounds
If the height is increased by 1 inch, the weight, on average, is increased by 5 pounds.
Thus, the correct option is c.
Given
A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least-squares line: y = 120 + 5x.
This implies that If the height is increased by 1 inch, the weight, on average, is expected to;
What is differentiation?
The instantaneous rate of change in function is based on one of its variables.
The given equation is;
y = 120 + 5x
On differentiating the above equation with respect to x
[tex]\rm y = 120 + 5x\\\\\dfrac{dy}{dx}=0+5\\\\\dfrac{dy}{dx}=5[/tex]
Hence, If the height is increased by 1 inch, the weight, on average, is increased by 5 pounds.
To know more about Differentiation click the link given below.
https://brainly.com/question/16942356
