A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y^i = 120 + 5x. This implies that If the height is increased by 1 inch, the weight, on average, is expected to: a. increase by 1 pound. b. decrease by 1 pound. c. increase by 5 pounds. d. increase by 24 pounds.

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