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24 December, 12:29

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.

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  1. 24 December, 16:23
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    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
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