Question

The equation is:

y(calories)= 15.91363+3.04(Price)+24.1583(Alcohol content)

The predicted calorie amounts of two bottles of beer are compared.
Bottle 1: Price = 3.58, Alcohol = X.
Bottle 2: Its predicted Calorie amount (Y) is Larger than the predicted calories of bottle 1 by 24.1583, price =3.58; Alcohol = X+Z. Find Z.

Answer 1

When Price = 3.58 and alcohol = x, then

=15.91363+3.04*3.58+24.1583x

= 26.79683+24.1583x

When Price = 3.58 and alcohol = x+z, then

=15.91363+3.04*3.58+24.1583(x+z)

= 26.79683+24.1583(x+z)

We know that,

- = 24.1583

26.79683+24.1583(x+z) - 26.79683+24.1583x = 24.1583

24.1583z = 24.1583

i.e.

z = 1

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