1) You perform the following regression: Studentw = –229.92 – 6.52 × Female + 0.
ID: 2934101 • Letter: 1
Question
1) You perform the following regression:
Studentw = –229.92 – 6.52 × Female + 0.51 × Sibs+ 5.58 × Height, R2=0.50, SER = 21.08
where Studentw is in pounds, Height is in inches, Female takes a value of 1 for females and is 0 otherwise, Sibs is the number of siblings.
(a) How does height affect weight (i.e., what is the expected effect on weight of a one inch increase in height)? For a given height and a given number of siblings what is the difference between the weights of females and males? Who weight more?
(b) What is the regression's weight prediction for a female who is 63in. tall, and who has one sibling?
Explanation / Answer
a) Here the coefficient of the independent variable Height is given as 5.58 which means that for a unit increase in the height of students, there will be 5.58 units increase in the weight of the students.
As the coefficient of the binary independent variable Female here is equal to -6.52, this means that for a given height the females are expected to have a height of 6.52 units less than the weight of the males with the exact same height.
Therefore males weigh more ( because the coefficient of female is negative )
b) For a female who is 63 inches tall, and who has one sibling, we get the independent variable values as:
Female = 1, Sibs = 1 and Height = 63.
Therefore we compute the weight using the regression equation as:
Studentw = –229.92 – 6.52 × Female + 0.51 × Sibs+ 5.58 × Height
Studentw = –229.92 – 6.52*1 + 0.51*1+ 5.58*63 = 115.61 pounds,
Therefore 115.61 is the expected weight of the given female
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