a) For every additional inch in height, students weigh, on average, [a] pounds more. b) For a given height and number of siblings, female students weigh [b] pounds less. c) For every additional sibling, the weight of students increases by [c] pounds. d) The regression explains [d] percent of the variation in student weight.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Please fill out the blank a-d
In the process of collecting weight and height data from 29 female and 81 male students at your university, you also asked the students for the
number of siblings they have. Although it was not quite clear to you initially what you would use that variable for, you construct a new theory that
suggests that children who have more siblings come from poorer families and will have to share the food on the table. Although a friend tells
you that this theory does not pass the "straight-face" test, you decide to hypothesize that peers with many siblings will weigh less, on average,
for a given height. In addition, you believe that the muscle/fat tissue composition of male bodies suggests that females will weigh less, on
average, for a given height. To test these theories, you perform the following regression:
Studenti = -229.92-6.52 x Female + 0.51 × Sibs+ 5.58 x 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. Hint:
write your answer in two decimal places for question a-c, and an integer for d).
a) For every additional inch in height, students weigh, on average, [a] pounds more.
b) For a given height and number of siblings, female students weigh [b] pounds less.
c) For every additional sibling, the weight of students increases by [c] pounds.
d) The regression explains [d] percent of the variation in student weight.
Transcribed Image Text:In the process of collecting weight and height data from 29 female and 81 male students at your university, you also asked the students for the number of siblings they have. Although it was not quite clear to you initially what you would use that variable for, you construct a new theory that suggests that children who have more siblings come from poorer families and will have to share the food on the table. Although a friend tells you that this theory does not pass the "straight-face" test, you decide to hypothesize that peers with many siblings will weigh less, on average, for a given height. In addition, you believe that the muscle/fat tissue composition of male bodies suggests that females will weigh less, on average, for a given height. To test these theories, you perform the following regression: Studenti = -229.92-6.52 x Female + 0.51 × Sibs+ 5.58 x 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. Hint: write your answer in two decimal places for question a-c, and an integer for d). a) For every additional inch in height, students weigh, on average, [a] pounds more. b) For a given height and number of siblings, female students weigh [b] pounds less. c) For every additional sibling, the weight of students increases by [c] pounds. d) The regression explains [d] percent of the variation in student weight.
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