Hosmer and Lemeshow cited a study conducted at Baystate Medical Center in Springfield, Massachusetts, to identify factors that affect the risk of giving birth to a low-birth-weight baby. Low birth weight is defined as weighing fewer than 2,500 grams (5 pounds 8 ounces) at birth. Low- birth-weight babies have an increased risk of health problems, disability, and death. Data were collected on 189 women, 59 of whom had low-birth-weight babies and 130 of whom had normal-birth-weight babies. [Hosmer, D. W., & Lemeshow, S. (2000). Applied Logistic Regression, 2nd ed. Hoboken: Wiley. 25] Suppose you use a subsample of these data to estimate a least-squares regression line predicting the baby's birth weight (in from tho mom's ago and the mom's
Hosmer and Lemeshow cited a study conducted at Baystate Medical Center in Springfield, Massachusetts, to identify factors that affect the risk of giving birth to a low-birth-weight baby. Low birth weight is defined as weighing fewer than 2,500 grams (5 pounds 8 ounces) at birth. Low- birth-weight babies have an increased risk of health problems, disability, and death. Data were collected on 189 women, 59 of whom had low-birth-weight babies and 130 of whom had normal-birth-weight babies. [Hosmer, D. W., & Lemeshow, S. (2000). Applied Logistic Regression, 2nd ed. Hoboken: Wiley. 25] Suppose you use a subsample of these data to estimate a least-squares regression line predicting the baby's birth weight (in from tho mom's ago and the mom's
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![Hosmer and Lemeshow cited a study
conducted at Baystate Medical Center in
Springfield, Massachusetts, to identify
factors that affect the risk of giving birth to
a low-birth-weight baby. Low birth weight
is defined as weighing fewer than 2,500
grams (5 pounds 8 ounces) at birth. Low-
birth-weight babies have an increased risk
of health problems, disability, and death.
Data were collected on 189 women, 59 of
whom had low-birth-weight babies and
130 of whom had normal-birth-weight
babies. [Hosmer, D. W., & Lemeshow, S.
(2000). Applied Logistic Regression, 2nd ed.
Hoboken: Wiley. 25]
Suppose you use a subsample of these
data to estimate a least-squares regression
line predicting the baby's birth weight (in
grams) from the mom's age and the mom's
prepregnancy weight (in pounds). In the
subsample, the mean birth weight is 2884
grams, with a standard deviation of 32.13;
the mean of the mom's age is 27.14 years,
with a standard deviation of 5.37; and the
mean of mom's prepregnancy weight is
149.86 pounds, with a standard deviation of
31.36. The zero-order (Pearson) correlation
between the baby's birth weight and the
mom's age is -0.60, between the baby's
birth weight and the mom's prepregnancy
weight is 0.32, and between the mom's age
and the mom's prepregnancy weight is
0.74.
You will use the given values to compute
the partial slopes of the regression
equation. Before you begin, complete the
following table using the values provided.
Call the mom's age X1 and the mom's
prepregnancy weight X2.
Relevant
Information
Needed for
Computing
Partial Slopes
for a Multiple](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ee5a0e2-c1d3-4bc7-928d-17c7fc986233%2Ffbe01a16-ed5c-4032-8e97-674b3465753b%2F5blq2o5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Hosmer and Lemeshow cited a study
conducted at Baystate Medical Center in
Springfield, Massachusetts, to identify
factors that affect the risk of giving birth to
a low-birth-weight baby. Low birth weight
is defined as weighing fewer than 2,500
grams (5 pounds 8 ounces) at birth. Low-
birth-weight babies have an increased risk
of health problems, disability, and death.
Data were collected on 189 women, 59 of
whom had low-birth-weight babies and
130 of whom had normal-birth-weight
babies. [Hosmer, D. W., & Lemeshow, S.
(2000). Applied Logistic Regression, 2nd ed.
Hoboken: Wiley. 25]
Suppose you use a subsample of these
data to estimate a least-squares regression
line predicting the baby's birth weight (in
grams) from the mom's age and the mom's
prepregnancy weight (in pounds). In the
subsample, the mean birth weight is 2884
grams, with a standard deviation of 32.13;
the mean of the mom's age is 27.14 years,
with a standard deviation of 5.37; and the
mean of mom's prepregnancy weight is
149.86 pounds, with a standard deviation of
31.36. The zero-order (Pearson) correlation
between the baby's birth weight and the
mom's age is -0.60, between the baby's
birth weight and the mom's prepregnancy
weight is 0.32, and between the mom's age
and the mom's prepregnancy weight is
0.74.
You will use the given values to compute
the partial slopes of the regression
equation. Before you begin, complete the
following table using the values provided.
Call the mom's age X1 and the mom's
prepregnancy weight X2.
Relevant
Information
Needed for
Computing
Partial Slopes
for a Multiple
Transcribed Image Text:Regression
Equation
Baby's Birth
Weight(grams) Age(years) Prepregnanc
Mom's
Mom's
Weight(pounc
Y = 2,884.00
X1 =
X2 = 149.86
27.14
sy = 32.13
s1 = 5.37
s2 = 31.36
Zero-Order Correlations
rylryl = -0.60
ry2ry2 = -0.32
r12r12 = 0.74
Compute the partial slopes and the
intercept for the regression equation to
predict the baby's birth weight (Y) from the
mom's age (X1X1) and the mom's
prepregnancy weight (X2X2). Using your
calculations, complete the following
estimated regression equation:
(Equation A) Y = __-_ + ( ) X1 + ( ) X2
This equation suggests that among moms
of the same
for
every
prepregnancy weight, the baby's predicted
birth weight
increase in the mom's
by -----
Using this equation, you would predict that
a baby's birth weight born from a mom
who is 31 years old and has a prepregnancy
weight of 142 pounds will be
Suppose your estimated regression
equation is: (Equation B) Y=(2,931.67)+
(-0,77)(X1)+(0.16)(X2).
Equation B suggests that among moms of
the same___---, for every
increase in the mom's prepregnancy
weight, the baby's predicted birth weight
by__.
Using Equation B, you would predict that a
baby's birth weight born from a mom who
is 31 years old and has a prepregnancy
weight of 142 pounds will be
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