Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A study conducted at Baystate Medical Center in Springfield, Massachusetts, identified factors that affect the risk of giving birth to a low-birth-weight baby. Low birth

A study conducted at Baystate Medical Center in Springfield, Massachusetts, identified factors that affect the risk of giving birth to a low-birth-weight baby. Low birth weightis defined as weighing fewer than 2,500 grams (5 pounds, 8 ounces) at birth. Low-birth-weight babies have increased risk of health problems, disability, and death. [Source: Hosmer, D., & Lemeshow, S. (2000). Applied logistic regression(2nd ed.). Hoboken, NJ: Wiley.]Suppose that you conduct a similar study focusing on the age, prepregnancy weight, and weight gain of the mothers as predictors of their babies' birth weight among 54 low-birth-weight babies. You use a statistical software package to run a multiple regression predicting birth weight in grams (BIRTHWT) from the mother's age in years (AGE), the mother's prepregnancy weight in pounds (MOMWT), and the mother's weight gain in pounds (GAIN). Use the output that follows to answer the following questions.Correlations

BIRTHWT AGE MOMWT GAIN
BIRTHWT Pearson Correlation 1.000 -0.3799 -0.1164 0.1925
Sig. (two-tailed) 0.0046 0.4020 0.1630
N 54 54 54 54
AGE Pearson Correlation -0.3799 1.000 0.1643 -0.0864
Sig. (two-tailed) 0.0046 0.2352 0.5345
N 54 54 54 54
MOMWT Pearson Correlation -0.1164 0.1643 1.000 -0.1404
Sig. (two-tailed) 0.4020 0.2352 0.3113
N 54 54 54 54
GAIN Pearson Correlation 0.1925 -0.0864 -0.1404 1.000
Sig. (two-tailed) 0.1630 0.5345 0.3113
N 54 54 54 54

Model Summary

Model R R Square Adjusted R Square Std. Error of the Estimate
1 0.414 0.171 0.121 323.171

a. Predictors (constant): AGE, MOMWT, GAINANOVAbb

Model Sum of Squares df Mean Square F Two-Tailed Sig.
1 Regression 1078632.4 3 359544.1 3.443 0.0235
Residual 5221989.3 50 104439.8
Total 6300621.6 53

a. Predictors (constant): AGE, MOMWT, GAINb. Dependent Variable: BIRTHWTCoefficients

Model Unstandardized Coefficients Standardized Coefficients t Two-Tailed Sig.
B Std. Error Beta
1 (Constant) 2632.1972 324.9535 8.1002 0.0000
AGE -27.9660 10.1444 -0.3606 -2.7568 0.0081
MOMWT -0.4462 1.6694 -0.0352 -0.2673 0.7904
GAIN 4.9680 4.1377 0.1565 1.2007 0.2355

a. Dependent Variable: BIRTHWTThe estimated regression equation is:

= AGE + MOMWT + GAIN +

Following is part of a write-up of your results. Using the information in the table just given, fill in the blanks with the appropriate words or phrases that correctly describe the results of your study. Assume that you have nondirectional null hypotheses and are using a significance level of 0.05.

Multiple regression was used to determine whether low-birth-weight babies' birth weights could be predicted from their mothers' ages, prepregnancy weights, and weight gain over the course of the pregnancy. The overall regression was [F(3, 50) = , p = , and R = ]. Only was a significant predictor of birth weight (t= , p = ).

Suppose that the coefficients of all of the predictor variables you included in the regression model were significantly different from zero (that is, all three are significant). Which of the following comparisons might best help you think about which variable is the most important predictor?

Comparing the significance levels of the coefficients

Comparing the magnitudes of the beta values (the standardized coefficients)

Comparing the magnitudes of the standard errors of the coefficients

Comparing the magnitudes of the B values (the unstandardized coefficients)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Beginning Algebra A Text/Workbook

Authors: Charles P McKeague

2nd Edition

1483271242, 9781483271248

More Books

Students also viewed these Mathematics questions

Question

Influences on Nonverbal Communication?

Answered: 1 week ago