Question

In: Statistics and Probability

Suppose these physicians are interested in further investigating abnormal chromosomal development. They recruit 6 women from...

  1. Suppose these physicians are interested in further investigating abnormal chromosomal development. They recruit 6 women from a local hospital who meet the following requirements: they have had at least 1 pregnancy loss (miscarriage) in their lifetime, and 2) their doctors properly documented their levels of PAPP-A in the first trimester of each pregnancy. PAPP-A is used as a measure of fetal chromosomal development during the first trimester of development. Low levels of PAPP-A have been associated with many fetal chromosomal abnormalities. The physicians believe that levels of PAPP-A (x variable) may be related to pregnancy loss (y variable): they predict that women with low levels of PAPP-A will experience more pregnancy losses in their lifetime. The data are below. Plot the data in a scatterplot. Draw your best estimate of the regression line. What direction is the correlation?

Subject

1

2

3

4

5

6

# of pregnancy losses in lifetime

2

1

3

6

5

4

Average PAPP-A level during first trimester of pregnancy (in IU/liter)

9.00

9.50

7.00

0.50

2.10

5.50

  1. Based on the results of the study described in Question #2, the physicians rerun the same study with 600 women. Results of the correlation analysis are as follows: r = -.464, p = .0091, a = .05. State the direction of the correlation, whether it is significant, and provide an interpretation of the results.
  1. What is the r2 value and its corresponding interpretation?

Solutions

Expert Solution

Given for a correlation test

r = -.464, p = .0091, a = .05.

the direction of the correlation is opposite to each other because r is negative, which means increase in Average PAPP-A level during first trimester of pregnancy decreases the # of pregnancy losses in lifetime.

here for the correlation test p-value is given as 0.0091 and the level of significance alpha = 0.05,

since p-value is less than alpha we reject null hypothesis and conclude that there is a significant correlation exists between the given variables.

r2 value = r2 = (-0.464)2 = 0.215

Interpretation of r2 : - The model explains 21.5% of the variability between the  # of pregnancy losses in lifetime using the  Average PAPP-A level during first trimester of pregnancy as an independent variable.


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