9780205797 e) What is the proportion of shared variance between children\'s BMI
ID: 3046202 • Letter: 9
Question
9780205797 e) What is the proportion of shared variance between children's BMI and their adoptive parents' BMI? That is, how much of the variance in the children's BMI can be predicte from their adoptive parents' BMI? (2 points total: 1 for work, 1 for result) (0,96)^2 = .92 Based on the two r statistics, what would be the answer to the research question of f) whether children's BMI is influenced more by nature or nurture? (1 point) . Pearson's Correlation (19 points) educational psychologist is interested in how the number of words learned within the first o years of life affects the trajectory of academic performance later in high school. To test t a, she conducts a longitudinal study of a group of 15 children. At age two, the educational ychologist assesses the number of words the children know. When the children complete ir sophomore year of high school, she obtains their GPA. The data form this longitudinal dy are listed below: Participant # Words known at age 2 20 14 18 High school GPA 2.50 3.14 3.96Explanation / Answer
The dataset considered here is:
The correlation, r between the child and the birth parents (nature) is: -0.2695502
The correlation, r between the child and the adoptive parents (nurture) is: 0.9596282
Thus clearly, the correlation of BMI between the child and birth parents is very low while the correlation of BMI between the child and the adoptive parents are very high. Thus based on the two r statistics, we can confidentaly say that the children’s BMI is influenced more by nurture as this has a high positive correlation.
The R code to obtain the correlations is attached below:
##Childs BMI
child = c(17,22,27,24,23,17,23,19,23,19)
##Birth Parents BMI
birth = c(22,19,22,19,18,19,19,24,21,23)
##Adoptive Parents BMI
adoptive = c(19,22,30,27,24,17,25,18,24,21)
##Correlation between Child and Birth Parents (Nature)
cor(child,birth)
##Correlation between Child and Adoptive Parents (Nurture)
cor(child,adoptive)
Note: Please let me know if the dataset is different. I have taken the data from a similar question.
Child Child’s Birth Parent Child’s Adoptive Parent 17 22 19 22 19 22 27 22 30 24 19 27 23 18 24 17 19 17 23 19 25 19 24 18 23 21 24 19 23 21Related Questions
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