Respuesta :
Answer: 64% of the variability in weight can be explained by the relationship with height.
Step-by-step explanation:
- In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
- Coefficient of determination, [tex]r^2[/tex], is a measure of variability in one variable can be explained variation in the other.
Here, r= 0.80
[tex]\Rightarrow\ r^2= (0.80)^2=0.64[/tex]
That means 64% of the variability in weight can be explained by the relationship with height.
The variability in weight is 64 % , explained by the relationship with height.
Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.
The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.
Correlation coefficient is represented by r.
Given that, the correlation between height and weight for adults is 0.80.
[tex]r=0.8[/tex]
The variability in weight is, = [tex]r^{2}=(0.8)^{2} =0.64[/tex]
Thus, the variability in weight is 64 % , explained by the relationship with height.
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