Respuesta :
Given the word problem, we can deduce the following information:
The correlation coefficient r is equal to 0.755.
To determine the coefficient of determination and the coefficient of nondetermination, we use the formulas below:
[tex]Coefficient\text{ }of\text{ }Determination=r^2[/tex][tex]Coefficient\text{ }of\text{ N}ondetermination=1-r^2[/tex]Now, we first plug in r=0.755 to get the coefficient of determination:
[tex]Coeff\imaginaryI c\imaginaryI ent\text{ o}f\text{ D}eterm\imaginaryI nat\imaginaryI on=r^2=(0.755)^2=0.57[/tex]Next, we get the coefficient of nondetermination:
[tex]\begin{gathered} Coeff\imaginaryI c\imaginaryI ent\text{ o}f\text{ N}ondeterm\imaginaryI nat\imaginaryI on=1-r^2=1-0.57=0.43 \\ \end{gathered}[/tex]Therefore, the answer is:
The coefficient of determination is 0.570 and the coefficient of nondetermination is 0.430
