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Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. 0.767 1. What is the value of the coefficient of​ determination?2. What is the percentage of the total variation that can be explained by the linear relationship between the two​variables?

Respuesta :

Answer:

1. r² = 0.588

2. 59% of the variation of the dependant variable can be explained by this linear regression model.

Step-by-step explanation:

We have a regression model that has a linear correlation coefficient between the two variables with value r = 0.767.

The coefficient of determiniation r² will have a value of:

[tex]r^2=(0.767)^2=0.588[/tex]

The percentage of the total variation that can be explained by the linear relationship between the two ​variables is given by the value of the coefficient of determiniation r².

So we can conclude that 59% of the variation of the dependant variable can be explained by this linear regression model.

fichoh

The Coefficient of determination, R² is the squared Value of the correlation Coefficient, which gives the percentage of variation explained by the regression line. Hence, the R² value is 0.588, which means about 58.8% of the total variation can be explained by the linear relationship between the variables.

Given that :

  • R = 0.767

  • The Coefficient of determination = R² = 0.767² = 0.588

  • The percentage of explained variance is given by the R² value, Hence, about 58.8% of variation is explained by the linear relationship.

Learn more : https://brainly.com/question/13976112

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