Answer:
The % of variation is given by the determination coefficient given by [tex]r^2[/tex] and on this case [tex]r^2 =0.98^2 =0.9604[/tex], so then the % of variation explained by the model is 96.04%.
And the best answer would be:
About 96% of the total variation in y can be explained by the regression line
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
Solution to the problem
The % of variation is given by the determination coefficient given by [tex]r^2[/tex] and on this case [tex]r^2 =0.98^2 =0.9604[/tex], so then the % of variation explained by the model is 96.04%.
And the best answer would be:
About 96% of the total variation in y can be explained by the regression line
