Question

The data below shows the reading (x) and math scores (y) of a number of students.

Reading Scores	Math Scores
1	4
2	5
3	8
3	6
4	7
5	7
6	8
7	10
7	9
8	10
8	9
9	10

r2 = 85.62%. It represents the percent of the variances in the values of Y that can be explained by knowing the value of X. 85.62% of the variation of Y (math scores) is explained by X (reading scores) and 14.37% is unexplained

Answer 1

R​​​​​​2  is called the coefficient of determination between two random Variables X and Y in the regression model. It explains how much difference in the Y variable can be explained by the X variable. That means how much variability can be caused in Y Variable due to 1 unit variability in X Variable.

Here coefficient of determination is 85.62% . This means 85.62% Variability in Y is due to X and 14.38% Variability can not be explained by X