Find Regression equation SST and r2 and state what percentag

Find Regression equation, SST, and r^2 and state what percentage of the variation in the data is explained by the regression equation?

X values: 2,3,4,-1

Y Values: 0,2,3,-1

Solution

Regression Analysis: Y versus X

The regression equation is given by
y = - 0.571 + 0.786 x

Predictor     Coef SE Coef      T      P
Constant   -0.5714   0.6029 -0.95 0.443
C1          0.7857   0.2202   3.57 0.070

S = 0.823754   R-Sq = 86.4%   R-Sq(adj) = 79.6%

Analysis of Variance

Source          DF       SS      MS      F      P
Regression       1   8.6429 8.6429 12.74 0.070
Residual Error   2   1.3571 0.6786
Total              3 10.0000

SST = 10

and R² = 86.4% i.e. 86.4% of variation in the data is explained by the regression equation