Question

Given =r0.77, find the coefficients of determination and nondetermination and explain the meaning of each. The coefficient of determination is . % of the variation of y is ▼(Choose one) to the variation of x. The coefficient of nondetermination is . % of the variation of y is ▼(Choose one) to the variation of x.

Answer 1

a) The coefficient of determination is obtained here as:

Therefore 0.5929 is the required coefficient of determination here. The interpretation of this is that 59.29% of the variation in the dependent variable y is explained by the variation in the independent variable X.

b) The coefficient of non determination is computed here as:

= 1 - R² = 1 - 0.5929 = 0.4071

Therefore 0.4071 is the required coefficient of non determination here. The interpretation of this is that there is 40.71% of the variation in y that is not explained by the regression here.