Question

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

Answer 1

Answer:

0.7

Step-by-step explanation:

The coefficient of determination which is also known as the R² value is expressed as shown;

$R^{2} = \frac{sum\ of \ squares \ of \ regression}{sum\ of \ squares \ of total}$

Sum of square of total (SST)= sum of square of error (SSE )+ sum of square of regression (SSR)

Given SSE = 60 and SSR = 140

SST = 60 + 140

SST = 200

Since R² = SSR/SST

R² = 140/200

R² = 0.7

Hence, the coefficient of determination is 0.7. Note that the coefficient of determination always lies between 0 and 1.