Question

df Regression Error Total SS 453.26 79.56 48 49 The above ANOVA output is part of the printout relating truck weight to fuel consumption. Calculate the coefficient of determination as a percentage correct to two decimal places.

Answer 1

Solution:

Given:

Sum of square of regression = SSR = 453.26

Sum of square of error = SSE= 79.56

SST = SSR + SSE

SST = 453.26 + 79.56

SST = 532.82

SST = sum of square of total

The coefficient of determination $R^2$ can be determined by using the formula

$R^2=\frac{SSR}{SST}$

$R^2=\frac{453.26}{532.82}$

$R^2=0.8506812$

  convert it's in percentage by multiplying 100.

R² = 85.07%