The following model was fitted to a sample of 30 families in order to explain household milk consumption:
y = β0 + β1x1 + β2x2 + ε
y = milk consumption, in quarts per week
x1 = weekly income, in hundreds of dollars
x2 = family size
The least squares estimates of the regression parameters were as follows:
b0 = -0.025 b1 = 0.052 b2 = 1.14
The total sum of squares and regression sum of squares were found to be as follows:
SST = 162.1 and SSR = 88.2
a. Compute and interpret the coefficient of determination.
b. Compute the adjusted coefficient of determination.
c. Compute and interpret the coefficient of multiple correlation.