The following model was fitted to a sample of 30 families in order to explain household milk consumption:
y = β0 + β1x1 + β2x2 + ε
where
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 estimated standard errors were as follows:
sb1 = 0.023 sb2 = 0.35
The total sum of squares and regression sum of squares were found to be as follows:
SST = 162.1 and SSR = 88.2
a. Test the null hypothesis:
H0: β1 = β2 = 0
b. Set out the analysis of variance table.