Q8(16). We study how does family size effect monthly expense on food. We collected a sample about family size and expense as follow:

family size (x) : 6, 2, 4, 3, 5, 4

expense (y, in $1000): 3.2, 1.4, 2.5, 2.0, 3.6, 2.8

=24,=15.5,=67.2,2=106,2=43.25.xi=24,yi=15.5,xiyi=67.2,xi2=106,yi2=43.25.

1.(4) Find the estimated regression line.

2.(2) Predict the true mean expense for family size of 3.

3.(5) Complete the ANOVA table for this regression model, and do an F test for the model significance. = 0.05.

4.(5) Conduct a t test 0:1=0,1:10H0:1=0,H1:10 for the regression. Solve by reject region method. =0.05.=0.05.