Ft a straight-line model through the origin ie fit ey

Question

Learning the mechanics. Consider the eight data points shown in the table.

x	-4	-2	0	2	4	6	8	10
y	-12	-7	0	6	14	21	24	31

(a) Fit a straight-line model through the origin; i.e., fit E(y) = β₁x.

(b) Calculate SSE, s², and s.

(c) Do the data provide sufficient evidence to indicate that x and y are positively linearly related?

(d) Construct a 95% confidence interval for β₁.

(e) Construct a 95% confidence interval for E(y) when x = 7.

(f) Construct a 95% prediction interval for y when x = 7.