Do the data provide sufficient evidence to indicate that x

Question

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

x	0	1	2	3	4
y	0	-8	-20	-30	-35

(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 negatively linearly related?

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

(e) Construct a 95% confidence interval for E(y) when x = 1.

(f) Construct a 95% prediction interval for y when x = 1.