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.