Below is a dataset. xi 1 2 3 4 5 yi 3 7 5 11 14...

Below is a dataset.

xi 1 2 3 4 5

yi 3 7 5 11 14

Use the facts that ˆy = .20 + 2.6x, ̄x = 3, ̄y= 8, Σ(xi − ̄x)^2 = 10, and SSE=12.4.

a. Estimate the standard deviation of ˆy∗ when x= 4.

b. Develop a 95% confidence interval for the expected value of y when x= 4.

c. Estimate the standard deviation of an individual value of y when x= 4.

d. Develop a 95% prediction interval for y when x= 4.

Expert Solution

orchestra answered 1 year ago

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