In a simple linear regression based on eight observations, the following sample regression is obtained y 9 15 1 46x with s e 2 67 Also, when x equals 15, s e (y 0 ) 1 06 a Construct the 95 confidence interval for E(y) if x 15 b Construct the 95 prediction interval for y if x 15 c Which interval is ...

a With df n k 1 8 1 1 6 and 005 we find t 2 df t 00256 2447 b ...

In a simple linear regression based on eight observations, the following sample regression is obtained: y =

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In a simple linear regression based on eight observations, the following sample regression is obtained: ŷ = 9.15 + 1.46x with s_e = 2.67. Also, when x equals 15, s_e(ŷ⁰) = 1.06.

a. Construct the 95% confidence interval for E(y) if x = 15.

b. Construct the 95% prediction interval for y if x = 15.

c. Which interval is wider? Explain.

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In a simple linear regression based on eight observations, the following sample regression is obtained: y =

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