In a simple linear regression based on 30 observations, the following information is provided: = 32.3 + 1.45x and s_e= 3.2. Also, se( ₀) evaluated at x = 20 is 1.3.
A) Construct a 95% confidence interval for E(y) if x = 20.
B) Construct a 95% prediction interval for y if x = 20.

Question

In a simple linear regression based on 30 observations, the following information is provided:

= 32.3 + 1.45x and s_e= 3.2. Also, se( In a simple linear regression based on 30 observations, the following information is provided: = 32.3 + 1.45x and s<sub>e </sub>= 3.2. Also, se( <sub>0</sub>) evaluated at x = 20 is 1.3. A) Construct a 95% confidence interval for E(y) if x = 20. B) Construct a 95% prediction interval for y if x = 20.

₀) evaluated at x = 20 is 1.3.
A) Construct a 95% confidence interval for E(y) if x = 20.
B) Construct a 95% prediction interval for y if x = 20.

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The Answer of In a simple linear regression based on 30 observations, the following information is provided: = 32.3 + 1.45x and s_e= 3.2. Also, se( ₀) evaluated at x = 20 is 1.3. A) Construct a 95% confidence interval for E(y) if x = 20. B) Construct a 95% prediction interval for y if x = 20.

In a Simple Linear Regression Based on 30 Observations, the Following