Applied Regression Modeling

3rd edition

Iain Pardoe

A concise, comprehensive treatment of the application of statistical regression analysis suitable for undergraduate and graduate students. Covers simple linear regression, multiple linear regression, model building, and advanced regression topics.

by Iain P
on May 4, 2021

Answer the following questions based on Section 2.6: Estimation and prediction.

Consider the following data:

X 1.1 1.4 1.8 2.5 3.2
Y 3.8 5.7 6.9 8.1 10.0
Use statistical software to fit a simple linear regression model with response variable, Y, and predictor variable, X. Use the fitted model to answer the following questions.

1. 

What is the lower bound of a 95% confidence interval for the expected value of Y at X = 2. Write a number rounded to three decimal places.

2. 

What is the upper bound of a 95% confidence interval for the expected value of Y at X = 2. Write a number rounded to three decimal places.

3. 

Which of the following is the correct interpretation of a 95% confidence interval for the expected value of Y at X = 2 that goes from a to b?

4. 

What is the lower bound of a 95% prediction interval for an individual Y-value at X = 2. Write a number rounded to three decimal places.

5. 

What is the upper bound of a 95% prediction interval for an individual Y-value at X = 2. Write a number rounded to three decimal places.

6. 

Which of the following is the correct interpretation of a 95% prediction interval for an individual Y-value at X = 2 that goes from a to b?

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