Answer the following questions based on Section 2.1: Probability model for X and Y.

Use the simple linear regression model, E(Y | X) = 1.8 + 2.5 X, to answer the following questions.

1. 

What is the expected value of Y given X = 0. Write a number rounded to one decimal place.

2. 

How much does the expected value of Y change when X increases by 1 unit? Write a number rounded to one decimal place.

3. 

Calculate the expected value of Y given X = 1.4. Write a number rounded to one decimal place.

4. 

Calculate the random error for an observation with X = 1.4 and Y = 5.7. Write a number rounded to one decimal place.

5. 

Which of the following are valid ways to write a simple linear regression model? Select all that apply.

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