1. ## Linear Regression

A simple linear regression analysis resulted in b0 = 40 and b1 = 3.
If one of the observations in your
data set has a value of Y=14 and X=8, what is the residual for this observation?

2. ## Re: Linear Regression

Step 1: estimate Y

Step 2: subtract estimate from Y

Step 3: residual equals square value of difference from step 2.

3. ## Re: Linear Regression

Originally Posted by hlsmith
Step 1: estimate Y

Step 2: subtract estimate from Y

Step 3: residual equals square value of difference from step 2.
What will be the answer in this case? Is it 4?

4. ## Re: Linear Regression

How did you get 4?

5. ## Re: Linear Regression

y-hat = B0 + B1(X1); or

Y estimate = Bo + B1(X1 value)

6. ## Re: Linear Regression

Originally Posted by hlsmith
y-hat = B0 + B1(X1); or

Y estimate = Bo + B1(X1 value)
Will it be like the following

40+3*8 =64

14-64= -50

(-50)^2 =2500

Ans: 2500

7. ## Re: Linear Regression

Originally Posted by hlsmith
Step 3: residual equals square value of difference from step 2.
This step is wrong. The residual is just the difference.

8. ## Re: Linear Regression

Originally Posted by Dason
This step is wrong. The residual is just the difference.
So, what will be the answer? Is it -50?

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