When asked to state the simple linear regression model, a student wrote it as follows: e(yi) = βo + β1xi + ei . do you agree? explain.

No. See the explanation below.

Step-by-step explanation:

No. When we have the lineal model given by:

For n observations, where y represent the dependent variable, X represent the independent variable and are the parameters of the model, we are assuming that is and independent and identically distrubuted variable that follows a normal distribution with the following parameters .

So then the expected value for any error term is

So then if we find the expected value for any observation we have this:

Now we can distribute the expected value on the right by properties of the expected value like this:

By properties of the expected value if a is a constant and X a random variable, so then if we apply this property we got:

And if we see that'ts not the result supported by the claim for this reason is FALSE the statement.

a

step-by-step explanation:

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