If our model says this:

Salary = B1 + B2*Hits + e

And B1 = 10 and B2 = 3. What is the e for a player who has 9 hits and a salary of 57?

Question

If our model says this:

Salary = B1 + B2*Hits + e

And B1 = 10 and B2 = 3. What is the e for a player who has 9 hits and a salary of 57?

BlackTom AI · Accepted Answer

The question presents a simple linear regression-like model: Salary = B1 + B2*Hits + e, with B1 = 10 and B2 = 3. 
First, compute the predicted salary from the known components: B1 + B2*Hits = 10 + 3*9. 
3 times 9 equals 27, so 10 + 27 = 37. 
Now, solve for the residual e using the given actual salary: e = Salary - (B1 + B2*Hits) = 57 - 37. 
Subtracting 37 from 57 yields 20. 
Therefore, the error term e is 20. 
Note: There are no answer choices provided to compare against, so this calculation stands as the direct result from substituting the given values into the model. If someone were unsure, a common pitfall would be to miscalculate the product B2*Hits or to forget to subtract the predicted salary from the actual salary, but the correct sequence is to compute the predicted component first (37) and then find the residual (57 - 37 = 20).

If our model says this: Salary = B1 + B2*Hits + e And B1 = 10 and B2 = 3. What is the e for a player who has 9 hits and a salary of 57?

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