Prediction of a repair for a boat that is ten years old

orendacl

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Nov 10, 2010
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Question:
Predict the repair cost for a boat that is ten years old:
First off, I found the linear regression equation, and the correlation coefficients:

They are y=-1.49+0.69x

Note:
I was given a table with age in years as X 4, 6, 7, 8, 9; Repair cost in 1000 of dollars for Y, 1, 2, 5, 4, 4 corresponding to X.

But, I need to predict the repair cost for the boat seeing as it is ten years old, anddo not know how to do this. Incidentally, the problem asks me to cumpute the standard error as well. Standard error between what...? That is S/Root(n) isn't it, but how do you go about that too?
 
You have the correct linear equation. Just sub in x=10 to find the repair cost in thousands for a 10 year old boat.

More accurately, I get \(\displaystyle y=.689189x-1.486486\)
 
I sub in 10 and get 5.4 thus approximately 5000 dollars.
How do you calculate the standard error though?
 
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