Undergrad Use of R^2 adjusted in Simple Linear Regression-Excel?

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The discussion centers on the confusion surrounding the use of adjusted R-squared in simple linear regression within Excel. Participants clarify that adjusted R-squared is typically relevant when multiple variables are included in a model to prevent distortion, but in the case of simple linear regression with only one variable, it holds little significance. The adjusted value should closely align with the regular R-squared since no actual adjustment occurs with a single predictor. Questions about the necessity of the adjusted R-squared in Excel's output are raised, with the consensus being that it may simply be a standard part of the output without meaningful application in this context. Overall, the adjusted R-squared is deemed irrelevant for simple linear regression scenarios.
WWGD
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Hi All,
I am kind of confused at the fact that Excel uses the measurement of adjusted ## R^2 ## for simple
linear regressions ; please see below. What does that even mean, what is the adjustment for?
upload_2017-2-23_18-57-9.png
 
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Did you consult the help file ? Anything there that specifically needs extra explanation ?
 
I think WWGD question is more aimed at what does an adjusted R squared value mean in terms of a simple linear regression as opposed to what it means just in excel. The simple answer is that it means nothing. It's probably just part of the standard output but it should more or less be aligned with the regular r squared value since there isn't an adjustment being made per say. (i.e. as is the case in this example).
 
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BvU said:
Did you consult the help file ? Anything there that specifically needs extra explanation ?
Yes, essentially what Marne said: adjusted R-squared, AFAIK, is used in OLS to avoid distortions when additional variables are included. How does this make sense when we only use one variable?
 
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MarneMath said:
I think WWGD question is more aimed at what does an adjusted R squared value mean in terms of a simple linear regression as opposed to what it means just in excel. The simple answer is that it means nothing. It's probably just part of the standard output but it should more or less be aligned with the regular r squared value since there isn't an adjustment being made per say. (i.e. as is the case in this example).
Precisely. The adjustment is done for additional variables that are included, AFAIK.
 
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