(h) Why do we need adjusted coefficient of deteron(Rad) when we already have (2
ID: 3056098 • Letter: #
Question
(h) Why do we need adjusted coefficient of deteron(Rad) when we already have (2 marks) Please comment on whether the multiple regression model [from c)] is a good model (2 marks) coefficient of determination? Please explain. (i) based on the histogram of residuals. Residuals histogram 20 15 10 0 0.75 -0.5 -0.25 0.25 0.5 More G) For the multiple regression model with the regression equation in c), the variance inflation factor (VIF) is 1.1. Please comment on whether the multiple regression model (2 marks) Please write a short executive summary for this study on the determinants of GPA. (5 marks) [from c] is a good model. (k) (word limit: 150 words)Explanation / Answer
h)
R Squared gives the extent to which the response captures the changes in the predictor variable
However, as we keep adding more variables as predictors, the value of R Squared goes up
But the quality contribution of a particular variable to the study is unknown
On the other hand, Adjusted R Squared only increases if the extra added variables have some positive affect in changing the accuracy of response.
So, Adj R Square <= R Squared
i)
Yes. The residuals have a zero mean
This means, the expected value is 0 and this is one of the conditions for least squares regression
For answering (j) and (k), I would need the regression equation in the first place.
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