1. In the following correlation matrix, variable 1 is the dependent variable 78
ID: 2932922 • Letter: 1
Question
1. In the following correlation matrix, variable 1 is the dependent variable 78 43 23 07 09 .87 -.87 78 23 2 43 .07 4 09 a) Are variables 2,3, and 4 good potential predictor variables? b) Will multicollinearity be a problem for any combination? c) Which variable(s) will be included in the final model? 2. In the following correlation matrix, variable 1 is the dependent variable 2 92 81 21 84 75 .21 a) Are variables 2,3, and 4 good potential predictor variables? 84 92 7S 81 b) Will multicollinearity be a problem for any combination? c) Which variable(s) will be included in the final model?Explanation / Answer
1)
Are variables 2,3, and 4 good potential predictor variables ?
No. Not all of the variables 2,3, and 4 good potential predictor variables
Will multicollinearity be a problem for any combination?
Yes, multi collinearity will be a problem for some of the combinstions. Some combos like 1 and 2 (-.87), 3 and 1(.78)
are highly collinear, and thus cant be used
Which variable(s) will be included in the final model?
Variable 1 and 4 can be used. 1 is used, can explain 2 and 3. 4 can ve used
2)
a) 2, 3 ,4 are very good predicor of 2 .
This is due the fact of high correlation with the variable 1
b) Yes, amongst themselves the variables are hihly collinear
For example, 3 and 2 have a correlation of .72, 4 and 2 have .81
c) 4, 3 can be in the model. 3 and 4 dont have so much correaltion
against each other. 2 has, so its removed
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