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Statıstıcs Iı Deneme Sınavı Sorusu #968516
Statıstıcs Iı Deneme Sınavı Sorusu #968516
A teacher has created a simple linear regression model for a problem with two variables. The total variation in the model is partitioned as follows:
SST = SSR+SSE = 450+ 50
What is the value of the coefficient of determination in this problem?
|
60% |
|
70% |
|
80% |
|
90% |
|
100% |
Yanıt Açıklaması:
Since the components of the total variation is already given then the coefficient of determination for this problem is as follows:
r2 = explained variation / total variation = SSR / SST
SST = SSR+SSE = 450+ 50
SSR / SST = 450 / (450+50) = 450 / 500 = 0.90
Therefore, we can say that the 90% of the variability in the dependent variable can be accounted to the
independent variable.
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