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Maksim231197 [3]
3 years ago
8

Rob found that the coefficient of determination between the length of essays submitted to a teacher x and the score the teacher

gave the essay y was about 0.661. What can we conclude?
Mathematics
1 answer:
netineya [11]3 years ago
6 0

Answer:

The coefficient of determination is used to measure how well a model fits the real data, or how well it can replicate them. The closer to 1 the value of R ^ 2 the more accurate the model is.


In this case, that R ^ 2 = 0.661 means that the model fits moderately to the variable to be studied.


For a linear regression model, the coefficient of determination is the square of the correlation coefficient r of Pearson. So:


r =\sqrt{R^2}


r = 0.813


This value of r close to 1 means that the length of the essays sent to a teacher (x) and the score that the teacher gave to the essay (and) are highly related.

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