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(a) Pearson coefficient:
A study may be taken up to check whether the last grades of understudies in a Statistics class are connected to how frequently they miss their homework due dates. Can doing the assignments earnestly XXXXX time have any impact on the last score of an understudy? This can be checked by computing a Pearson coefficient for the bivariate information of number of home works not submitted or late entries versus the last grade. It is normal that a relationship (if present) should be negative. That is, less the misses (more persevering an understudy is with the homework), higher his exam score.
(b) χ2 coefficient:
A study may be taken up to see whether sexual orientation has an impact on how understudies rate their teachers. Do understudies rate their educators just on how well they instruct and how pleasantly they review or is there a sex inclination? A table of teacher appraisals versus sex may be subjected to a χ2 investigation to check whether the evaluations are free of the sexual orientation or not. In the event that the invalid speculation of freedom is rejected, that implies there is sex predisposition. Yet another study could be to check whether participation to classes has any impact on how an analyst grades student.
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