¶ … reach significance, one can conclude from the analysis that there is no correlation between GRE and GPAs at the end of the graduate program for electrical engineering in the Ivy League university between 2000 and 2013. In other words, when one variable changes, it does not reflect in the change of the other variable in a linear way (Lecture 5 Notes, n.d., p. 1). For significance to be shown, it would have to be seen that the variables' values were statistically correlated in a manner that could be "represented in a linear equation" (Lecture 5 Notes, n.d., p. 1).
No consistency in change signifies that there is no correlation. Thus, if one's GPA is 3.5, a reasonable guess cannot be made regarding what that individual's GRE score would be. Or if one's GRE score at the start of the program is x, one cannot make a reasonable guess as to what that person's GPA would be at the end of the program. The GRE, as indicated by the data, is not a strong indicator of GPA.
While correlations "are never perfect" one should still expect correlating variables to allow for accurate predictions (Lecture 5 Notes, n.d., p. 1). Variables do not necessarily have to move in the same direction (positive correlation)...
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