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27 September, 04:44

1. A silly psychology student gathers data on the shoe size of 30 of his classmates and their

GPA's. The correlation coefficient between these two variables is most likely to be

A) exactly - 1.0 B) near - 0.6 C) near 0 D) near + 0.6 E) exactly + 1.0

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Answers (1)
  1. 27 September, 07:07
    0
    (c) Near 0.

    Since there is no connection or relationship between the shoe size of classmates and marks score by them therefore, there is no interdependency or correlation between these two variables. Therefore, coefficient of correlation between them will be near to 0. Therefore option (c) is the correct answer.

    Step-by-step explanation:

    Correlation coefficient is a statistical tool that exhibits the the dependency and relationship between two variables. In other words, correlation coefficient measures how one variable is related to another variable.

    Coefficient of correlation ranges between + 1 to - 1. If correlation is positive 1 it shows the two variables are perfectly correlated to each other. If correlation is - 1 it shows the variables are negatively related to each other which mean rise in one leads to fall in other. zero correlation means there is the variables are not related to each other in any terms.

    For example, If high rainfall causes rise in a production of crops. It shows that there is positive correlation between the rainfall and crop production.
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