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Your assignment is to prepare and submit a paper on correlaton. There is a positive correlation between self-esteem and depression, and in this case it is 0.64. Tom interprets this to mean that low le

Your assignment is to prepare and submit a paper on correlaton. There is a positive correlation between self-esteem and depression, and in this case it is 0.64. Tom interprets this to mean that low levels of self-esteem lead to high levels of depression. Tom misinterprets these data.

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Correlation calculates or somehow defines the level of relationship between two variables, the dependent and independent variables (Healey, 2012). One can denote these variables as x and y variables, respectively. In the case of Tom’s data the level of self-esteem can be denoted as the x variable and the level of depression can be denoted as the y variable. If there is a relationship between these variables, then x influences y or in other words y depends on x. The value of correlation ranges from -1 passing 0 to +1. The -1 value is considered a negative perfect correlation. The +1 value is considered a positive perfect correlation.

The existence of positive correlation between the two variables means that for every increase of x, there is a corresponding increase of y. On the other hand, the negative correlation indicates that for every increase of x there is decrease of y and vice versa. There is an inverse relationship.

In the case of Tom’s data, the existence of inverse relationship is not remarkable due to a 0.64 correlation between the levels of self-esteem and the levels of depression. This correlation could mean that for every increase of the level of self-esteem there is also a corresponding increase of the level of depression or conversely, the increase of the levels of depression results to a significant increase of the levels of self-esteem too.

Reference

Healey, J. (2012). The essentials of statistics: A tool for social research (3rd ed.). Belmont, CA: Cengage Learning.