Analysis of data from a statistical study shows a linear relationship in the data with a correlation coefficient of -0.524.Summarize

Question

I dont know

Answer 1

Correlation coefficient tells you how strong the correlation is between the data and the direction of the relationship.  Keep in mind that this can range from +1 to -1 ie an interval of [-1,1]

• Direction of relationship
• a positive (+) coefficient means that relationship between the data moves in the same direction.  If one piece of data is x and the other is y then as x increases y increases or as y increases x increases.  They move in the same direction.
• a negative (-) coefficient as in this problem means that they move in opposite directions.  So if x increases y decreases or if y increases x decreases.
• This is describing the slope of the line.
• The value tells you the strength of the relationship.  What this means often tends to depend on the field that is being studied.  However absolute values of greater than .8 or .9 mean a strong relationship and values at .5 or less mean a weak relationship.

So I would describe a correlation coefficient of -.0524 as a weak negative relationship.