Question

In: Statistics and Probability

Why is it advisable to generate a scatterplot before computing a correlation coefficient between two variables?...

Why is it advisable to generate a scatterplot before computing a correlation coefficient between two variables? Describe how a scatterplot might differ when viewing correlations that represent positive, negative, and no relationship between predictor and criterion variables. Is it possible to have a relation between variables that systematic (i.e., reliable and predictable) yet not linear?

Solutions

Expert Solution

Answer:

Scatter plot plays a great role in viewing the data in many ways----

  • What is trend of the data, increasing, decreasing or constant.
  • Is any outlier present in the data or not.

Why scatter plot is necessary before finding correlation coefficient----

  • It will provide pre idea with reference to the relationship between these two variables.
  • It will provide idea about the linear relationship between two variable, sometime relation between x and y is non linear but correlation coefficient is not zero (as correlation coefficient is a measure of linear relation between two variable), gives a wrong interpretation of data....

By scatter plot we can get an idea about type of relationship linear or nonlinear.


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