# Correlations, Correlation Coefficient, and Random Variables

Please help with the following problems.

1. Describe the correlation in this graph (see graph in attachment)

2. Which of these is true for the correlation coefficient?

- its range is [-1 1]

- we use r to represent it

- we use r^2 to represent it

- both 1 and 2

- both 1 and 3

3. Indicate whether the random variable x is discrete or continuous after each statement

a) discrete or continuous: x is the exact volume of milk in each gallon container in a dairy

b) discrete or continuous: x is the number of cars driving on a major highway

c) discrete or continuous: x is the number of defective motherboards in a computer factory

Please see the attached file for full problem description.

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#### Solution Preview

The answers are

1. The correlation in the graph is moderate positive

As we can use a line with positive slope (not small) to fit ...

#### Solution Summary

The following posting helps with a statistics problem. This solution provides a description of correlations, correlation coefficients, and discrete/continuous random variables.