Show work 2. a. What do we mean when the correlation coefficient equals 1 or -1? What would thescatter diagrams for these variables look like?b. Is it possible that two variables could have a strong relationship but havea low linear correlation? Explain and draw a scatter diagram to demonstrateyour point.

Answered: 2. a. What do we mean when the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. a. What do we mean when the correlation coefficient equals 1 or -1? What would the
scatter diagrams for these variables look like?
b. Is it possible that two variables could have a strong relationship but have
a low linear correlation? Explain and draw a scatter diagram to demonstrate
your point.

Expert Solution

Step 1: Part 1

a. When the correlation coefficient equals 1, it indicates a perfect positive linear relationship between the two variables. This means that as one variable increases, the other variable also increases proportionally. The scatter diagram for these variables would show all data points forming a straight line with a positive slope.

Conversely, when the correlation coefficient equals -1, it indicates a perfect negative linear relationship between the two variables. This means that as one variable increases, the other variable decreases proportionally. The scatter diagram for these variables would show all data points forming a straight line with a negative slope.