Answered: Which of the following is true about…

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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Question

Which of the following is true about the correlation ()? (There may be more than one correct
answer)

a. When = 0, there is a strong linear relationship between the two quantitative variables.
b. −1 ≤ ≤ 1
c. measures the direction and strength of the linear relationship between two quantitative
variables.
d. To calculate r, we need to know what the median is.
e. does not change when we change the units of measurements of x, y, or both.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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