Answered: LINEAR REGRESSION 2) During the last…

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

LINEAR REGRESSION

2) During the last three months, on 10 occasions a sound equipment store appeared in television commercials to promote your sales. The managers want to investigate whether there is a relationship between the number of commercials broadcast on the weekend and the sales in the following week according to the table

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A. What are the mean and median of each distribution?

B. What is the variance and standard deviation of each distribution?

C. Make the scatterplot, calculate the covariance and discuss it

D. Calculate Pearson's correlation coefficient. Is it consistent with covariance? Comment it.

Number of commercials
sales volume ($100)
2 5 13
4 1 5 3 4 2
50 57 41 54 54 38 63 48 59 46

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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