The table below shows some data fromn a known international clothing company. Each row in the table shows sales for a year (in million) and the amount spent on advertising that year (in million). In this case, sales is what we want to predict using the advertising budget. Find the following. Given that: Mean of Advertising =15 and standard deviation = 5 Mean of Sales= 45 and standard deviation = 10 Advertising Sales (Million) (Million) 19 54 10 28 12 43 17 47 8 32 15 50 22 65 1. Find the correlation coefficient (r). Determine the direction and strength of the relationship? 2. Find the Coefficient of determination. Explain the result (is it a useful model)? 3. Compute and draw Regression line model. 4. Compute the mean absolute error for this regression model.

The table below shows some data fromn a known international clothing company. Each row in the table shows sales for a year (in million) and the amount spent on advertising that year (in million). In this case, sales is what we want to predict using the advertising budget. Find the following. Given that: Mean of Advertising =15 and standard deviation = 5 Mean of Sales= 45 and standard deviation = 10 Advertising Sales (Million) (Million) 19 54 10 28 12 43 17 47 8 32 15 50 22 65 1. Find the correlation coefficient (r). Determine the direction and strength of the relationship? 2. Find the Coefficient of determination. Explain the result (is it a useful model)? 3. Compute and draw Regression line model. 4. Compute the mean absolute error for this regression model.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

The table below shows some data fromn a known international clothing company. Each row
in the table shows sales for a year (in million) and the amount spent on advertising that
year (in million). In this case, sales is what we want to predict using the advertising budget.
Find the following. Given that:
Mean of Advertising =15 and standard deviation = 5
Mean of Sales= 45 and standard deviation = 10
Advertising
(Million)
Sales
(Million)
19
54
10
28
12
43
17
47
8
32
15
50
22
65
1. Find the correlation coefficient (r). Determine the direction and strength of the
relationship?
2. Find the Coefficient of determination. Explain the result (is it a useful model)?
3. Compute and draw Regression line model.
4. Compute the mean absolute error for this regression model.

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