MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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1. The following chart is data over an 8 month period that shows how much a company spent in advertising and the sales revenue for that month

 

MONTH

ADVERTISING $

SALES $

March

900

56000

April

2700

89200

May

3150

98500

June

1300

54000

July

3400

97000

Aug

1500

56000

Sept

2300

93000

Oct

2250

79000

 

a)What is the correlation coefficient? (round to 2 decimals) describe how you utilized excel to arrive at this number (recommended) or show the formula you utilized to arrive at this answer

 

 

 

 

b) Is it a positive or negative correlation?

 

 

 

 

c) Would you say it is a strong correlation, weak correlation or no correlation? What is the indicator that lead you to that conclusion?

 

 

 

 

d) What is the linear equation (y = mx + b form) that best approximates the relationship between advertising dollars spent(x) and sales revenue(y) based on the above 8 months of data? (round to 2 decimals for the slope and the y intercept) describe how you utilized excel to arrive at this equation (recommended) or show the formula you utilized to arrive at your equation

 

 

 

e) What sales revenue would the company expect for the following advertising spending? Round to nearest centshow calculation

 

a) 3000
b) 2100
c) 1300

 

 

 

f) If you were in charge of the advertising department how much would you spend on each of the next 4 months on advertising and how and why did you arrive at your decision?

 

Nov

 

Jan

 

Feb

 

March

Please give a short explanation as to how and why you came up with your advertising spending for the above 4 months.

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If you were in charge of the advertising department how much would you spend on each of the next 4 months on advertising?

 

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  1. What is the linear equation (y = mx + b form) that best approximates the relationship between advertising dollars spent(x) and sales revenue(y) based on the above 8 months of data? (round to 2 decimals for the slope and the y intercept)

 

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If you were in charge of the advertising department how much would you spend on each of the next 4 months on advertising?

 

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Follow-up Question
  1. What is the linear equation (y = mx + b form) that best approximates the relationship between advertising dollars spent(x) and sales revenue(y) based on the above 8 months of data? (round to 2 decimals for the slope and the y intercept)

 

Solution
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