Your company manufactures, among other things, pencil cases. Noting that sales have fallen in recent years, you decide to see if it is possible to straighten the market trend. You raise the sales volume as well as the price over the past few years. The results are given opposite, the comparison being made in constant dollars. Year Price ($) Annual sales in thousands   year price annual sales 1982 1,50 35 1983 1,75 31 1984 1,95 28 1985 2,30 24 1986 3,00 10   a) Graph the data. b) Using these data, construct a model describing the relationship between price and sales volume. c) The company wishes to dispose of what it can produce without asking workers to work overtime without stopping its other productions, i.e. 20,000 cases. What should be the price for sell off production?   d) Calculate the correlation coefficient. What does this coeff

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1) Your company manufactures, among other things, pencil cases. Noting that sales have fallen in recent years, you decide to see if it is possible to straighten the market trend. You raise the sales volume as well as the price over the past few years. The results are given opposite, the comparison being made in constant dollars. Year Price ($) Annual sales in thousands

 

year

price

annual sales

1982

1,50

35

1983

1,75

31

1984

1,95

28

1985

2,30

24

1986

3,00

10

 

  1. a) Graph the data.




  1. b) Using these data, construct a model describing the relationship between

price and sales volume.



  1. c) The company wishes to dispose of what it can produce without asking

workers to work overtime without stopping

its other productions, i.e. 20,000 cases. What should be the price for

sell off production?

 

  1. d) Calculate the correlation coefficient. What does this coefficient tell you?
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