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Question

 You are given the following data:              2  1  1  2  1  1 3  1  2  1  0

             1  1  3  2  1  4  1  1  1  0 2


Required:

(a) Draw a histogram.

(b) Draw a frequency table.

(c) Draw a frequency polygon.


4. Calculate the correlation coefficient between advertising (x) and sales (y).


Year

2009

2010

2011

2012

2013

2014

$'000 Advertising

10

11

12

13

14

15

$'000 Sales

200

220

230

250

260

300

( b )     Describe the relationship between advertising and sales.


( c )     Find the equation of the regression line.


( d )     Plot the data for the annual sales versus advertising on a scattergram using the paper below. Start the x axis from 100 and the y axis from 8.


( e )     Use the regression equation to draw the line of regression on your scatter diagram.


( f )      If advertising is $16,000 in 2015 calculate the expected sales.


5. Why is accurate data so important for business survival? What are some of the graphical data techniques that are used to illustrate statistics results?

Step-by-step answer

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