The manager of a folder factory recorded the number of folders produced by the factory (in thousands) and the production costs (in thousand Euros), for six consecutive months Folders produced, (thousands) Production costs, C (thousand Euros) January February March 15 10 35 40 22 60 April (b) Write down, for this set of data (i) the mean number of folders produced, x ; (ii) the mean production cost, C. 30 72 May (c) Label the point M(x,C) on the scatter diagram. 19) Calculater by hand. (10) 28 68 June 21 (a) Draw a scatter diagram for this data. Use a scale of 2cm for 5000 folders on the horizont axis and 2 cm for 10 000 Euros on the vertical axis. 55
The manager of a folder factory recorded the number of folders produced by the factory (in thousands) and the production costs (in thousand Euros), for six consecutive months Folders produced, (thousands) Production costs, C (thousand Euros) January February March 15 10 35 40 22 60 April (b) Write down, for this set of data (i) the mean number of folders produced, x ; (ii) the mean production cost, C. 30 72 May (c) Label the point M(x,C) on the scatter diagram. 19) Calculater by hand. (10) 28 68 June 21 (a) Draw a scatter diagram for this data. Use a scale of 2cm for 5000 folders on the horizont axis and 2 cm for 10 000 Euros on the vertical axis. 55
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:The manager of a folder factory recorded the number of folders produced by the factory (in
thousands) and the production costs (in thousand Euros), for six consecutive months
Folders produced,
(thousands)
Production costs, C
(thousand Euros)
January February
15
35
March
22
April
30
(b) Write down, for this set of data
(i) the mean number of folders produced, x ;
(ii) the mean production cost, C.
72
May
28
68
June
21
55
(a) Draw a scatter diagram for this data. Use a scale of 2cm for 5000 folders on the horizont
axis and 2 cm for 10 000 Euros on the vertical axis.
(c) Label the point M(x, C) on the scatter diagram.
a) Calculate r by hand
(10)
(d) Use your graphie display calculator to find the Pearson's product-moment correlation
coefficient, r.
(e) State a reason why the regression line C on x is appropriate to model the relationship
between these variables.
* Line of best fit.
(f) Use your calculator to find the equation of the regression line C on x.
(g) Draw the regression line C on x on the scatter diagram.
Every month the factory sells all the folders produced. Each folder is sold for 2.99 Euros.
(h) Use the equation of the regression line to estimate the least number of folders that the
factory needs to sell in a month to exceed its production cost for that month.
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