2) The projected number of navigation systems (in millions) installed in vehicles in North America, Europe and Japan from 2012 to 2016 are shown in the following table Year 2012 2013 2014 2015 2016 Systems Installed 3.9 4.7 5.8 6.8 7.8 a) Draw a scatter diagram for this data. Use “Years since 2012” on the x-axis. Make sure the scatter diagram includes all required elements (axes labels, title, and appropriate scale) b) Use the points for 2013 and 2015 to find an equation of a line modeling this situation c) Use linear regression to find an equation of a line modeling this situation d) Use the equation in b to predict number of systems sold in 2018 and do this again for the equation in part c. What is the absolute and percentage difference between the two equations (use the equation in c as the base equation in the % calculation) e) Now use extrapolation using the last two data points to make a prediction for 2018 f) Which method, in your opinion, is optimal to use in this case
2) The projected number of navigation systems (in millions) installed in vehicles in North America,
Europe and Japan from 2012 to 2016 are shown in the following table
| Year | 2012 | 2013 | 2014 | 2015 | 2016 |
| Systems Installed | 3.9 | 4.7 | 5.8 | 6.8 | 7.8 |
a) Draw a
diagram includes all required elements (axes labels, title, and appropriate scale)
b) Use the points for 2013 and 2015 to find an equation of a line modeling this situation
c) Use linear regression to find an equation of a line modeling this situation
d) Use the equation in b to predict number of systems sold in 2018 and do this again for the equation in
part c. What is the absolute and percentage difference between the two equations (use the equation in
c as the base equation in the % calculation)
e) Now use extrapolation using the last two data points to make a prediction for 2018
f) Which method, in your opinion, is optimal to use in this case
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