5. The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 a) Using Desmos or another curve modelling program, determine an equation that can be used to model this data. 2343 2230 2113 2178 2495 2496 2538 2518 b) Using this model, estimate the number of diagnoses in 1996 and in 2007. c) At what rate would the number of diagnoses be changing in 2006? d) Halfway through 2006, the number of new HIV diagnoses was found to be 1232. Assuming this rate stays fairly constant for the remainder of the year, does this new information change the modelling equation? If so, how would this change your answer to part (c)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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5. The following table displays the number of HIV diagnoses per year in a particular country.
Year
1997
1998
1999
2000
2001
2002
2003
2004
2005
Diagnoses 2512
a) Using Desmos or another curve modelling program, determine an equation that can be used to model this data.
2343
2230
2113
2178
2495
2496
2538
2518
b) Using this model, estimate the number of diagnoses in 1996 and in 2007.
c)
At what rate would the number of diagnoses be changing in 2006?
d) Halfway through 2006, the number of new HIV diagnoses was found to be 1232. Assuming this rate stays fairly
constant for the remainder of the year, does this new information change the modelling equation? If so, how
would this change your answer to part (c)?
Transcribed Image Text:5. The following table displays the number of HIV diagnoses per year in a particular country. Year 1997 1998 1999 2000 2001 2002 2003 2004 2005 Diagnoses 2512 a) Using Desmos or another curve modelling program, determine an equation that can be used to model this data. 2343 2230 2113 2178 2495 2496 2538 2518 b) Using this model, estimate the number of diagnoses in 1996 and in 2007. c) At what rate would the number of diagnoses be changing in 2006? d) Halfway through 2006, the number of new HIV diagnoses was found to be 1232. Assuming this rate stays fairly constant for the remainder of the year, does this new information change the modelling equation? If so, how would this change your answer to part (c)?
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