math80.sample quiz4 - Answer: 427.2727 [million] b....

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wostner : math80 : exercises: linear interpolation copyright ©2006-2009 ulf wostner <[email protected]> wostner webcalc Linear Interpolation is a method that, for example, can help you estimate "missing" values in tables. The method is based on connecting two known points (x 0 , y 0 ) and (x 1 , y 1 ) with a straight line. Then, for a given x-value, it uses the line to find what y-value would make (x,y) be a point on the line. 1. The table below shows the US population in 1915 and 2006. year population [million] 1915 100 1967 2006 300 a. What population would you get for year 1967, using linear interpolation? Answer: 214.2857 [million] b. According to the US census the population in 1967 was 200 million. How big was our absolute error? How big was our relative error? Answer: absolute error: 14.2857, relative errror: 7.1428 percent. 2. The table below shows some actual US population figures. year population [million] 1967 200 2000 300 2042 a. Use linear extrapolation to estimate the population in year 2042.
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Unformatted text preview: Answer: 427.2727 [million] b. According to more advanced projections the US population in year 2042 will be 400 million. How big was our absolute error? How big was our relative error? Answer: Absolute error: 27.2727. Relative error: 6.8182 percent. 3. This table looks like it might be part of table of square roots. Use linear interpolation to estimate the missing y-value. x y 100 10 121 144 12 Answer: 10.9545 4. The Z-table in our textbook gives these two entries. Use linear interpolation to estimate the area when z=1.473. z area 1.47 0.9292 1.473 1.48 0.9306 Answer: 0.9296 5. The Z-table in our textbook gives these two entries. Use linear interpolation to estimate z when the area is 0.8000. area z 0.799 5 0.84 0.800 0.802 3 0.85 Answer: 0.8418 6. Use linear interpolation to estimate the missing y-value. x y 100 10 121 144 12 Answer: 10.9545 7. Use linear interpolation to estimate the missing y-value. x y 30 900 36 40 1600 Answer: 1320.0000...
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This note was uploaded on 04/01/2009 for the course MATH 80 taught by Professor Wostner during the Spring '09 term at City College of San Francisco.

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math80.sample quiz4 - Answer: 427.2727 [million] b....

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