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The following table shows the total spent on research and development by industry in a country, in billions of dollars, for the period 2002-2012.

The following table shows the total spent on research and development by industry in a country, in billions of dollars, for the period 2002-2012.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The following table shows the total spent on research and development by industry in a country, in billions of dollars, for the period 2002-2012. Year t (years since 2000) 3 4 8 10 11 12 Spending ($ billion) 194 196 196 206 217 229 236 224 221 234 245 Find the logarithmic regression model of the form S(t) = A In(t) + C with coefficients A and C rounded to two decimal places. S(t) = Obtain a graph showing the data points and the regression curve. S(t) S(t) S(t) S(t) 250아 250 250 250 240- 240 240 240 230 230 230 230 220 220 220 220 210 210 210 210 200 200 200 200 12 6. 8 10 12 14 2 4 6 10 12 14 6. 8 10 12 14 12 6. 8. 10 12 14 In which direction is it more reasonable to extrapolate the model? Why? O Extrapolating in the negative direction is more reasonable because it results in a prediction of ever-decreasing R&D expenditures by industry in the past. Extrapolating in the positive direction eventually leads to negative values, which do not model reality. O Extrapolating in the negative direction is more reasonable because it results in a prediction of negative R&D expenditures by industry in the past. Extrapolating in the positive direction eventually leads to ever-increasing values, which do not model reality. Extrapolating in the positive direction is more reasonable because it results in a prediction of ever-increasing R&D expenditures by industry in the future. Extrapolating in the negative direction eventually leads to negative values, which do not model reality. O Extrapolating in the positive direction is more reasonable because it results in a prediction of decreasing R&D expenditures by industry in the future. Extrapolating in the negative direction eventually leads to negative values, which do not model reality. Need Help? Read It
Transcribed Image Text:The following table shows the total spent on research and development by industry in a country, in billions of dollars, for the period 2002-2012. Year t (years since 2000) 3 4 8 10 11 12 Spending ($ billion) 194 196 196 206 217 229 236 224 221 234 245 Find the logarithmic regression model of the form S(t) = A In(t) + C with coefficients A and C rounded to two decimal places. S(t) = Obtain a graph showing the data points and the regression curve. S(t) S(t) S(t) S(t) 250아 250 250 250 240- 240 240 240 230 230 230 230 220 220 220 220 210 210 210 210 200 200 200 200 12 6. 8 10 12 14 2 4 6 10 12 14 6. 8 10 12 14 12 6. 8. 10 12 14 In which direction is it more reasonable to extrapolate the model? Why? O Extrapolating in the negative direction is more reasonable because it results in a prediction of ever-decreasing R&D expenditures by industry in the past. Extrapolating in the positive direction eventually leads to negative values, which do not model reality. O Extrapolating in the negative direction is more reasonable because it results in a prediction of negative R&D expenditures by industry in the past. Extrapolating in the positive direction eventually leads to ever-increasing values, which do not model reality. Extrapolating in the positive direction is more reasonable because it results in a prediction of ever-increasing R&D expenditures by industry in the future. Extrapolating in the negative direction eventually leads to negative values, which do not model reality. O Extrapolating in the positive direction is more reasonable because it results in a prediction of decreasing R&D expenditures by industry in the future. Extrapolating in the negative direction eventually leads to negative values, which do not model reality. Need Help? Read It
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