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)348101112Spending ($ billion)194196196206217229236224221234245Find 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)250아250250250240-240240240230230230230220220220220210210210210200200200200126.81012142461012146.8101214126.8.101214In 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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Description: 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)348101112Spending ($ billion)194196196206217229236224221234245Find the logarithm

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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.

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Concept explainers

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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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.
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