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The Chart Shows the Number of Research Articles in the Prominent

Question 68

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The chart shows the number of research articles in the prominent journal Physics Review that were written by researchers in Europe during 1983 - 2003 ( t=0 represents 1983)
 Year, t05101520 Research Articles, A(1,000)1.22.13.85.15.7\begin{array} { | l | l | l | l | l | l | } \hline \text { Year, } \boldsymbol { t } & 0 & 5 & 10 & 15 & 20 \\\hline \text { Research Articles, } \boldsymbol { A } ( \mathbf { 1 } , \mathbf { 0 0 0 } ) & 1.2 & 2.1 & 3.8 & 5.1 & 5.7 \\\hline\end{array}
a. What is the logistic regression model for the data (Round all coefficients to two significant digits.)
A(t)=____1+____.(____)tA(t)=\frac{\_\_\_\_}{1+\_\_\_\_ ^. (\_\_\_\_)^{-t}}
b. At what value does the model predict that the number of research articles will level off

__________ articles
b.c. According to the model, how many Physics Review articles were published by U.S. researchers in 1990 ( t=7)

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a. 6.3; 4....

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