The table shows the number of blogs, in millions, in existence every six months. Mountib 1___7____13____19___25___31 Bolys 0,7__2_____4_____8___16___31 ​Using the calculator exponential regression tool, find a function that models the data.

ediculeN 2021-06-04 Answered
The table shows the number of blogs, in millions, in existence every six months.
Mountib 1___7____13____19___25___31
Bolys 0,7__2_____4_____8___16___31
​Using the calculator exponential regression tool, find a function that models the data.

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Expert Answer

sweererlirumeX
Answered 2021-06-05 Author has 12380 answers
Note: the steps for using your calculftor will vary based on the type of calculator you are using/ The following steps are for the Tl-83 and Tl-84 calculators.
1. Press STAT and then press ENTER.
2. Enter the data values for the months under L1 by typing the number, pressing enter, typing the next number, pressing enter, and so on. Then enter the corresponding blogs values under L2.
3. Press STAT, use the arrow key to go to the CALC menu, use the arrow key to scroll to ExpReg then press ENTER.
4. Press ENTER five times and then the calculator will show the walues of a and b of the regression.
The output from the calculator is shown below. Rounding the values of a and b to four significant digits gives a~0.7378 and b~1.131. The exponential model is then \(\displaystyle{y}={a}\cdot{b}^{{x}}={0.7348}{\left({1.131}\right)}^{{x}}\).
[Pic]
\(\displaystyle{y}={a}\cdot{b}^{{x}}\)
a=.7378289689
b=1.131179472
\(\displaystyle{r}^{{2}}={.993216496}\)
r=.9966024764
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