Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015.

geduiwelh 2021-08-06 Answered

Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015.
\(\begin{matrix} {Year} & {Subscribers} & {Average Monthly}\\ { } & {(millions)} & {Revenue per Subscriber Unit ($)}\\ {2000} & {109.5} & {48.55}\\ {2001} & {128.4} & {49.79}\\ {2002} & {140.8} & {51.00}\\ {2003} & {158.7} & {51.55}\\ {2004} & {182.1} & {52.54}\\ {2005} & {207.9} & {50.65}\\ {2006} & {233.0} & {49.07}\\ {2007} & {255.4} & {49.26}\\ {2008} & {270.3} & {48.87}\\ {2009} & {285.6} & {47.97}\\ {2010} & {296.3} & {47.53}\\ {2011} & {316.0} & {46.11}\\ {2012} & {326.5} & {48.99}\\ {2013} & {335.7} & {48.79}\\ {2014} & {355.4} & {46.64}\\ {2015} & {377.9} & {44.65}\\ \end{matrix}\)
One of the scatter plots suggests a linear model. Use the points at t = 0 and t = 15 to find a model in the form y = mx + b.

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Expert Answer

Aniqa O'Neill
Answered 2021-08-07 Author has 22389 answers

The scatter plot for the subscribers suggests a linear model because the points appear to lie on a line.
Use \((t_1,y_1)=(0,109.5)\ and\ (t_2,y_2)=(15,377.9)\) to find the slope:
\(\displaystyle{m}=\frac{{{y}{2}-{y}{1}}}{{{t}{2}-{t}{1}}}=\frac{{{377.9}-{109.5}}}{{{15}-{0}}}\sim{17.9}\)
Since the y-intercept is the y-value, when t=0, we know that b=109.5 from the first point. So, the equation is: y=17.9t+109.5

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asked 2021-05-23

Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015.

\(\begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Monthly}\\ { } & \text{(millions)} & \text{Revenue per Subscriber Unit ()}\\ {2000} & {109.5} & {48.55}\\ {2001} & {128.4} & {49.79}\\ {2002} & {140.8} & {51.00}\\ {2003} & {158.7} & {51.55}\\ {2004} & {182.1} & {52.54}\\ {2005} & {207.9} & {50.65}\\ {2006} & {233.0} & {49.07}\\ {2007} & {255.4} & {49.26}\\ {2008} & {270.3} & {48.87}\\ {2009} & {285.6} & {47.97}\\ {2010} & {296.3} & {47.53}\\ {2011} & {316.0} & {46.11}\\ {2012} & {326.5} & {48.99}\\ {2013} & {335.7} & {48.79}\\ {2014} & {355.4} & {46.64}\\ {2015} & {377.9} & {44.65}\\ \end{matrix}\)

One of the scatter plots suggests a linear model. Use the points at t = 0 and t = 15 to find a model in the form y = mx + b.

asked 2021-06-11

Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015

. \(\begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Monthly}\\ \text{ } & \text{(millions)} & \text{Revenue per Subscriber Unit }\\ \text{2000} & \text{109.5} & \text{48.55}\\ \text{2001} & \text{128.4} & \text{49.79}\\ \text{2002} & \text{140.8} & \text{51.00}\\ \text{2003} & \text{158.7} & \text{51.55}\\ \text{2004} & \text{182.1} & \text{52.54}\\ \text{2005} & \text{207.9} & \text{50.65}\\ \text{2006} & \text{233.0} & \text{49.07}\\ \text{2007} & \text{255.4} & \text{49.26}\\ \text{2008} & \text{270.3} & \text{48.87}\\ \text{2009} & \text{285.6} & \text{47.97}\\ \text{2010} & \text{296.3} & \text{47.53}\\ \text{2011} & \text{316.0} & \text{46.11}\\ \text{2012} & \text{326.5} & \text{48.99}\\ \text{2013} & \text{335.7} & \text{48.79}\\ \text{2014} & \text{355.4} & \text{46.64}\\ \text{2015} & \text{377.9} & \text{44.65}\\ \end{matrix}\)

One of the scatter plots suggests a linear model. Use the points at t = 0 and t = 15 to find a model in the form y = mx + b.

asked 2021-08-14

Table shows the number of cellular phone subscribers in the United States and their average monthly bill in the years from 2000 to 2010.
\(\begin{matrix}\text{Year}&\text{Subscribers}&\text{Average Local}\\ \text{ }\ &\text{(millions)}&\text{Monthly Bill (\$)}\\ \text{2000}&\text{109.5}&\text{45.27}\\ \text{2001}&\text{128.4}&\text{47.37}\\ \text{2002}&\text{140.8}&\text{48.40}\\ \text{2003}&\text{158.7}&\text{49.91}\\ \text{2004}&\text{182.1}&\text{50.64}\\ \text{2005}&\text{207.9}&\text{49.98}\\ \text{2006}&\text{233.0}&\text{50.56}\\ \text{2007}&\text{255.4}&\text{49.79}\\ \text{2008}&\text{262.7}&\text{50.07}\\ \text{2009}&\text{276.6}&\text{48.16}\\ \text{2010}&\text{300.5}&\text{47.21}\\ \end{matrix}\)
One of the scatter plots clearly suggests a linear model. Use the points at t = 10 and t = 20 to find a model in the form y=mx+b.y=mx+b.

asked 2021-08-16

Table shows the number of cellular phone subscribers in the United States and their average monthly bill in the years from 2000 to 2010.
\(\begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Local}\\ \text{ } & \text{(millions)} & \text{Monthly Bill ()}\\ \text{2000} & \text{109.5} & \text{45.27}\\ \text{2001} & \text{128.4} & \text{47.37}\\ \text{2002} & \text{140.8} & \text{48.40}\\ \text{2003} & \text{158.7} & \text{49.91}\\ \text{2004} & \text{182.1} & \text{50.64}\\ \text{2005} & \text{207.9} & \text{49.98}\\ \text{2006} & \text{233.0} & \text{50.56}\\ \text{2007} & \text{255.4} & \text{49.79}\\ \text{2008} & \text{262.7} & \text{50.07}\\ \text{2009} & \text{276.6} & \text{48.16}\\ \text{2010} & \text{300.5} & \text{47.21}\\ \end{matrix}\)
In 1995 There were 33.8 million subscribers with an average local monthly bill of $51.00. Add these points to the scatter plots. Do the 1995 points match well with the trends in the rest of the data?

asked 2021-08-10

Table shows the number of cellular phone subscribers in the United States and their average monthly bill in the years from 2000 to 2010.
\(\begin{matrix}\text{Year}&\text{Subscribers}&\text{Average Local}\\ \ \text{ }\ &\text{(millions)}&\text{Monthly Bill (\$)}\\ \text{2000}&\text{109.5}&\text{45.27}\\ \text{2001}&\text{128.4}&\text{47.37}\\ \text{2002}&\text{140.8}&\text{48.40}\\ \text{2003}&\text{158.7}&\text{49.91}\\ \text{2004}&\text{182.1}&\text{50.64}\\ \text{2005}&\text{207.9}&\text{49.98}\\ \text{2006}&\text{233.0}&\text{50.56}\\ \text{2007}&\text{255.4}&\text{49.79}\\ \text{2008}&\text{262.7}&\text{50.07}\\ \text{2009}&\text{276.6}&\text{48.16}\\ \text{2010}&\text{300.5}&\text{47.21}\\ \end{matrix}\)
One of the scatter plots clearly suggests a linear model. Use the points at \(t = 10\) and \(t = 20\) to find a model in the form \(y=mx+b\).

asked 2021-08-13

The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006.

\(\begin{matrix} Year&2000&2001&2002&2003&2004&2005&2006\\ R_1&52.5&65.3&76.5&87.6&102.1&113.5&125.5 \end{matrix}\)
(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.
(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is \(\displaystyle{R}{2}={6}+{13}+{13},{9}^{{0.14}}{t}\). What is the difference in total service revenues between the two models for the years 2010 through 2015?

asked 2021-06-13

The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006. Year 2000 2001 2002 2003 2004 2005 2006 R1 52.5 65.3 76.5 87.6 102.1 113.51 25.5
(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.
(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is \(\displaystyle{R}{2}={6}+{13}+{13},{9}^{{0.14}}{t}\). What is the difference in total service revenues between the two models for the years 2010 through 2015?

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