Question

the accompanying table contains data on the number of individuals with broadband access and gross domestic product (gdp) for 32 nations. let x represent gdp (in billions of u.s. dollars) and y = number of broadband users in (millions). complete parts a through c below.
click the icon to view the table.
a. the graph on the right shows a scatter - plot. describe this plot in terms of the association between broadband subscribers and gdp.
a. for countries with gdp more than $5000 billion, there is a clear trend in that countries with larger gdp have a smaller number of broadband subscribers
b. for countries with gdp less than $5000 billion, there is a clear trend in that countries with larger gdp have a larger number of broadband subscribers
c. for countries with gdp less than $5000 billion, there is a clear trend in that countries with larger gdp have a smaller number of broadband subscribers
d. for countries with gdp more than $5000 billion, there is a clear trend in that countries with larger gdp have a larger number of broadband subscribers
b. give the approximate x - and y - coordinates for the nation that has the highest number of broadband subscribers.
(8278,176159233)
(type an ordered pair. round the x - coordinate to the nearest thousand and the y - coordinate to the nearest ten million. do not use commas in the individual coordinates.)
c. use software to calculate the correlation coefficient between the two variables.
r = (round to two decimal places as needed.)

Explanation:

Step1: Analyze scatter - plot for part a

By observing the scatter - plot, for countries with GDP less than $5000$ billion, as GDP increases, the number of broadband subscribers also increases.

Step2: Identify coordinates for part b

The coordinates for the nation with the highest number of broadband subscribers are given as an ordered pair. We just need to round as required. Rounding $8278$ to the nearest thousand gives $8000$, and assuming the $y$ - value $176159233$ rounded to the nearest ten - million gives $176000000$. So the ordered pair is $(8000,176000000)$.

Step3: Calculate correlation coefficient for part c

Since we are not actually using software here to calculate the correlation coefficient $r$, we can't provide a numerical value. But in general, the formula for the correlation coefficient $r$ between two variables $x$ and $y$ with sample sizes $n$, means $\bar{x},\bar{y}$, standard deviations $s_x,s_y$ and covariance $s_{xy}$ is $r=\frac{s_{xy}}{s_xs_y}$.

Answer:

a. C. For countries with GDP less than $5000$ billion, there is a clear trend in that countries with larger GDP have a larger number of broadband subscribers
b. $(8000,176000000)$
c. Cannot be calculated without software