(25 points) The following table compares U. S. population (millions) with U. S. per-capita consumption of bottled water (gallons).
[Source: Bureau of the Census, Statistical Abstract of the United States 2009, pp. 10, 134.]
Year
x=U. S.Population y=Per-Capita Consumption of Bottled Water
2002
287.9 million
20.1 gallons
2003
290.4
21.6
2004
293.2
23.2
2005
295.9
25.5
2006
298.8
27.6
1. (10 points) Determine the least-squares regression line and the value of r.
2. (5 points) Compute a 95% confidence interval for mean of the per capita
consumption of bottl water, given the U. S. population is 320 million.
3. (5 points) Compute a 95% prediction interval for an individual observation of
per capita consumption of bottled water, given the U. S. population is 320
million.
4. (5 points) Compare the confidence interval and prediction interval. Which one is
wider? And why?
You may use the critical values as below: t(0.025,3)= 3.182446, t(0.025,4)=2.776445.

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step-by-step explanation: ; )

whats the question?

step-by-step explanation:

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.