(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.

Which expression is equivalent to? assume x > 0 and y > 0.

What is the result of adding the system of equations? 2x+y=4 3x-y=6

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)