A researcher wanted to determine if there was a relationship between new home sales (X) and appliance sales (Y) so data were gathered from 12 cities from the previous 6 months (so 12 data points total). The sum of the new home sales data is 27,475 and when each home sale value is squared and then summed, the resulting sum is 71,956,679. The sum of the appliance sales data is 4,327 and when each of the appliance sale value is squared and then summed, the resulting sum is 1,658,229. The sum(XY) ... each X data point multiplied by its corresponding Y and then summed ... is 10,577,323. Using this information, calculate SSxx, SSyy, SSxy, the slope of the regression line, the standard error of the slope and construct a 99% confidence interval for the true (unobservable) population slope. Data for this problem are expressed in millions.

The answer is "choice E"

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, the choice E is correct because follows the following series:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5