Question

x	0	4	5	6
y	49	43	33	26

Complete parts, given Σx = 15, Σy = 151, Σx² = 77, Σy² = 6015, Σxy = 493, and r ≈ −0.906.

a) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r =

b) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

x	= ___
y	= ____
	= ____ +	____ x

c) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

r2 =	___
explained	___%
unexplained	___ %

d) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.)
______ %

Answer 1

a) all the values are verified and are correct.