Question

Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 39% of all fatal accidents of 17-year-olds are due to speeding.

x	17	27	37	47	57	67	77
y	39	25	19	12	10	7	5

Complete parts (a) through (d), given

Σx = 329, Σy = 117, Σx² = 18,263, Σy² = 2825, Σxy = 4029, and r ≈ −0.942.

(a) 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

(b) 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	%

c) Predict the percentage of all fatal accidents due to speeding for 35-year-olds. (Round your answer to two decimal places.)
%

(d)Use a calculator to verify that

x = 63,

x² = 1079,

y = 640,

y² = 91,738,

and

xy = 9,677.

Compute r. (Round your answer to three decimal places.)

PLEASE WRITE THE ANSWER CLEAR

Answer 1

a)

c)

b) coefficient of determination = r^2
Here r ≈ −0.942
r^2 = (−0.942)^2 = 0.887364 ≈ 0.887
Coefficient of determination = 0.887

explained : 89%
unexplained : 100% - 89% = 11%

d) correlation formula given by follows

r = 0.950

PL??