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. 17 y 39 27 37 23 47 12 x 57 67 7 77 22 10 Complete parts (a) through (e), given Ex 329, Ey 118, E-18,263, Ey-2852, Exy 4086, and rm -0.939. (a) Draw a scatter diagram displaying the data P Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Verify the given sums Ex, Ey, E, Ey, Exy and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex Ey Exy- (e) Find x, and y. Then find the equation of the least-squares ine y-a+ bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) y=

Answer 1

Answer :-

(a) Scatter Plot:-

X VS y 0 10 20 30 40 50 60 70 80 90

(b).

Obs.	x	y	x2	y2	xy
1	17	39	289	1521	663
2	27	23	729	529	621
3	37	22	1369	484	814
4	47	12	2209	144	564
5	57	10	3249	100	570
6	67	7	4489	49	469
7	77	5	5929	25	385
SUM =	329	118	18263	2852	4086

Ano (b): Ex= 329 EY= 118 (from above table) 2x2 = 18263 EY2 = 28.52 Exy = 4086 n=7 ne xy) HEXEY) Vin Ex? -(7x)?] [n 42. -12)2] (78 4086) -( 3298 118) [7x 18263) – 3292] [[7x 2 852) - 11827 Yo _-10220 1088 0.441 r= -0.9397 Tel.x= y. 327 47 1:47 y= V1 = 16.857 (5 = 16.067 | $ - 9 + bx be Exyn . 40 86 - (4x 47 x 16.86) Iyone? 10263- 478 472) 16= -0.522] az 9 - 68 = 16.06-{-0.522) * 47} = 41.394 a = 41.394. 9:41.394 - 0.522 X7 ---0-5217