Question

Listed below are repair costs (in dollars) for cars crashed at 6 mi/h in full-front crash tests and the same cars crashed at 6 mi/h in full-rear crash tests (based on data from the insurance Institute for Highway Safety). The cars are the Toyota Camry, Mazda 6, Volvo S40, Saturn Aura, Subaru Legacy, Hyundai Sonata, and Honda Accord. Construct a scatterplot, and find the value of the linear correlation coefficient Also find the value or the critical values of from Table A-6 (page 732) using Is there sufficient evidence to support a claim that there is a linear correlation between the repair costs from full-front crashes and full-rear crashes? Front 936 978 2252 1032 3911 4312 3469 Rear 1480 1202 802 3191 1122 739 2767 r = -0.283, critical values: r = +0.754, P value: 0.539. there is not sufficient evidence to support the claim O r = 0.834, critical values: r = + 0.878, P-value: 0.004, there is sufficient evidence to support the claim r = -0.283, critical values: r = 0.878, P-value: 0.0011, there is sufficient evidence to support the claim r = -0.166, critical values: r = 0.811, P value: 0.28, there is not sufficient evidence to support the claim r = 0.707, critical values: r = 0.878, P-value: 0.062, there is not sufficient evidence to support the claim

Answer 1

Here n= 7 X у X- y-у (x-x)2 (y-7) (x-3)(y-y) 936 978 2252 1032 3911 4312 3469 1480 1202 802 3191 1122 739 2767 -1476.8571-134.7143 2181107.0204 -1434.8571-412.7143 2058815.0204 -160.8571 -812.7143 25875.0204 - 1380.8571 1576.2857 1906766.4490 1498.1429-492.7143 2244432.0204 1899.1429-875.7143 3606743.5918 1056.1429 1152.28571115437.7347 18147.9388 170333.0816 660504.5102 2484676.6531 242767.3673 766875.5102 1327762.3673 198953.7551 592186.0408 130730.8980 -2176625.3878 -738156.3878 -1663106.5306 1216978.3265 Total 16890 11303 13139176.8571 -2439039.2857 5671067.4286 SST x =(x)/n = (16890/7) = 2412.85714285714 y =(Ey)/n = (11303/7) = 1614.71428571429 1 = E(x-2)(y- v) VE (x-7) /E(y=1)? -2439039.2857/sqrt(13139176.8571*5671067.4286) = -0.283

DF = n-2 = 7-2 = 5

df -N-2 .05 1 2 3 4 Level of significance for a one-tailed test .05 .025 .01 .005 Level of significance for a two-tailed test .10 .02 .01 .988 .997 .9995 .9999 .900 .950 .980 .990 .805 .878 .934 .959 .729 .811 .882 .917 .669 .754 .833 .874 .622 .707 .789 .834 -582 .666 .750 .798 .549 .632 .716 .765 .521 .602 .685 .735 497 .576 .658 .708 .360 .423 .492 .537 .296 .349 .409 .449 Гоол 8 9 10 20 30

Ans:

r = -0.283, critical values: r = +0.754, P-value: 0.539. there is not sufficient evidence to support the claim