t = ( round to three deciman places as needed ) The weights (in pounds) of 6 veh

Question

t = ( round to three deciman places as needed )

The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant near correlation between vehicle weight and variability in braking distance on a dry surface? Use alpha = 0.05. Click here to view a table of critical values for Students t-distribution. Setup the hypothesis for the test. H_0: rho = 0 H_a: rho notequalto 0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical values are - t_0 = and to t_0 =. B. The critical value is .

Explanation / Answer

from above r =(Sxy/(SSx*SSy)1/2) =0.6255

here degree of freedom =n-2=4

critical value of are -2.776 ; 2.776

t stat =r*((n-2)/(1-r2))1/2 = 1.6033

x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 5960.00 1.79 135669.44 0.00 327.70 1.801282 0.00012729 5360.00 1.97 53669.44 0.06 1259.19 1.693311 0.07655674 6500.00 1.88 825069.44 0.02 942.25 1.898456 0.00034064 5100.00 1.58 241736.11 0.02 -790.23 1.646524 0.00442539 5830.00 1.69 56802.78 0.00 -262.27 1.777889 0.0077244 4800.00 1.50 626736.11 0.06 -1127.59 1.592538 0.00856327 Total 33550.00 10.41 1939683.33 0.16 349.05 0.09773774 mean 5591.67 1.74 SSx Ssy Sxy

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