Question

please find the degrees of freedom,critical values, correlation coefficient, and test statistic as well.

Homework: Section 9.1 Homework Sa Score: 0 of 1 pt 6 of 8 (6 complete) HW Score: 67.86%, 8.14 of 12 X 9.1.33 Assigned Media Question Help The weights (in pounds) of 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 significantlinear correlation between vehicle weight and variability in braking distance on a dry surface? Use a 0.01 Weight, 5980 5320 6500 5100 5830 4800 Variability in 1.73 1.95 1.92 1.65 1.66 braking distance, y 1.50 Setup the hypothesis for the test. Нор 0 Hg:p 0 Click to select your answer(s) and then click Check Answer. 3 parts remaining Clear All Check Answer

Answer 1

Pape Me Date: To find, corretation coef (2) Covex,y) Exiyi-nñ ox.sy Exinn ². Jeyi? - nx hence, from data given in Question EXiyi = 584922 = 18935170 a - 18.2099 1.735 n=6 SS88.33 2 by = 0.17236 COVcx, 4) = 282 68 52.94 6x = 628.4717 B com (2) 0.586465 = Now, To test, Ho : p=0 H: 8+o Our We have, ges statistics, run- a tn-z at 6-2 05 4 degree of freedom 1.448006 value of test statistics at 1% at ty table value = 4.604 lovel of significance, because we have two side test. dest statichior cth table valus

we have in sufficent evidance to reject     

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Hance we conclude that , not a linear correlaation between vehicle weight (x) and variability in breaking distance (y).

our critical value here is 0.5%, as we have two side test