Question

Show Work Question Help Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) x 10 8 13 19 T 11 T 14 16 14 | y 7.46 6.77 12.74 7.12 7.81 8 .84 6.09 5.39 12 8.15 7 6.42 5 5.73 = Click here to view a table of critical values for the correlation coefficient a. Construct a scatterplot. Choose the correct graph below. OA OB. 638 12 16 06 12 16 '12' 16 0612 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= . (Round to three decimal places as needed.)

show work

Answer 1

Solutioni Ase the gillen chla Get to Complete pook @ through ② below Rozwired information is gilces by X310, 6, 3.911 1611,12,115 7.016, 6:11, 10.19, 1.0), 481, 8.81, 6.01,5.99) 3-15 ,642, -- hole lo cow the Harulor from my ensing Oila, Chala 1 100 146 64 54.16 7.lib 6.77 19.74 712 4.81 169 165.62 81 647.08 121 85.91 8.84 196 103.76 55.6516 (15.8029 162.30-76 50.69414 60.2961 +8.1456 Q7.0881 29.0531 B0.1025 411.2164 32.8329 6.09 16 36. 54 16 21.56 5.39 8.95 1414 101.4 44.94 28.65 6:42 U9 5.73 95 Ex=992Y-(83.63 Ex= 1001 cy: 673. F207-03 Geculori Cscotho Hole @ Corostruct a a16 to obtained the scatter plot by casing gilla Cala is, le bo

There for oplim © its core clearlver. Find the Correlation coefficiel's we have to oblained Correlation coeficient by carcia COEFP Cient by cusing gilcom Cbla is, Gore -Comelalion coefficioglies, nsxy - Ex.xTY) nox(x)*]x["2y?- (y)"} (1x 801.00) -- [ 99 X 83.33) - (99JVC (H.V 6-13.9202-83.0)) Mer-21001 -

68-19.612 -52618.68] Marion - 9801] * C1410.1222 forkl o goon) 630.19 V12 lo v Cito.8999 63019 V569788.758 630.74 754.843 = 0.83559 ( - .835 ) herefors Correlation -Coefficient, v=C0.834] @cing the Cider Comelation coefficint: We have to obtained the rcritice clue is, (feres -) Critical = [dzdf-n-n] -tlo.06/2 1df=11-2) - Co.005, 9) -T0.602 the r-Critice and a to is We have to Compored - We have to fers

r- r-critice 0-836 0.602 - Pérect to herefore, There its Cufficient evidence to Cippor the claim Correlation between the two Koriables. option ® is correct answer: of a linear © adentify the feature of the data that would ! ve hace to explained by the Gaatt.plot it, feres > abe Gcatter plot does not coveel a perfect Straight-line pattern. Therefore, option © its correct an ouer.