a) Using the data above for Cook\'s D and DFFITS, discuss (F(0.5, 4, 42)=0.85).

Question

a) Using the data above for Cook's D and DFFITS, discuss (F(0.5, 4, 42)=0.85).

b) Which of the observations for Cook's D and DFFITS are influential?

Y x1 x2 x3 predicted_y cookd_y diffits_y 48 50 51 2.3 47.88706664 2.90E-06 0.003365392 57 36 46 2.3 66.0796538 0.015699012 -0.250205733 66 40 48 2.2 61.97621421 0.001604332 0.079305897 70 41 44 1.8 67.99068468 0.002139423 0.091451232 89 28 43 1.8 83.27364295 0.009608143 0.194527199 36 49 54 2.9 39.62056778 0.005484993 -0.14660726 46 42 50 2.2 58.80898199 0.014998929 -0.246996349 54 45 48 2.4 53.57412234 3.94374E-05 0.012409704 26 52 62 2.9 32.65969815 0.030349421 -0.346472767 77 29 50 2.1 74.99695231 0.000647816 0.050320039 89 29 48 2.4 71.83991188 0.076567834 0.568819997 67 43 53 2.4 53.64732472 0.014484304 0.243140986 47 38 55 2.2 61.16540806 0.054123688 -0.472136428 51 34 51 2.3 66.15285618 0.020178921 -0.288892901 57 53 54 2.2 44.48323463 0.075306609 0.554322557 66 36 49 2 68.79468997 0.001001951 -0.062609433 79 33 56 2.5 62.39041408 0.10513344 0.665736971 88 29 46 1.9 79.459002 0.01280037 0.22564297 60 33 49 2.1 70.87250919 0.010479143 -0.205259294 49 55 51 2.4 40.83199108 0.028015128 0.333767209 77 29 52 2.3 71.41891115 0.00703079 0.166353621 52 44 58 2.9 43.56060997 0.032346294 0.358895854 60 43 50 2.3 56.32035382 0.001176276 0.067884177 86 23 41 1.8 89.86571071 0.006711882 -0.162220199 43 47 53 2.5 47.73386101 0.002624352 -0.101509995 34 55 54 2.5 38.15896198 0.00546843 -0.146459074 63 25 49 2 81.35242028 0.086662399 -0.608739745 72 32 46 2.6 66.60505223 0.020194019 0.281996576 57 32 52 2.4 66.64705929 0.015453678 -0.248559272 55 42 51 2.7 51.63189613 0.003046051 0.109220429 59 33 42 2 75.31355534 0.098804244 -0.64441289 83 36 49 1.8 71.48872261 0.045285499 0.428074486 76 31 47 2 75.38675773 4.59051E-05 0.013388989 47 40 48 2.2 61.97621421 0.022224323 -0.303009053 36 53 57 2.8 35.07512393 0.000270735 0.032517582 80 34 49 2.2 68.38388102 0.009596369 0.196815026 82 29 48 2.5 70.49289556 0.051365211 0.45600803 64 30 51 2.4 69.37228725 0.005828548 -0.151415503 37 47 60 2.4 45.9868475 0.053840157 -0.463926743 42 47 50 2.6 47.71285748 0.008405912 -0.181938302 66 43 53 2.3 54.99434104 0.012282446 0.222316502 83 22 51 2 83.8932473 0.000423741 -0.040681364 37 44 51 2.6 50.69568876 0.032080366 -0.362555091 68 45 51 2.2 54.94214219 0.023814805 0.311603405 59 37 53 2.1 64.53804475 0.006399528 -0.158696762 92 28 46 1.8 81.94763017 0.024702013 0.314681047 23 6E0NE097 26047619 95 ,7148305E82 0015688012 00670579345-0250205733 10388788251 61sx274aos 119e1277 9ssro63 ooons04#17 0037170o745 0co oses63 10243202427 18 6784S84 194204061 925asanan o 1194m 0153510E379 00914512316 10 SST163 29 39005E7781 3cosm5 938st19974 0005484ee31 01205766842 -Q14660726 10sascosa3 toesnses 1 777sees5 9MOdas as 0014ssessa 0couu9954-024eosa9 1022seocos2 53574122305 275asason 96721141 0 0394374 00752443135 00124097041 1042961 003C3494207 0 19425a5134 24 tmn1st 23%79ame ta22 003ssetos 00879923732 0%#thN9 10421122 24 sas47a4718 1s7ossz92 9901400163 00144843043 000ataess2 02431409es 10.212063563 61195408064 30227529576 oos4123sa79 -0 135428 6ssassets tma77282 9sas11es4 00201788214 00332179e67-020aa2901 10223760799 8.7549aessi 21gasee5301 981BORNes 00010019507 00471329723-0ES9433 10.292mT701 25aut32 9ms0121344 0012SOO3ESS 00024170774 022SM290% 10.36mas45 24 40831991083 1611478ESS3 9MO2304366 002s015127s 012a3235058 0x37572082 1068670442s 7141891115 2803551017 1317 969804528S 0 166353821 10441387233 29 43sooms 372usast38 9.34417568t3 00323462S42 0130 562 0.3sassa544 10.72437072 8999570 08 1tioa354 935cosus62 0.0067118818 01257513526 -Q162220199 107189491 25 sse1973 3.22712023a& 952sac22182 0 40842% 0102sec3025-0140489074 10.56301 174G 81352420G8 233a1013 9611 oowE23094 0 0210513-0GOF 74S 1042562K22 27 St63taseto1 30f7MT7,547w7271 000004605070 ess a10ea20428 10.5oenat162 75JT25SS042 3“19072775 9450722002 009SS0430S 0112105447-05444120e 1063cena7 71an2sos 1masan547 94906420912 004sassess 01096309911 04a07u864 109M873311 22 $13762142OS tnes61217 9sesTXX3 00222240229 00371709745-030xcsos3 10243202427 350 stanas 322monp 9525 eN95 000ca70735 01030397935 0coa5179a21 10563450007 24 ss3322s 247 2czaacs42 9ssuerao37 000542s5475 00705e92295-0151419903 1040en5137 45acar 42"NoTA2S 91025507073 0053840156 01INGng01-04m5743 10300202074 2%a8026104 96110470795 00084058119 00868958646-0181 544341Dgr 1 330249 98651477831 02212ueSS D03 ssnes 022aTer 10aems12 54942142187 22631961907 977739 002381AD49 00509 0.mwcs 10mac 35 34 50 36 41 28 49 42 52 29 29 43 38 34 S3 36 33 2955 29 44 43 23 47 55 25 42 36 31 40 S3 34 29 47 47 43 22 44 45 37 28 48 5770 36 4G 54 26 7767 47 51 57 66 79 88 60 49 77 52 60 43 34 72 57 55 59 76 47 8242 GG 83 37 68 59 92

Explanation / Answer

a) f =0.85 which is clearly above all the values of cook's d and DFFITS. By this method there is no influential observation

b) cook's d threshold is 4/n. n = 46. cook's d threshold is 0.0897

when y = 79, x1- 33, x2-56,x3-2.5 and

y = 59, x1-33,x2-42, x3-2

these 2 observations have significant leverage as their cook's d is greater than threshold. These 2 are influential observations

DFFITIS = 2 Sqrt [ (p+1)/ (n-p+1) ] = 0.6172

For those same 2 observations, the leverage on the regression equation will be influential. they are influential observations.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.