197 Cose Problem Alumni Giving case Problem Alumni Giving BostonCollege. Brandeis UniversitY Brown Universiry Catifomia Institute of Technology Camegie Mellon UniversitY Case Western Reserve Univ....

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Please follow and answer the questions in the "Managerial Report" in the PDF file, using the data in the Excel file. Please show all work in the excel file.


197 Cose Problem Alumni Giving case Problem Alumni Giving BostonCollege. Brandeis UniversitY Brown Universiry Catifomia Institute of Technology Camegie Mellon UniversitY Case Western Reserve Univ. College ol William and MarY Columbia UniversitY Cornell Universiry Dartmouth College Duke UniversitY Emory University Georgetown UniversitY Harvard UniversitY Johns Hopkins Uni versitY Lehigh University Massachusetts lnstitute of Technology New York Universiry Northwestem UniversitY Pennsylvania State Univ. Princeton UniversitY Rice University Stanford UniversitY Tufts University Tulane UniversitY Universiry of Califomia- Berkeiey University of Calilornia-Davi s University of California-Irvine Universiry of Califomi a- Los Angeles U niversity of Californi a- San Diego 25 -1J 40 46 28 31 27 31 35 53 45 3i7 29 46 u 40 44 13 30 2t 6't 40 34 ,29 17 18 7 9 13 t3 '8 8 .3r. 10 8 12 '1 13 10 8 7 10 8 9 11 6 13 I 19 5 I 7 9 12 t7 19 20 l8 39 68 60 65 6l: s2, 45 69 '/2 6i 68 6) 54 73 64 t5 65, 63 .66' 32 68 62 69 6:1 56 58 32 42 4L 48 85 7g' . 93 B5 is 72 89 90 9t 94 92 84 91. 9',7 89 81 92 72 90 80 95 92 92 87 72 83 74 74 78 State MA MA RI CA NY L PA NJ TX CA MA LA CA CA CA CA Alumni donations are an important source of revenue for colleges and universities. If admin- isffators could determine the factors that could lead to increases in the percentage of alumni who make a donation, they might be able to implement policies that could lead to increased revenues. Research shows that students who are more satisfied with their contact with teachers are more Likely to graduate. As a result, one might suspect that smaller class sizes and lower stu- dent/faculty ratios-might lead to a higher percentage of satisfied graduates, which in tum might lead to incieases in the percentage of alumni who make a donation. The following table shows data for 4g national universities. The Graduation Rate column is the percentage of students who initially enrolled at the university and graduated. The % of Classes Under 20 column shows the p"r""rrug", of classes offered with fewer than 20 students. The Student/Faculty Ratio column L the number of students enrolled divided by the total number of faculty' Finally, the Alumni Giving Rate column is the percentage of alumni who made a donation to the universify' , , i%:of, ''Studenfl Afupqi Grailuation, Classes' ''l Faculty Gjving . Ratel ' Under20,'' , .Ratio I Rate PA OH VA NY NY NH NC GA DC. MA MB PA MA 19.8 (continued) Chopter 4 Lineor Regression Univsr-r.i1y ol Crli lornia_ Santa Barbara University of Chicago University of Floricla University of Illinois_ Urbana Charnpaign University of Michigan_ Ann Arbor Universiry ol Nonh Carolina_ Chapel Hill University of Notre Dame University of pennsylvania University o1, Rochester University of Southem Califomia University of Texas_Austin University of Virginia University of Washington University of Wisconsin_ Madison Vanderbilt University Wake Forest Univers:ity Washington University-St. Louis Yale University _ Graduation ,,!f?r:[: tJ*.#y t,Xffi,State Rate U"a". ZO 'Riit,r, RatecA704520|2 FIGURE 4.38 L84 FL 67 L77 MI 83 NC 82 IN ol PA 90 NY 76 cA 70 TX VA WA WI TN NC MO CT 66 92 10 13 82 82 86 94 65 31 29 51 40 53 65 63 53 39 41 37 37 68 59 t3 77 4 ti i5 l-5 t6 13 7 l0 13 21 13 12 13 9 ll l 7 Jf) 19 23 l3 )A 49 1t 23 22 13 28 12 13 31 38 33 50 Monogeriol Report 1. Use methods of descriptive statistics to summarize the data.2. Develop fln eslinrared simple lir"u;,;;;;:ion rnor-lel rhar r.an be used ro pretlicr rhealumni givinr rate. giren rhe graduar ion rare. Dircur, lour finding:.3' Derctop an.rri*rria m.urripr-e rir;;,:;;e;rrion moder rhar courjbe ured ro precricrthe alumni giving rare using ihe c.rarutri, Rare, 7o of crasr., u;;; 20,,.ndStudent/Faculty Ratio as independent variables. Discuss your findings.4' Based on the results in parh 2 and 3, do y", .,.ri"* urotrr".-.f."ssion model may bemore appropriate ? Estimate this moder, and <.liscuss yor. ..rurt?-- --' t hi;j,il[:]:]':th,11,:':o,,,.nou,io,jj",.ro, derive r,-om your analysis? what expected,gi,.n*"r"eiffi:?'ff [:,il:ir:r,:i:tr1:ffi a jjf ,,,lh,h::lrrratio? whar universfties are achieuing u'r.,ur,";;;,;r;oi,.".;;#lgiving rare rhanwould be expected, given their graduafion nr,", z, of classes untter 20, and student/faculty ratio ? what other independent "".iutr". coul yor.="" ..rurt?--="" --'="" t="" hi;j,il[:]:]':th,11,:':o,,,.nou,io,jj",.ro,="" derive="" r,-om="" your="" analysis?="" what="" expected,gi,.n*"r"eiffi:?'ff="" [:,il:ir:r,:i:tr1:ffi="" a="" jjf="" ,,,lh,h::lrrratio?="" whar="" universfties="" are="" achieuing="" u'r.,ur,";;;,;r;oi,.".;;#lgiving="" rare="" rhanwould="" be="" expected,="" given="" their="" graduafion="" nr,",="" z,="" of="" classes="" untter="" 20,="" and="" student/faculty="" ratio="" what="" other="" independent="" "".iutr".="">
Answered Same DaySep 06, 2021

Answer To: 197 Cose Problem Alumni Giving case Problem Alumni Giving BostonCollege. Brandeis UniversitY Brown...

Pooja answered on Sep 12 2021
152 Votes
1
        Graduation Rate    % of Classes Under 20    Student-Faculty Ratio    Alumni Giving Rate
    Mean    83.0416666667    55.7291666667    11.5416666667    29.2708333333
    Standard Error    1.2423376263    1.9043482307    0.700150904    1.9400911142
    Median    83.5    59.5    10.5    29
    Mode    92    65    13    13
    Standard Deviation    8.6071675558    13.1937115636    4.850787755    13.4413455243
    Sample Variance    74.0833333333    174.0740248227    23.530141844    180.6697695035
    Kurtosis    -1.1039054974    -0.9566154673    -0.4403375376    -0.0719420087
    Skewness    -0.2822786091    -0.5006127946    0.5818384932    0.3701067387
    Range    31    48    20    60
    Minimum    66    29    3    7
    Maximum    97    77    23    67
    Sum    3986    2675    554    1405
    Count    48    48    48    48
2
    SUMMARY OUTPUT
    Regression Statistics
    Multiple R    0.7559435914
    R Square    0.5714507133
    Adjusted R Square    0.5621344245
    Standard Error    8.894328114
    Observations    48
    ANOVA
        df    SS    MS    F    Significance F
    Regression    1    4852.4618270788    4852.4618270788    61.3388789378    0.0000000005
    Residual    46    3639.0173395879    79.1090725997
    Total    47    8491.4791666667
        Coefficients    Standard Error    t Stat    P-value    Lower 95%    Upper 95%    Lower 95.0%    Upper 95.0%
    Intercept    -68.7611827777    12.5826557253    -5.4647591318    0.000001821    -94.0887551098    -43.4336104455    -94.0887551098    -43.4336104455
    Graduation Rate    1.1805159993    0.1507314789    7.8319141299    0.0000000005    0.8771092689    1.4839227298    0.8771092689    1.4839227298
3
    SUMMARY OUTPUT
    Regression Statistics
    Multiple R    0.836624531
    R Square    0.6999406058
    Adjusted R Square    0.6794820108
    Standard...
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