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2 A statistical program is recommended. Charity Navigator is America's leading independent charity evaluator. The following data show the total expenses (95), the percentage of
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A statistical program is recommended. Charity Navigator is America's leading independent charity evaluator. The following data show the total expenses (95), the percentage of the total budget spent on administrative expenses, the percentage spent on fundraising, and the percentage spent on program expenses for 10 supersized charities. Administrative expenses include overhead, administrative staff and associated costs, and organizational meetings. Fundraising expenses are what a charity spends to raise money, and program expenses are what the charity spends on the programs and services it exists to deliver. The sum of the three percentages does not add to 100% because of rounding. Total Administrative Fundraising Program Charity Expenses Expenses Expenses Expenses (s) (\"/a) (\") (") A 3,354,177,445 3.9 3.3 92.1 B 1,205,887,020 4.0 7.5 88.3 C 1,080,995,083 23.5 2.6 73.7 D 1,050,829,851 0.7 2.4 96.8 E 1,003,781,897 6.1 22.2 71.6 F 929,158,968 8.6 1.9 89.6 G 877,321,613 13.1 1.6 H 854,604,824 0.4 0.7 I 829,662,076 9.6 16.9 J 736,176,619 13.7 3.0 83.1 (a) Develop a scatter diagram with fund raising expenses (\"/0) on the horizontal axis and program expenses (%) on the vertical axis. 120 120 12.0 H o O ._. a O H o O I . Program Expenses (9(1) 05 0 Program Expenses (96) at O Program Expenses (96) 05 D 4O 40 40 20 20 20 0 5 10 15 20 25 0 5 10 15 20 25 O 5 10 15 20 25 0 Fundraising Expenses (96) 0 Fundraising Expenses (96) (D Q Fundraising Expenses (9%) 120 g 100 o . 3 .1 o 2 so a O . O m 60 E 40 E: 20 E l l I I l 0 5 10 15 20 25 0 Fundraising Expenses (96) (D J Looking at the data, do there appear to be any outliers and/or inuential observations? Q There appear to be no possible outliers or influential observations. 0 There appears to be one possible outlier or influential observation. C) There appear to be two or more possible outliers and/or influential observations. J (b) (C) (d) Develop an estimated regression equation that could be used to predict program expenses (%) given fundraising expenses (%). (Round your numerical values to two decimal places.) y = 90.98 , 0.917x J Does the value for the slope of the estimated regression equation make sense in the context of this problem situation? O For every one percentage point increase in the amount spent on fundraising, the percentage spent on program expenses will decrease by the value of the slope found in part (b). The negative slope and value seem to make sense in the context of this problem situation. 0 For every one percentage point decrease in the amount spent on fundraising, the percentage spent on program expenses will decrease by the value of the slope found in part (b). The positive slope and value do not seem to make sense in the context of this problem situation. 0 For every one percentage point increase in the amount spent on fundraising, the percentage spent on program expenses will increase by the value of the slope found in part (b). The negative slope and value do not seem to make sense in the context of this problem situation. 0 For every one percentage point increase in the amount spent on fundraising, the percentage spent on program expenses will increase by the value of the slope found in part (b). The positive slope and value seem to make sense in the context of this problem situation. 6) For every one percentage point decrease in the amount spent on fundraising, the percentage spent on program expenses will decrease by the value of the slope found in part (b). The negative slope and value seem to make sense in the context of this problem situation. X Use residual analysis to determine whether any outliers and/or influential observations are present. (Select all that apply.) : harity C is a possible outlier because it has a large standardized residual (less than 2 or greater than +2). C Charity C is a possible influential observation because it has high leverage (greater than 6). C Charity E is a possible outlier because it has a large standardized residual (less than 2 or greater than +2). D Charity E is a possible influential observation because it has high leverage (greater than 6). Charity H is a possible outlier because it has a large standardized residual (less than 2 or greater than +2). Charity H is a possible influential observation because it has high leverage (greater than 6). There are no possible outliers present. C There are no possible influential observations present. Briefly summarize your ndings and conclusionsStep by Step Solution
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