Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A statistical program is recommended. Charity Navigator is America's leading independent charity evaluator. The following data show the total expenses ($), the percentage of the

image text in transcribedimage text in transcribedimage text in transcribed
A statistical program is recommended. Charity Navigator is America's leading independent charity evaluator. The following data show the total expenses ($), the percentage of the total budget spent on administrative expenses, the percentage spent on fundraising, and the percentage spent on program expenses for 10 supersized charities. Administrative expenses include overhead, administrative staff and associated costs, and organizational meetings. Fundraising expenses are what a charity spends to raise money, and program expenses are what the charity spends on the programs and services it exists to delivei The sum of the three percentages does not add to 100% because of rounding. Total Admlnlstratlve Fundralslng Program Charlty Expenses Expenses Expenses Expenses ($) (\"/o) (%) (/o) A 3,354,177,445 3.9 3.8 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 71.4 F 929,158,968 8.6 1.9 89.6 G 877,321,613 13.1 1.6 85.2 H 854,604,824 0.4 0.7 98.8 I 829,662,076 9.6 16.9 73.4 J 736,176,619 13.7 3.0 83.1 (a) Develop a scatter diagram with fundraising expenses (%) on the horizontal axis and program expenses (%) on the vertical axis. 1207 120 120- 100 100 100 80 80 80 Program Expenses (%) 60 Program Expenses (%) 60 Program Expenses (%) 60 40 40 40 20+ 20 20 0 5 10 15 20 25 0 5 10 15 20 25 0 5 10 15 20 25 O Fundraising Expenses (%) Fundraising Expenses (%) Fundraising Expenses (%) 120 100 t. 80 Program Expenses (%) 60 40 20 5 10 15 20 25 Fundraising Expenses (%) O Looking at the data, do there appear to be any outliers and/or influential observations? There appear to be no possible outliers or influential observations. There appears to be one possible outlier or influential observation. There appear to be two or more possible outliers and/or influential observations.(b) Develop an estimated regression equation that could be used to predict program expenses (%) given fundraising expenses (%). (Round your numerical values to two decimal places.) )7 = 90.98 0.9lx x (c) Does the value for the slope of the estimated regression equation make sense in the context of this problem situation? 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. 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. ' 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. ' 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. ' 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. (d) Use residual analysis to determine whether any outliers and/or inuential observations are present. (Select all that apply.) Charity C is a possible outlier because it has a large standardized residual (less than 2 or greater than +2). Charity C is a possible inuential observation because it has high leverage (greater than 6). Charity E is a possible outlier because it has a large standardized residual (less than 2 or greater than +2). Charity E is a possible inuential 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). T Charity H is a possible influential observation because it has high leverage (greater than 6). T There are no possible outliers present. There are no possible inuential observations present. Briey summarize your ndings and conclusions. \\\\

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Precalculus, Enhanced

Authors: Cynthia Y Young

3rd Edition

1119339510, 9781119339519

More Books

Students also viewed these Mathematics questions

Question

Find dy/dx if x = te, y = 2t2 +1

Answered: 1 week ago