A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitable commitment, a nonprofit organization commitment to its charitable purpose. Two independent variables under consideration are Revenue, a measurement of total revenue, in billions of dollars, as a measure of nonprofit size X₁ and Efficiency, a measurement of the percent of private donations remaining after fundraising expenses as a measure of nonprofit fundraising efficiency X2. The dependent variable Y is Commitment, a measurement of the percent of total expenses that are allocated directly to charitable services. Data are collected from a random sample of 98 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the table of results. a. Construct 95% confidence interval estimates of the population slope between commitment and revenue and between commitment and efficiency. The 95% confidence interval estimate of the population slope between commitment and revenue is ☐ ≤ẞ₁ ≤ ☐ (Round to two decimal places as needed.) Table of results Variable Coefficients Standard Error T Statistic p-Value Intercept 11.653205 7.193802 1.62 0.1086 Revenue 0.6616463 0.321093 2.06 0.0421 Efficiency 0.8032287 0.077833 10.32 <0.0001 Print Done - X
A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitable commitment, a nonprofit organization commitment to its charitable purpose. Two independent variables under consideration are Revenue, a measurement of total revenue, in billions of dollars, as a measure of nonprofit size X₁ and Efficiency, a measurement of the percent of private donations remaining after fundraising expenses as a measure of nonprofit fundraising efficiency X2. The dependent variable Y is Commitment, a measurement of the percent of total expenses that are allocated directly to charitable services. Data are collected from a random sample of 98 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the table of results. a. Construct 95% confidence interval estimates of the population slope between commitment and revenue and between commitment and efficiency. The 95% confidence interval estimate of the population slope between commitment and revenue is ☐ ≤ẞ₁ ≤ ☐ (Round to two decimal places as needed.) Table of results Variable Coefficients Standard Error T Statistic p-Value Intercept 11.653205 7.193802 1.62 0.1086 Revenue 0.6616463 0.321093 2.06 0.0421 Efficiency 0.8032287 0.077833 10.32 <0.0001 Print Done - X
Chapter1: Role Of Accounting In Society
Section: Chapter Questions
Problem 7Q: Use the internet to research one for-profit, one governmental, and one not-for-profit entity. For...
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Transcribed Image Text:A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitable commitment, a nonprofit organization commitment to its charitable purpose. Two independent variables
under consideration are Revenue, a measurement of total revenue, in billions of dollars, as a measure of nonprofit size X₁ and Efficiency, a measurement of the percent of private donations remaining after
fundraising expenses as a measure of nonprofit fundraising efficiency X2. The dependent variable Y is Commitment, a measurement of the percent of total expenses that are allocated directly to charitable
services. Data are collected from a random sample of 98 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) and (b) below.
Click the icon to view the table of results.
a. Construct 95% confidence interval estimates of the population slope between commitment and revenue and between commitment and efficiency.
The 95% confidence interval estimate of the population slope between commitment and revenue is ☐ ≤ẞ₁ ≤ ☐
(Round to two decimal places as needed.)
Table of results
Variable
Coefficients
Standard Error T Statistic
p-Value
Intercept
11.653205
7.193802
1.62
0.1086
Revenue
0.6616463
0.321093
2.06
0.0421
Efficiency
0.8032287
0.077833
10.32
<0.0001
Print
Done
- X
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