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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. Both variables X₂ and Y are encoded as percents. Data are collected from a random sample of 97 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) through (c) below. Interpret the meaning of the slope b₂. Select the correct choice below and fill in the answer box within your choice. OA. Holding revenue constant, for each increase of 1% in efficiency, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) OB. Holding efficiency constant, for each increase of $1 billion in revenue, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) OC. The slopes b₂ cannot be interpreted individually.

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. Both variables X₂ and Y are encoded as percents. Data are collected from a random sample of 97 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) through (c) below. Interpret the meaning of the slope b₂. Select the correct choice below and fill in the answer box within your choice. OA. Holding revenue constant, for each increase of 1% in efficiency, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) OB. Holding efficiency constant, for each increase of $1 billion in revenue, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) OC. The slopes b₂ cannot be interpreted individually.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Table of results Variable Intercept Revenue Efficiency Coefficients 11.680464 0.6999226 0.8029396 Print Standard Error 7.132097 0.321328 0.077201 T Statistic 1.64 2.18 10.40 Done p-Value 0.1048 0.0319 <0.0001 X ons of dollars, as a measure of nonp sure of nonprofit fundraising efficienc haritable services. Both variables X₂ d in the accompanying table. Comple
Transcribed Image Text:Table of results Variable Intercept Revenue Efficiency Coefficients 11.680464 0.6999226 0.8029396 Print Standard Error 7.132097 0.321328 0.077201 T Statistic 1.64 2.18 10.40 Done p-Value 0.1048 0.0319 <0.0001 X ons of dollars, as a measure of nonp sure of nonprofit fundraising efficienc haritable services. Both variables X₂ d in the accompanying table. Comple
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. Both variables X₂ and Y are encoded as percents. Data are collected from a random sample of 97 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) through (c) below. Interpret the meaning of the slope b2. Select the correct choice below and fill in the answer box within your choice. O A. Holding revenue constant, for each increase of 1% in efficiency, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) B. Holding efficiency constant, for each increase of $1 billion in revenue, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) OC. The slopes b₂ cannot be interpreted individually.
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. Both variables X₂ and Y are encoded as percents. Data are collected from a random sample of 97 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) through (c) below. Interpret the meaning of the slope b2. Select the correct choice below and fill in the answer box within your choice. O A. Holding revenue constant, for each increase of 1% in efficiency, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) B. Holding efficiency constant, for each increase of $1 billion in revenue, the mean percent of a nonprofit organization's total expenses that are allocated directly to charitable services is predicted to increase by %. (Round to the nearest integer as needed.) OC. The slopes b₂ cannot be interpreted individually.
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