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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. b. Interpret the meaning of the slopes, b₁ and b₂. Choose the correct answer below. Interpret the meaning of the slope b₁. Select the correct choice below and fill in the answer box within your choice. O A. 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.) OB. 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.)

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. b. Interpret the meaning of the slopes, b₁ and b₂. Choose the correct answer below. Interpret the meaning of the slope b₁. Select the correct choice below and fill in the answer box within your choice. O A. 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.) OB. 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.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. b. Interpret the meaning of the slopes, b₁ and b₂. Choose the correct answer below. Interpret the meaning of the slope b₁. Select the correct choice below and fill in the answer box within your choice. 1. O A. 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.) B. 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.) O C. The slope b₁ 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. b. Interpret the meaning of the slopes, b₁ and b₂. Choose the correct answer below. Interpret the meaning of the slope b₁. Select the correct choice below and fill in the answer box within your choice. 1. O A. 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.) B. 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.) O C. The slope b₁ cannot be interpreted individually.
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
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It is given that 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.

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