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 X, 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 directh to charitable services. Both variables X2 and Y are encoded as percents. Data are collected from a random sample of 98 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) through (c) below. | Click the icon to view the table of results. a. State the multiple regression equation. (Round to two decimal places 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 X, 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 directh to charitable services. Both variables X2 and Y are encoded as percents. Data are collected from a random sample of 98 nonprofit organizations, with the results provided in the accompanying table. Complete parts (a) through (c) below. | Click the icon to view the table of results. a. State the multiple regression equation. (Round to two decimal places as needed.)

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Standard
Variable
Coefficients
Error
T Statistic
p-Value
Intercept
11.144293
7.196818
1.55
0.1248
Revenue
0.6787574
0.321135
2.11
0.0372
Efficiency
0.8446421
0.077995
10.83
<0.0001

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 X, 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 X, and Y are encoded as percents. Data are collected from a random sample of 98 nonprofit organizations, with
the results provided in the accompanying table. Complete parts (a) through (c) below.
E Click the icon to view the table of results.
a. State the multiple regression equation.
(Round to two decimal places as needed.)

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