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a. State the multiple regression equation. ₁ =+ x₁ + x2i (Round to two decimal places as needed.)

a. State the multiple regression equation. ₁ =+ x₁ + x2i (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
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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 99 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. Ŷ₁ = + X₁₁ + x2i (Round to two decimal places as needed.) Table of results Variable Intercept Revenue Efficiency Coefficients 10.884592 0.6979138 0.8470845 Print Standard Error 7.120425 0.321499 0.077161 T Statistic 1.53 2.17 10.98 Done p-Value 0.1296 0.0324 <0.0001
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 99 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. Ŷ₁ = + X₁₁ + x2i (Round to two decimal places as needed.) Table of results Variable Intercept Revenue Efficiency Coefficients 10.884592 0.6979138 0.8470845 Print Standard Error 7.120425 0.321499 0.077161 T Statistic 1.53 2.17 10.98 Done p-Value 0.1296 0.0324 <0.0001
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