MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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2) 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 95 nonprofit​organizations, with the results provided in the accompanying table. Complete parts​ (a) through​ (c) below.

 

a. State the multiple regression equation. Yi =----+--) X1+_---) X2; (round two decimal places as
needed) (fill in the blanks)
b. Interpret the meaning of the slopes, bl 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.
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 asneeded.) (fill in the blank)
B) Holding revenue constant, for each increase of 19% inefficiency, 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.) (fill in the blank)
C) The slope b1 cannot be interpreted individually.
Interpret the meaning of the slope b2. Select the correct choice below and fill in the answer box within
your choice.
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.) (fill in the blank)
B.Holding revenue constant, for each increase of 1% inefficiency, 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.) (fill in the blank)
C.The slopes b2 cannot be interpreted individually.
c. What conclusions can you reach concerning nonprofit charitable commitment?
A. The model uses both revenue and efficiency to predict nonprofit charitable commitment.
B. The model uses revenue to predict nonprofit charitable commitment. The efficiency only affects the
revenue directly.
C. The model uses efficiency to predict nonprofit charitable commitment. The revenue only affects the
efficiency directly.
D. The nonprofit charitable commitment can be predicted using either revenue or efficiency, but not both.
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Transcribed Image Text:a. State the multiple regression equation. Yi =----+--) X1+_---) X2; (round two decimal places as needed) (fill in the blanks) b. Interpret the meaning of the slopes, bl 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. 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 asneeded.) (fill in the blank) B) Holding revenue constant, for each increase of 19% inefficiency, 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.) (fill in the blank) C) The slope b1 cannot be interpreted individually. Interpret the meaning of the slope b2. Select the correct choice below and fill in the answer box within your choice. 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.) (fill in the blank) B.Holding revenue constant, for each increase of 1% inefficiency, 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.) (fill in the blank) C.The slopes b2 cannot be interpreted individually. c. What conclusions can you reach concerning nonprofit charitable commitment? A. The model uses both revenue and efficiency to predict nonprofit charitable commitment. B. The model uses revenue to predict nonprofit charitable commitment. The efficiency only affects the revenue directly. C. The model uses efficiency to predict nonprofit charitable commitment. The revenue only affects the efficiency directly. D. The nonprofit charitable commitment can be predicted using either revenue or efficiency, but not both.
Standard
Variable
Coefficients
Error
T Statistic
p-Value
10.314881
7.180372
1.44
0.1542
Intercept
Revenue
0.6681713
0.320563
2.08
0.0399
Efficiency
0.8259588
0.077197
10.70
<0.0001
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Transcribed Image Text:Standard Variable Coefficients Error T Statistic p-Value 10.314881 7.180372 1.44 0.1542 Intercept Revenue 0.6681713 0.320563 2.08 0.0399 Efficiency 0.8259588 0.077197 10.70 <0.0001
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