State the multiple regression equation. - 11.75 + (0.69 ) ×, + ( 0.84) X2, ound to two decimal places as needed.) Interpret the meaning of the slopes, b, and b,. Choose the correct answer below. terpret the meaning of the slope b,. Select the correct choice below and fill in the answer box within your choice. 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 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.) O C. The slope b, cannot be interpreted individually.

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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 X, and Efficiency, a measurement of the percent of private donations remaining after fundraising expenses as a measure of nonprofit fundraising efficiency X,. The dependent variable Y i
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 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.
P; = 11.75 + (0.69) X-i + ( 0.84) X2
(Round to two decimal places as needed.)
b. Interpret the meaning of the slopes, b, and b,. Choose the correct answer below.
Interpret the meaning of the slope b,. 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.)
%.
O 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 slope b, 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 X, and Efficiency, a measurement of the percent of private donations remaining after fundraising expenses as a measure of nonprofit fundraising efficiency X,. The dependent variable Y i 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 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. P; = 11.75 + (0.69) X-i + ( 0.84) X2 (Round to two decimal places as needed.) b. Interpret the meaning of the slopes, b, and b,. Choose the correct answer below. Interpret the meaning of the slope b,. 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.) %. O 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 slope b, cannot be interpreted individually.
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