a. State the multiple regression equation. Yi -*C---) 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 bl. 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 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 slope bl 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 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 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.
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.
2) A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitablecommitment, a nonprofit organization commitment to its charitable purpose. Two independent variables under consideration areRevenue, 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 nonprofitorganizations, with the results provided in the accompanying table. Complete parts (a) through (c) below.
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