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Multiple Regression Analysis Was Used to Study How an Individual's α\alpha

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Multiple regression analysis was used to study how an individual's income (Y in thousands of dollars) is influenced by age (X1 in years), level of education (X2 ranging from 1 to 5), and the person's gender (X3 where 0 =female and 1=male). The following is a partial result of a computer program that was used on a sample of 20 individuals.  Multiple regression analysis was used to study how an individual's income (Y in thousands of dollars) is influenced by age (X<sub>1</sub> in years), level of education (X<sub>2</sub> ranging from 1 to 5), and the person's gender (X<sub>3</sub> where 0 =female and 1=male). The following is a partial result of a computer program that was used on a sample of 20 individuals.    a.Compute the coefficient of determination. b.Perform a t test and determine whether or not the coefficient of the variable  level of education  (i.e., X<sub>2</sub>) is significantly different from zero. Let  \alpha  = 0.05. c.At  \alpha  = 0.05, perform an F test and determine whether or not the regression model is significant. d.As you note the coefficient of X<sub>3</sub> is -0.510. Fully interpret the meaning of this coefficient.
a.Compute the coefficient of determination.
b.Perform a t test and determine whether or not the coefficient of the variable "level of education" (i.e., X2) is significantly different from zero. Let α\alpha = 0.05.
c.At α\alpha = 0.05, perform an F test and determine whether or not the regression model is significant.
d.As you note the coefficient of X3 is -0.510. Fully interpret the meaning of this coefficient.


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