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Multiple Regression Analysis Was Used to Study the Relationship Between β\beta

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Multiple regression analysis was used to study the relationship between a dependent variable, Y, and four independent variables; X1, X2, X3 and, X4. The following is a partial result of the regression analysis involving 31 observations.  Multiple regression analysis was used to study the relationship between a dependent variable, Y, and four independent variables; X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub> and, X<sub>4</sub>. The following is a partial result of the regression analysis involving 31 observations.    a.Compute the coefficient of determination. b.Perform a t test and determine whether or not  \beta <sub>1 </sub>is significantly different from zero ( \alpha  = 0.05). c.Perform a t test and determine whether or not  \beta <sub>4</sub>is significantly different from zero ( \alpha  = 0.05). d.At  \alpha  = 0.05, perform an F test and determine whether or not the regression model is significant.
a.Compute the coefficient of determination.
b.Perform a t test and determine whether or not β\beta 1 is significantly different from zero ( α\alpha = 0.05).
c.Perform a t test and determine whether or not β\beta 4is significantly different from zero ( α\alpha = 0.05).
d.At α\alpha = 0.05, perform an F test and determine whether or not the regression model is significant.

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