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Multiple Regression Analysis Was Used to Study the Relationship Between α\alpha

Question 54

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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.At  \alpha  = 0.05, perform an F test and determine whether or not the regression model is significant. c.Perform a t test and determine whether or not  \beta <sub>1</sub> is significantly different from zero ( \alpha  = 0.05). d.Perform a t test and determine whether or not  \beta <sub>4</sub> is significantly different from zero ( \alpha  = 0.05).
a.Compute the coefficient of determination.
b.At α\alpha = 0.05, perform an F test and determine whether or not the regression model is significant.
c.Perform a t test and determine whether or not β\beta 1 is significantly different from zero ( α\alpha = 0.05).
d.Perform a t test and determine whether or not β\beta 4 is significantly different from zero ( α\alpha = 0.05).

Correct Answer:

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a.0.6579
b.F = 12.5 > 2.74; si...

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