Compute the multiple coefficient of determination (b)  Perform a t-test and determine whether or not b1 is significantly different from zero (alpha = .05) (c) perform a t-test and determine whether or not b4 is significantly different from zero (alpha = .05) (d) at alpha = .05, perform an F test and determine whether or not the regression model is significant

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Regression analysis question:

Multiple regression analysis was used to study the relationship between a dependent variable, y, and four independent variables. 31 observations. Partial table given below.

                coefficients     standard error

intercept    18.00             6.00

x1               12.00            8.00

x2               24.00             48.00

x3               -36.00            36.00

x4               16.00              2.00

 

ANOVA                 df                 SS                  MS

regression                                                       125

error

total                                       760

(a)  Compute the multiple coefficient of determination

(b)  Perform a t-test and determine whether or not b1 is significantly different from zero (alpha = .05)

(c) perform a t-test and determine whether or not b4 is significantly different from zero (alpha = .05)

(d) at alpha = .05, perform an F test and determine whether or not the regression model is significant.

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