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(1 point) Below is partial Excel output from a multiple regression: Regression S

ID: 3062720 • Letter: #

Question

(1 point) Below is partial Excel output from a multiple regression: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.4258 0.1813 0.1241 5.32 47 ANOVA df SS MS 269 1215 1484 F |Significance F 0.0335991 Regressiorn Residual Total 43 46 Intercept xl x2 x3 -0.199999999999 5.5 1.6 Coefficients Standard Error t Stat P-value 2.5 |-2.44 | 0.0189 2.2-0.09 0.9287 3.5-1.57 0.1237 3.8 -0.42 0.6766 Suppose that the hypothesis test below is carried out: H0 : 1 = 2 = 3 = 0 HAt least one nonzero Find the test statistic and the corresponding p-value Test Statistic (to 2 decimal values) = p-value (to 3 decimal values) =

Explanation / Answer

Solution-

Completed anova table would be-

F statistic for the test for the given hypothesis in the question = 3.1734

And p-value = P( F3,43 > 3.1734)

= 0.03359

As this is less than 0.05,hence we can conclude that null hypothesis is rejected and thus model is significant.

Answer

TY!

Source Sum of Square Degree of Freedom Mean Square F Between groups 269 3 89.6667 3.1734 Within Groups 1215 43 28.256 Total 46