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

ID: 3062764 • Letter: #

Question

(1 point) Below is partial Excel output from a multiple regression: Regression Statistic:s Multiple R R Square Adjusted R Square Standard Error Observations 0.4164 0.1734 0.1183 5.36 49 ANOVA F Significance F 0.0341465 df SS MS Regression Residual Total 45 48 271 1292 1563 Coefficients | Standard Errort Stat P-value 2.6 1.730.0905 2.4-1.580.1211 3.6 0.0008 2.6 0.12 0.905 4.5 -3.8 7.2 Intercept x1 x3 0.3 Suppose that the hypothesis test below is carried out: H1At 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

Ans:

MS(regression)=271/3=90.333

MS(residual)=1292/45=28.711

Test statistic

F=MS(regression)/MS(residual)=90.333/28.711=3.15

p-value=FDIST(3.15,3,45)=0.034

Complete the table:

DF SS MS F Significance F Regression 3 271 90.33333 3.146285 0.0341465 Residual 45 1292 28.71111 Total 48 1563