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Regression Statistics Multiple R 0.4415 R Square 0.1949 Adjusted R Square 0.14 Standard Error 5.28 Observations 48 ANOVA df SS MS F Significance F Regression 3 297 0.0218565 Residual 44 1227 Total 47 1524 Coefficients Standard Error t Stat P-value Intercept -7.4 3.9 -1.9 0.064 x1 -6.3 3.4 -1.85 0.071 x2 5.4 3.5 1.54 0.1307 x3 2.6 3.5 0.74 0.4632 Suppose that the hypothesis test below is carried out: H0 : ??1 = ??2 = ??3 = 0 H1 : At least one nonzero Find the test statistic and the corresponding p-value. Test Statistic = p-Value =

          Regression Statistics
Multiple R 0.4415
R Square 0.1949
Adjusted R Square 0.14
Standard Error 5.28
Observations 48

ANOVA
df SS MS F Significance F
Regression 3 297 0.0218565
Residual 44 1227
Total 47 1524

Coefficients Standard Error t Stat P-value
Intercept -7.4 3.9 -1.9 0.064
x1 -6.3 3.4 -1.85 0.071
x2 5.4 3.5 1.54 0.1307
x3 2.6 3.5 0.74 0.4632

Suppose that the hypothesis test below is carried out:
H0 : ??1 = ??2 = ??3 = 0
H1 : At least one nonzero

Find the test statistic and the corresponding p-value.

Test Statistic =
p-Value =

Show more…

Regression Statistics
Multiple R 0.4415
R Square 0.1949
Adjusted R Square 0.14
Standard Error 5.28
Observations 48

ANOVA
df SS MS F Significance F
Regression 3 297 0.0218565
Residual 44 1227
Total 47 1524

Coefficients Standard Error t Stat P-value
Intercept -7.4 3.9 -1.9 0.064
x1 -6.3 3.4 -1.85 0.071
x2 5.4 3.5 1.54 0.1307
x3 2.6 3.5 0.74 0.4632

Suppose that the hypothesis test below is carried out:
H0 : ??1 = ??2 = ??3 = 0
H1 : At least one nonzero

Find the test statistic and the corresponding p-value.

Test Statistic =
p-Value =

Added by Samuel J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

07/12/2023

Step 1

The hypothesis test is testing whether at least one of the coefficients (81, 82, or 83) is nonzero. This is a test of overall significance of the regression model. Show more…

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Regression Statistics Multiple R 0.4415 R Square 0.1949 Adjusted R Square 0.14 Standard Error 5.28 Observations 48 ANOVA df SS MS F Significance F Regression 3 297 0.0218565 Residual 44 1227 Total 47 1524 Coefficients Standard Error t Stat P-value Intercept -7.4 3.9 -1.9 0.064 x1 -6.3 3.4 -1.85 0.071 x2 5.4 3.5 1.54 0.1307 x3 2.6 3.5 0.74 0.4632 Suppose that the hypothesis test below is carried out: H0 : ̂̑1 = ̂̑2 = ̂̑3 = 0 H1 : At least one nonzero Find the test statistic and the corresponding p-value. Test Statistic = p-Value =

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