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The following output was obtained. Analysis of variance SOURCE DF SS MS Regression 5 100 20 Residual Error 20 40 2 Total 25 140 Predictor

The following output was obtained.

Analysis of variance
SOURCEDFSSMS
Regression510020
Residual Error20402
Total25140

PredictorCoefficientSE Coefficientt
Constant3.001.502.00
X14.003.001.33
X23.000.2015.00
X30.200.054.00
X4–2.501.00–2.50
X53.004.000.75

a.What is the sample size?

Sample size

b.

Compute the value of R2(Round your answer to 4 decimal places.)

Coefficient of determination, R2

c.

Compute the multiple standard error of estimate. (Round your answer to 4 decimal places.)

Multiple standard error of estimate

Conduct a global test of hypothesis H0: β1 = β2 = β3 = β4 = β5 = 0; H1: Not all β's are 0 at the .05 significance level.

d-1.

State the decision rule. (Round your answer to 2 decimal places.)

Reject H0 if F >

d-2.

What is the computed value of F? (Round your answer to 1 decimal place.)

Value of F

d-3.

Determine whether any of the regression coefficients are significant.

(Click to select)RejectAccept H0. At least one regression coefficient is (Click to select)zeronot zero.

e-1.

What is the decision rule for individual regression coefficients? Use the .05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

H0 is rejected in each case if t < or t > .

e-2.

Which variables would you consider eliminating?

(Click to select)X1 and X5X2 and X3X3 and X4X1 and X2

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