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Calculate the coefficient of determination

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Reference no: EM132905038

Consider the following set of ordered pairs.x y

2 3 5 3 4

3 4 11 6 7

Calculate the coefficient of determination and test its significance using α=0.05.

ANOVA

d.f. SS MS F

Regression 1 35.569

Error 3 3.231

Total 4 38.8

The coefficient of determination.

R2=0.917

The null and alternative hypotheses.

H0?: ρ2≤0

H1?: ρ2>0

Determine the critical? F-score, Fα.

Fα=10.128

The? F-score for this test

F=33.026

Determine the correct conclusion.

A. Reject H0. There does not appear to be a relationship between x and y.

B. Reject H0. There appears to be a relationship between x and y.

C. Do not reject H0. There appears to be a relationship between x and y.

D. Do not reject H0. There does not appear to be a relationship between x and y.

Reference no: EM132905038

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