Suppose that you fitted the model E(y) = ?0 + ?1x1 + ?2x2 + ?3x3 to 15 data points and found F equal to 58.88. Do the data provide sufficient evidence to indicate that the model contributes information for the prediction of y? Test using a 5% level of significance. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3 = 0 Ha: At least one of ?1, ?2, ?3 is not 0.H0: ?1 = ?2 = ?3 = 0 Ha: ?1 > ?2 > ?3 > 0 H0: ?1 < ?2 < ?3 Ha: ?1 = ?2 = ?3 = 0H0: ?1 = ?2 = ?3 Ha: At least one of ?1, ?2, ?3 is different from the others.H0: ?1 > ?2 > ?3 > 0 Ha: ?1 = ?2 = ?3 = 0 What is the test statistic? F = Find the rejection region. (Round your answer to two decimal places.) F > State your conclusion. H0 is rejected. There is insufficient evidence to indicate that the model contributes information for the prediction of y.H0 is not rejected. There is insufficient evidence to indicate that the model contributes information for the prediction of y. H0 is not rejected. There is sufficient evidence to indicate that the model contributes information for the prediction of y.H0 is rejected. There is sufficient evidence to indicate that the model contributes information for the prediction of y.
Suppose that you fitted the model
E(y) = ?0 + ?1x1 + ?2x2 + ?3x3
to 15 data points and found F equal to 58.88.
Do the data provide sufficient evidence to indicate that the model contributes information for the prediction of y? Test using a 5% level of significance.
State the null and alternative hypotheses.
H0: ?1 = ?2 = ?3 = 0
Ha: At least one of ?1, ?2, ?3 is not 0.H0: ?1 = ?2 = ?3 = 0
Ha: ?1 > ?2 > ?3 > 0 H0: ?1 < ?2 < ?3
Ha: ?1 = ?2 = ?3 = 0H0: ?1 = ?2 = ?3
Ha: At least one of ?1, ?2, ?3 is different from the others.H0: ?1 > ?2 > ?3 > 0
Ha: ?1 = ?2 = ?3 = 0
What is the test statistic?
F =
Find the rejection region. (Round your answer to two decimal places.)
F >
State your conclusion.
H0 is rejected. There is insufficient evidence to indicate that the model contributes information for the prediction of y.H0 is not rejected. There is insufficient evidence to indicate that the model contributes information for the prediction of y. H0 is not rejected. There is sufficient evidence to indicate that the model contributes information for the prediction of y.H0 is rejected. There is sufficient evidence to indicate that the model contributes information for the prediction of y.
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