In a test for Lack-of-Fit the sample data had n = 25 total observations and k =

Question

In a test for Lack-of-Fit the sample data had n = 25 total observations and k = 5 distinct values of X. In testing the hypotheses: H_0: the linear model is adequate vs. H_a: higher order terms are needed The test statistic was found to be F = 0.43. What conclusion should be made in the test for Lack-of-Fit at alpha = 0.05? a) Reject H_0, there is evidence that higher order terms are needed in the model b) Do not reject H_0, there is not evidence that higher order terms are needed in the model c) Accept H_0 there is evidence that higher order terms are needed in the model d) Reject H_a, there is not evidence that higher order terms are needed in the model

Explanation / Answer

Solution:Its answer is B

First we need to calculate p-value form Ftest = 0.43, Df1 = 4, df2 = 20

from above values we found out p-value = 0.78526

here our alpha vlaue is = 0.05

which is less than 0.78526

So we Do not reject H0, there is not evidence that higher order terms are needed in the model.

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