For a given data set containing 18 points, the assumptions of the linear model are satisfied The following values are computed b1 5 58 and sb 4 42 Perform a test of the hypothesis H0 1 0 versus H1 1 0 Use the 0 05 level of significance Can you conclude that the explanatory variable is useful in predicting the outcome variable Explain

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Question: For a given data set containing 18 points, the assumptions of the linear model are satisfied. The following values are computed: b1 = 5.58 and

For a given data set containing 18 points, the assumptions of the linear model are satisfied. The following values are computed: b1 = 5.58 and sb = 4.42. Perform a test of the hypothesis H0 : β1 = 0 versus H1: β1 ≠ 0.

Use the α = 0.05 level of significance. Can you conclude that the explanatory variable is useful in predicting the outcome variable? Explain.

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