Question: For a given data set containing 26 points, the assumptions of the linear model are satisfied. The following values are computed: b1 = 46.8 and

For a given data set containing 26 points, the assumptions of the linear model are satisfied. The following values are computed: b1 = 46.8 and sb = 15.2. Perform a test of the hypothesis H0 : β1 = 0 versus H1: β1 > 0.

Use the α = 0.01 level of significance. Can you conclude that the explanatory variable is useful in predicting the outcome variable? Explain.

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