Question: Consider an experiment studying the linear relationship between the percentage of a certain drug in the bloodstream of a subject and the length of time

Consider an experiment studying the linear relationship between the percentage of a certain drug in the bloodstream of a subject and the length of time it takes the subject to react to a stimulus. Suppose data were collected for six subjects, and the results are in the following pairs: (x, y) = (1, 1), (2, 1), (3, 2), (4, 3), (5, 3), (6, 4).

(a) Estimate and interpret the estimate of .

(b). Assume 1 = 0.63, construct a 95% confidence interval for

(c). Assume 1 = 0.63, Conduct a test of hypothesis to determine if a positive linear relationship exists between x and y. Use = 0.05 level.

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