Suppose we have a linear equation through the origin (Exercise 7.28) μ_Y|_x= β_x.
(a) Estimate the regression line passing through the origin for the following data:

(b) Suppose it is not known whether the true regression should pass through the origin. Estimate the linear model μ_{Y |x} = β₀ + β_1x and test the hypothesis that β₀ = 0, at the 0.10 level of significance, against the alternative that β₀ ‰  0.

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