[See Solution] Assume simple linear regression Y = α + βx + Є is appropriate for pleasure of a randomly chosen person, in grams of endorphins per hour,
Question: Assume simple linear regression Y = α + βx + Є
is appropriate for pleasure of a randomly chosen person, in grams of endorphins per hour, as a function of years spent studying math. I collect data (x_1, y_1), (x_2, y_2), …, (x_{10}, y_{10}), where y is number of grams of endorphins per hour and x is number of years spent studying math, and get the following summaries
Σ x_i = 80, Σ y_i = 100, Σ (x_i)^2 = 740, Σ (y_i)^2 = 1200, Σ (x_iy_i) = 850.
- Get the equation of the estimated regression line.
- Get a 95% confidence interval for the slope, β, of the true regression line.
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