Use Chebyshev’s inequality to find a lower bound on Pr(−8 < X < 16)
where the random variable X has a mean μ = 4 and variance σ 2 = 16 .
(5%)
(a) Find the least squares line. (5%)
(b) Calculate SSE. (5%)
(c) Calculate the estimated variance (s2 ) of random error (ε ) . (5%)
(d) Find a 95% confidence interval for the mean value of y when x = 2.5 .(5%)
(e) Find a 95% prediction interval for y when x = 4 . (5%)
(f) Calculate the coefficient of determination. (5%)
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