Question

We have a dataset with n = 10 pairs of observations (Li, Yi), and n τη α, = 683, 9 = 813, 1=1 Σ Σ? = 47, 405, Στ.μ. = 56, 089

What is an approximate 95% prediction interval for the response yo at 20 60?

What is an approximate 95% confidence interval for the mean response at :20 60?What is an approximate 99% confidence interval for the intercept of the line of best fit?

What is an approximate 99% confidence interval for the slope of the line of best fit?

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x = { x 683 n=10 47605-68.39 x 10 ssy = 66731 -10 (813) 2 Ssxy = {(xy-nă ý = 56089-10(68.3) ( 8 1-3 Given 68.3 y = {yi 813 81mean ů 11. = 75.1407 llylko tit 95% confidence interval for the response ad H=60 frediction interval is Confidence 1 + (xordegg.s. confidence interval for intercept. 0.01 020 25 0.005 2/2 10-2 = 3,3.55 Se (Bo) = MSE [5+2 {(x-7) 2 27,21 36291 [to +(68(0.74 2098 I 3355 Xo. 189715848 . (0.742098 + 0.63649667) x = 1% = 0.01 a/2=0.oos taizin-z = 3.355 Confidence interval Se CÊ

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