Question

[Q#2] (8pts) For the following data set, compute the equation of the least squares regression line and correlation coefficient. 20 8 8 13 6 15 7 25 6 27 5 y 4

Answer 1

8.5 8.0 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 4 ON 00 10 12 14 16 18 20 22 24 26 28 30 32

X Y X Y Χ. Χ 8 8 64 13 6 15 7 64 78 105 80 150 135 4 20 25 27 169 225 400 625 729 6 5 2: Find the sum of every column: ΣΧ = 108, ΣΥ= 36, ΣΧ.Υ = 612, ΣΧ? = 2212

α = ΣΥΣΧ? – ΣΧ.ΣΧΥ η-ΣΧ2 – (Σ Χ)? 36 - 2212 – 108 - 612 6. 2212 – 1082 & 8.418 6 - 612 – 108 - 36 6. 2212 – (108) η-ΣΧΥ – ΣΧ.ΣΥ 6 η-ΣΧ2 – (Σ Χ)? Substitute a and b in regression equation formula -0.134 y = α + 6.0 9 8.418 0.134 -

ηΣΧΥ – ΣΧ.ΣΥ Τ - Vn ΣΧ? - (ΣΣ)?] - [ΣΥ? – (ΣΥ)? r R -0.6954 6 - 612 – 108 - 36 [6 - 2212 – 1082] - [6 - 226 – 362]