Question

8.

1. Draw a Scatter Diagram

2. Compute the Regression Equation

3. Predict Mr. LeBron James shoe size, given his height is 95 inches.

(10 Points)

   Height Inches (x) Shoe Size (y) n = 6

76	12
72	11
65	8
78	13
82	16
67	9

Sum of x = 440 Sum of y = 69

Sum of x*y = 5,153

Sum of x2 = 32,482

Sum of y2 = 835

X	Y	XY	X2	Y2
76	12	912	5,776	144
72	11	792	5,184	121
65	8	520	4,225	84
78	13	1,014	6,084	169
82	16	1,312	6,724	257
67	9	603	4,489	81
440	69	5,153	32,482	835

Answer 1

Scattered diagram is 18 16 14 12 10 Series1 8 6 4 2 0 O 20 40 60 80 100

y y2 144 Σ*y 912 76 12 5776 72 11 5184 121 792 65 8 4225 64 520 78 13 6084 169 1014 82 16 6724 256 1312 67 9 4489 81 603 440 69 32482 835 5153 Σx=440, Σy=69, Σx2 =32482, Σy] =835, ΣΧΥ=5153 Σα)2 Sx =Σx2 - =215.33 m Say -Σy? (Σ), =41.5 m Σα)Σv) Say Exy- = 93.00 m

Regression equation Slope bi Sxy Sxx 93 = 0.4319 215.33 Intercept bo Σν Sx 69 -b1 6 P = 0.4319) (440) = -20.1718 n n The least square regression equation is ŷ = bo+bịx = -20.1718 +0.4318x Given Height x =95 Predicted shoe size is û = -20.1718 +0.4318(95) = 20.8492 or 21