Question

79, 0.33 0 9.3.32 Assigned Media Question Help Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. The table shows the shoe size and heights (in) for 6 men. Shoe size, 7,5 9.0 10.0 11.5 13.0 13,5 Height, y 655 69,6 73.5 70.5 74.5 74,5 Find the regression equation (Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. 1 part remaining Clear All Check A •Previous Next

Answer 1

solution,

X	Y	XY	X^2	Y^2
7.5	65.5	491.25	56.25	4290.25
9	69.5	625.5	81	4830.25
10	73.5	735	100	5402.25
11.5	70.5	810.75	132.25	4970.25
13	74.5	968.5	169	5550.25
13.5	74.5	1005.75	182.25	5550.25

n	6
sum(XY)	4636.75
sum(X)	64.50
sum(Y)	428.00
sum(X^2)	720.75
sum(Y^2)	30593.50
Numerator	214.50
Denominator	248.84
r	0.8620
r square	0.7430
Xbar(mean)	10.7500
Ybar(mean)	71.3333
b	1.3059
a	57.2945

b = ΠΣxy - (Σκ) Σy) ΠΣχ2 - (Σx)2

b = 1.3059

a = Σy - bΣΧ n

a = 57.2945

$\hat y$ = bx + a

$\hat y$ = 1.306x + 57.295