Question

Because elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height from the height to the knee. Observe the data, in centimeters, for five elderly men. Knee height x (cm) 58.1 47 43.7 45.1 54.9 Overall height y (cm) 192 153 146 162.8 169.5 Use your calculator or software. What is the equation of the least-squares regression line for predicting height from the knee height? (Enter your answers rounded to one decimal place.) ỹ = + X

Answer 1

X	Y	XY	X^2	Y^2
58.1	192	11155.2	3375.61	36864
47	153	7191	2209	23409
43.7	146	6380.2	1909.69	21316
45.1	162.8	7342.28	2034.01	26503.84
54.9	169.5	9305.55	3014.01	28730.25

PREDICTED Y= a +bX b=TSDx SDy a=Y - 6X

n	5
sum(XY)	41374.23
sum(X)	248.80
sum(Y)	823.30
sum(X^2)	12542.32
sum(Y^2)	136823.09

b	2.5
a	39.7

ycap = a + bx

ycap = 39.7 + 2.5x