Body weight and oxygen consumption were measured for two groups of Laurentian University athletes, males and females. The original data has been transformed such that:

X = log10 (Body weight, in kg) and Y = log10 (Oxygen, in mg / hour)

The following table contains rounded values for the variables:

Male athletes	Female athletes
X	Y	X	Y
2.176	0.825	1.949	1.233
2.193	1.165	1.919	1.164
1.973	0.917	1.613	0.966
1.845	0.815	1.322	0.653
1.903	0.962	1.699	0.892
1.869	0.545	1.672	0.774
1.806	0.642
1.763	0.755
1.716	0.617
1.792	0.739
1.699	0.596
1.681	0.491
1.643	0.699
1.477	0.416

S2x= 0.039878615	S2x= 0.0522374
S2y= 0.040250538	S2y= 0.0497110
Sxy= 0.032298923	Sxy= 0.0466116

a) Calculate the coefficients of the estimation line of Y from X,

y = a + bx, for each sample (2 points)

b) Check if the slope b of the estimation line of each of the two samples differs significantly from 0 (6 points)

c) How does oxygen uptake appear to be related to body weight in these athletes? (2 points)

d) Compare the slopes and the positions of the two estimation lines. The preliminary results obtained on the two combined samples made it possible to calculate the following quantities: (8 points)

s2x= 0.044557368

sxy=0.051263473

s2y=0.028238894

e)In what interval will the oxygen consumption of a new individual from each of the two groups of athletes be included in the significance levela = 0.05if his weight is 100 kg (and his log10 X = 2.0)?

(5 points)

f) Compare the metabolism of the two groups of athletes.(2 points)